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The time series has a trend and cyclic component added together. Which components are most likely present in the given time series?
[ "Linear trend and sine wave", "Exponential trend and sine wave", "No trend and sawtooth wave" ]
Exponential trend and sine wave
multiple-choice
null
null
26
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Sine Wave", "Sawtooth Wave", "Additive Composition" ]
For trend, check if the slope is constant or changes over time. For cyclic component, check the overall shape of the time series.
Pattern Recognition
Cycle Recognition
301
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The following time series has an anomaly with short term disruption on its pattern. What is the likely pattern of the time series without the anomaly?
[ "Sine wave times linear trend", "Square wave times log trend", "Sawtooth wave times linear trend" ]
Sine wave times linear trend
multiple_choice
null
null
72
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Wander Anomaly" ]
Wander anomaly brings short term disruption on the pattern. You should focus on the overall pattern of the time series without the anomaly.
Anolmaly Detection
General Anomaly Detection
302
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You are seeing two instances of random walk. Are they likely to have the same variance?
[ "No, time series 2 has higher variance", "Yes, they have the same variance", "No, time series 1 has higher variance" ]
No, time series 2 has higher variance
multiple_choice
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93
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise", "Variance" ]
Random walk is a time series model where the next value is a random walk from the previous value. Variance refers to the distance of the values from the previous steps. At a high level, you should check the distance of the values from the previous steps for both time series.
Similarity Analysis
Distributional
303
null
The given time series is a square wave. What is the most likely period of the square wave?
[ "78.95", "42.54", "14.81" ]
78.95
multiple-choice
null
null
22
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Square Wave", "Period" ]
Check the time interval between two peaks.
Pattern Recognition
Cycle Recognition
304
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What is the type of the trend of the given time series?
[ "Exponential", "Linear", "No Trend" ]
Linear
multiple_choice
null
null
1
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend" ]
It would be helpful to check if slope of the time series changes over time.
Pattern Recognition
Trend Recognition
305
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Which of the following best describe the cycle pattern in the given time series?
[ "Amplitude increase over time", "Amplitude decrease over time", "Amplitude remain the same over time" ]
Amplitude increase over time
multiple-choice
null
null
28
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline, and see how it changes over time.
Pattern Recognition
Cycle Recognition
306
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Two time series are given. Both of them have a noise component. Do they have the same level (variance) of noise?
[ "Yes, they both have the same level of noise", "No, they have different level of noise" ]
Yes, they both have the same level of noise
binary
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88
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Variance" ]
Noise level refers to the amplitude of the random fluctuations in the time series. Both time series have a white noise component added to it. You should check the amplitude of the noise for both time series.
Similarity Analysis
Shape
307
null
Two time series are given. Both of them have a noise component. Do they have the same type of noise?
[ "No, they have different noise: white noise and red noise", "Yes, they both have Gaussian white noise" ]
No, they have different noise: white noise and red noise
binary
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6.7154800499122205, 6.134261716686848, 5.543342615274012, 5.546749941430781 ]
87
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise", "Additive Composition" ]
When a white noise is added to a time series, it is expected the random fluctuations have similar amplitude or distribution. Random walk, on the other hand, can result in very different noise patterns.
Similarity Analysis
Shape
308
null
Which additive combination of patterns best describes the time series?
[ "SawtoothWave + SquareWave", "SineWave + SquareWave", "SineWave + SawtoothWave" ]
SineWave + SquareWave
multiple-choice
null
null
16
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave", "Additive Composition" ]
Imagine the shape of the time series as addition of two different patterns.
Pattern Recognition
Cycle Recognition
309
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Does time series 1 granger cause time series 2?
[ "Yes, time series 1 granger causes time series 2", "No, they are not granger causal", "No, time series 2 granger causes time series 1" ]
No, time series 2 granger causes time series 1
binary
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101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
310
null
Weak stationarity requires the mean, variance to be constant over time. Does the following time-series exhibit weak stationarity?
[ "No, the variance is different overtime", "No, the mean is different overtime", "Yes" ]
No, the variance is different overtime
multiple_choice
null
null
33
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
For mean, check if the average value changes over time. For variance, check if the degree of variation changes over time.
Pattern Recognition
Stationarity Detection
311
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What is the type of the trend of the given time series?
[ "Exponential", "No Trend", "Linear" ]
No Trend
multiple_choice
null
null
1
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend" ]
It would be helpful to check if slope of the time series changes over time.
Pattern Recognition
Trend Recognition
312
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Is the given time series likely to be stationary after removing the cycle component?
[ "Yes", "No" ]
No
binary
null
null
35
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Sine Wave", "Square Wave" ]
Cycle component brings the cyclic pattern to the time series. Assume this effect is removed, does the time series satisfy the stationarity condition?
Pattern Recognition
Stationarity Detection
313
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Is time series 2 a lagged version of time series 1?
[ "No, time series 1 is a lagged version of time series 2", "Yes", "No, they do not share similar pattern" ]
Yes
multiple_choice
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96
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 2 is a lagged version, then it should look the same to time series 1 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
314
null
Weak stationarity requires the mean, variance to be constant over time. Does the following time-series exhibit weak stationarity?
[ "No, the variance is different overtime", "Yes", "No, the mean is different overtime" ]
Yes
multiple_choice
null
null
33
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
For mean, check if the average value changes over time. For variance, check if the degree of variation changes over time.
Pattern Recognition
Stationarity Detection
315
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What is the most likely variance of the given time series?
[ "0", "0.38", "varies across time" ]
varies across time
multiple_choice
null
null
42
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Variance" ]
Check the degree of variation of the time series over time.
Pattern Recognition
First Two Moment Recognition
316
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-2.8786195554073983, 3.1692140221092036, 14.23657391832984, -6.989054310584801, 2.2206926027972607, -11.769990960889123, -4.789880263130259, 16.93488516450094, 13.567469488534131, 11.72043399402927, 17.940135936709375, 0.33802609980722775, -10.71595086363428, -30.337362613503338, -3.9892693312608243, 4.870973425883699, 33.420045162029524, -2.500503459810619, 35.83663667981056, -36.67952638027579, 45.128251734305024, 19.59564061517634, 31.73664397127495, -14.457950526736106 ]
What is the direction of the linear trend of the given time series, if any?
[ "Upward", "No Trend", "Downward" ]
No Trend
multiple_choice
null
null
4
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
Check if the time series values increase or decrease over time.
Pattern Recognition
Trend Recognition
317
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Which of the following best describe the cycle pattern in the given time series?
[ "Period increase over time", "Period decrease over time", "Period remain the same over time" ]
Period remain the same over time
multiple-choice
null
null
29
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Period" ]
Check the time interval between two peaks, and see how it changes over time.
Pattern Recognition
Cycle Recognition
318
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What is the most likely variance of the given time series?
[ "0.58", "varies across time", "0" ]
0.58
multiple_choice
null
null
42
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Variance" ]
Check the degree of variation of the time series over time.
Pattern Recognition
First Two Moment Recognition
319
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Is the given time series likely to be a random walk process?
[ "Yes", "No" ]
No
binary
null
null
53
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
Random walk is a non-stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. Another important property is that the noise is correlated over time. Does the time series seem to have these properties?
Noise Understanding
Red Noise Recognition
320
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One type of noise in time series is random walk. Is the given time series noisy (noise dominates other patterns) based on your understanding of random walk
[ "No", "Yes" ]
Yes
binary
null
null
56
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
When we say a time series is noisy, it typically refers to there are random fluctuations that disrupt the overal pattern of the time series. When the time series has a random walk noise applied to it, it seems like the pattern are even more disrupted. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
321
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What is the direction of the linear trend of the given time series, if any?
[ "No Trend", "Upward", "Downward" ]
Upward
multiple_choice
null
null
4
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
Check if the time series values increase or decrease over time.
Pattern Recognition
Trend Recognition
322
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The given time series has multiple trends followed by each other, what is the correct ordering of the trend components?
[ "Exponential -> Linear -> Log", "Log", "Linear -> Exponential -> Log", "Linear -> Exponential" ]
Linear -> Exponential -> Log
multiple_choice
null
null
9
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
Identify the different components first, and then check the assignment of each component.
Pattern Recognition
Trend Recognition
323
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You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series", "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time" ]
Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat
multiple_choice
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73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
324
null
Is the noise in the time series more likely to be additive or multiplicative to the signal?
[ "Multiplicative", "Additive" ]
Multiplicative
binary
null
null
57
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Additive Composition", "Multiplicative Composition", "Gaussian White Noise" ]
Additive noise is added to the signal, while multiplicative noise is multiplied to the signal. When a trend component is added with a white noise, the general trend still remains. When a trend component is multiplied with a white noise, the noise is amplified. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
325
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The given time series is a sine wave followed by a square wave patterns with different amplitude. How does the amplitude vary over time?
[ "Decrease", "Increase", "Remain the same" ]
Increase
multiple-choice
null
null
19
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Amplitude" ]
Focus on the amplitude instead of cyclic pattern change, check if the distance between the peak and the baseline changes.
Pattern Recognition
Cycle Recognition
326
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Are the given two time series likely to have the same underlying distribution?
[ "Yes, they have the same underlying distribution: Gaussian White Noise", "No, they have different underlying distribution" ]
Yes, they have the same underlying distribution: Gaussian White Noise
binary
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0.9203567054752319, -1.1606337881405697 ]
91
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise" ]
You should focus on the underlying distribution of the time series. You can start from analyzing whether both time series are stationary. Then, you can check if they have the same mean and degree of variation from mean.
Similarity Analysis
Distributional
327
null
You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series", "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time" ]
Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat
multiple_choice
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73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
328
null
Two time series are given. Both of them have a noise component. Do they have the same level (variance) of noise?
[ "No, they have different level of noise", "Yes, they both have the same level of noise" ]
No, they have different level of noise
binary
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88
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Variance" ]
Noise level refers to the amplitude of the random fluctuations in the time series. Both time series have a white noise component added to it. You should check the amplitude of the noise for both time series.
Similarity Analysis
Shape
329
null
What is the most likely mean of the given time series?
[ "-12.24", "4.76", "28.19" ]
4.76
multiple_choice
null
null
41
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Mean" ]
The given time series is stationary. Check the average value of the time series over time.
Pattern Recognition
First Two Moment Recognition
330
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Covariance stationarity in a time series means constant mean, constant variance and that autocovariance depends only on time lag, not absolute time. Is the given time series covariance-stationary?
[ "No", "Yes" ]
No
binary
null
null
36
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "AutoRegressive Process", "Linear Trend" ]
Check if the covariance between any two points depends only on the time distance between them.
Pattern Recognition
Stationarity Detection
331
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74.62848746189401, 52.15800322024407, 51.999551227863236, 54.72379533978505, 56.82179413510221, 53.231903729540925, 74.96037218047587 ]
Is the given time series likely to have a non-stationary anomaly?
[ "Yes, due to trend reversal", "No, the anomaly is stationary (white noise)", "Yes, due to cutoff" ]
No, the anomaly is stationary (white noise)
binary
null
null
69
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Linear Trend", "Sine Wave", "Cutoff Anomaly", "Spike Anomaly" ]
Non-stationary anomaly refers to the anomaly that changes over time. You should check if the time series has a constant mean and variance over time. If not, you should check the type of anomaly based on the given definitions. For example, spikes anomaly are stationary.
Anolmaly Detection
General Anomaly Detection
332
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Is the two time series lagged version of each other despite minor noise?
[ "No, they are not lagged versions at all", "Yes, they are lagged versions" ]
No, they are not lagged versions at all
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100
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair", "Red Noise" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the noise. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
333
null
The given time series has sine wave pattern. How does its amplitude change from the beginning to the end?
[ "Remain the same", "Increase", "Decrease" ]
Increase
multiple-choice
null
null
17
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Base on the definition of amplitude, check if the distance between the peak and the baseline changes.
Pattern Recognition
Cycle Recognition
334
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The following time series has an anomaly. What is the most likely type of anomaly?
[ "Speed up/down: the period of cyclic components is different from other parts of the time series", "Spike: the pattern of time series is distorted by random large spikes", "Flip: the pattern is flipped at certain point in time" ]
Flip: the pattern is flipped at certain point in time
multiple_choice
null
null
64
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Spike Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
Anomaly is an observation that deviates from the general pattern in the time series. You should check if the time series has any sudden changes or unexpected patterns. If so, check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
335
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The following time series has an anomaly with short term disruption on its pattern. What is the likely pattern of the time series without the anomaly?
[ "Sine wave times linear trend", "Square wave times log trend", "Sawtooth wave times linear trend" ]
Square wave times log trend
multiple_choice
null
null
72
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Wander Anomaly" ]
Wander anomaly brings short term disruption on the pattern. You should focus on the overall pattern of the time series without the anomaly.
Anolmaly Detection
General Anomaly Detection
336
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What is the type of the trend of the given time series?
[ "Exponential", "No Trend", "Linear" ]
Linear
multiple_choice
null
null
1
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend" ]
It would be helpful to check if slope of the time series changes over time.
Pattern Recognition
Trend Recognition
337
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4.68438611263294, 6.097824269884693, 3.601068648647421, 5.270831577452073, 4.059678655419657, 4.8322949342316575, 4.907038409729153, 5.706744868331553, 4.614201359169721, 5.616911635911255, 4.381169399080894, 5.645950279244674, 4.742366296731338, 5.020517115141456, 4.820947792205982 ]
Are the given two time series likely to have the same underlying distribution?
[ "Yes, they have the same underlying distribution: Gaussian White Noise", "No, they have different underlying distribution" ]
No, they have different underlying distribution
binary
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-0.09802359197833241, 0.010918749798057334, 0.03411023135596594 ]
91
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise" ]
You should focus on the underlying distribution of the time series. You can start from analyzing whether both time series are stationary. Then, you can check if they have the same mean and degree of variation from mean.
Similarity Analysis
Distributional
338
null
The following time series has an anomaly where the pattern is cutoff at certain point in time. What is the likely pattern of the time series without the anomaly?
[ "Sawtooth wave with exponential trend", "Sine wave with linear trend", "Square wave with log trend" ]
Sawtooth wave with exponential trend
multiple_choice
null
null
67
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Cutoff Anomaly" ]
Cutoff anomaly brings sudden disappearance of the pattern. However, this only influences a small part of the time series. Can you check the place where the pattern disappears and try to recover the original pattern?
Anolmaly Detection
General Anomaly Detection
339
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One type of noise in time series is white noise. Is the given time series noisy (noise dominates other patterns) based on your understanding of white noise?
[ "No", "Yes" ]
No
binary
null
null
55
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise" ]
When we say a time series is noisy, it typically refers to there are random fluctuations that disrupt the overal pattern of the time series. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
340
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Does time series 1 granger cause time series 2?
[ "No, time series 2 granger causes time series 1", "Yes, time series 1 granger causes time series 2", "No, they are not granger causal" ]
No, they are not granger causal
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101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
341
null
Is the two time series lagged version of each other despite amplitude difference?
[ "Yes, they are lagged versions", "No, they are not lagged versions" ]
Yes, they are lagged versions
binary
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99
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Try to shift one time series by a certain number of steps and check if it looks the same as the other time series despite the scale difference. If they are lagged versions, they should look very similar in general after the shift.
Causality Analysis
Granger Causality
342
null
Is time series 1 a lagged version of time series 2?
[ "No, they do not share similar pattern", "No, time series 2 is a lagged version of time series 1", "Yes" ]
Yes
multiple_choice
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97
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
Focus on the time delay between the two time series. If time series 1 is a lagged version, then it should look the same to time series 2 after being shifted by a certain number of steps. Can you check this?
Causality Analysis
Granger Causality
343
null
You are given two Autoregressive processes AR(1). Which of the following time series has higher standard deviation for their random component?
[ "Time series 2", "Time series 1" ]
Time series 2
multiple_choice
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61
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Variance" ]
The standard deviation of the noise component is related to the average distance between the data points and their past values. You should check the degree of variation of the time series over time. Which time series has a higher change in average?
Noise Understanding
Signal to Noise Ratio Understanding
344
null
Is the given time series likely to be a random walk process?
[ "Yes", "No" ]
Yes
binary
null
null
53
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
Random walk is a non-stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. Another important property is that the noise is correlated over time. Does the time series seem to have these properties?
Noise Understanding
Red Noise Recognition
345
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The given time series has a cyclic component and a trend component added together. What is the most likely type of the trend component?
[ "Linear", "Exponential", "Log" ]
Linear
multiple_choice
null
null
10
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend", "Sine Wave", "Additive Composition" ]
Despite having a cyclic component, check the general trend of the time series.
Pattern Recognition
Trend Recognition
346
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The given time series is a sine wave. What is the most likely amplitude of the sine wave?
[ "7.75", "1.3", "19.74" ]
19.74
multiple-choice
null
null
21
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
347
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You are given two time series which both have trend components. Do they have the same type of trend?
[ "No, time series 1 has exponential trend and time series 2 has log trend", "No, time series 1 has linear trend and time series 2 has exponential trend", "Yes, they both have exponential trend" ]
No, time series 1 has linear trend and time series 2 has exponential trend
multiple_choice
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85
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Log Trend" ]
First identify the trend component for each time series. Then, check if they are equal.
Similarity Analysis
Shape
348
null
Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution", "Yes, they have the same underlying distribution" ]
Yes, they have the same underlying distribution
binary
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95
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise", "AutoRegressive Process", "Linear Trend" ]
When we say two time series have the same underlying distribution, you should check if they have the same mean and variance. They should also share similar behaviors over time.
Similarity Analysis
Distributional
349
null
The time series has three cyclic pattern composed additively. Which cycle pattern is most dominant in the given time series in terms of amplitude?
[ "SineWave", "SawtoothWave", "SquareWave" ]
SawtoothWave
multiple-choice
null
null
20
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave", "Additive Composition", "Amplitude" ]
The cyclic patterns have different period and amplitude. The dominant pattern is the one that has the highest amplitude. Identify the pattern with the highest peak.
Pattern Recognition
Cycle Recognition
350
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What is the most likely linear trend coefficient of the given time series? Linear trend coefficient here refers to the end value of the linear trend.
[ "0", "3.96", "9.38" ]
3.96
multiple_choice
null
null
2
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
The bigger the slope of the line, the higher the trend coefficient.
Pattern Recognition
Trend Recognition
351
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What is the primary cyclic pattern observed in the time series?
[ "No Pattern at all", "SquareWave", "SawtoothWave", "SineWave" ]
SawtoothWave
multiple-choice
null
null
15
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave" ]
Check the overall shape of the time series against the definition of provided concepts
Pattern Recognition
Cycle Recognition
352
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Which of the following time series is more likely to be an AR(1) process?
[ "Time Series 1", "Time Series 2" ]
Time Series 2
multiple_choice
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48
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Stationarity" ]
AR(1) process is a stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. The other option is likely not stationary.
Pattern Recognition
AR/MA recognition
353
null
The given time series has a trend and a cyclic component. It also has an anomaly. What is the most likely combination of components without the anomaly?
[ "Log trend and sawtooth wave", "Linear trend and sine wave", "Exponential trend and square wave" ]
Linear trend and sine wave
multiple_choice
null
null
70
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Exponential Trend", "Square Wave", "Log Trend", "Sawtooth Wave", "Cutoff Anomaly", "Flip Anomaly" ]
The anomaly only influences a small part of the time series. You should focus on the overall pattern of the time series without the anomaly. Can you recover the original pattern?
Anolmaly Detection
General Anomaly Detection
354
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Despite the noise, does the given two time series have similar pattern?
[ "Yes, they have similar seasonal pattern", "No, they have different seasonal pattern" ]
No, they have different seasonal pattern
binary
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79
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave" ]
Noise refers to the random fluctuations in the time series. You should focus on the overall pattern of the time series. Pattern refers to the general shape of the time series. In this case, you see both time series have cyclic patterns. Do their behaviors at peak and trough look similar?
Similarity Analysis
Shape
355
null
Which additive combination of patterns best describes the time series?
[ "SawtoothWave + SquareWave", "SineWave + SquareWave", "SineWave + SawtoothWave" ]
SineWave + SawtoothWave
multiple-choice
null
null
16
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave", "Additive Composition" ]
Imagine the shape of the time series as addition of two different patterns.
Pattern Recognition
Cycle Recognition
356
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The given time series is a sawtooth wave. What is the most likely amplitude of the sawtooth wave?
[ "18.53", "2.51", "6.07" ]
18.53
multiple-choice
null
null
23
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sawtooth Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
357
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The given time series is a random walk process. What is the most likely noise level (variance) at each step?
[ "0.41", "17.88" ]
0.41
multiple_choice
null
null
54
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
The noise level refers to the standard deviation of the noise. You should check the degree of variation of the time series over time. You can estimate the standard deviation by observing the average distance between the data points and the past value.
Noise Understanding
Red Noise Recognition
358
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You are given two time series where one is the lagged version of the other. What is the most likely lagging step?
[ "Lagging step is between 5 to 10", "Lagging step is between 30 to 45", "Lagging step is between 60 to 75" ]
Lagging step is between 60 to 75
multiple_choice
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98
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
You already know that one time series is the lagged version of the other. Shift the time series by lags proposed in the options and check which one looks the same as the other time series.
Causality Analysis
Granger Causality
359
null
What is the direction of the linear trend of the given time series, if any?
[ "Downward", "Upward", "No Trend" ]
Downward
multiple_choice
null
null
4
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
Check if the time series values increase or decrease over time.
Pattern Recognition
Trend Recognition
360
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The time series has a trend and cyclic component added together. Which components are most likely present in the given time series?
[ "Linear trend and sine wave", "No trend and sawtooth wave", "Exponential trend and sine wave" ]
Linear trend and sine wave
multiple-choice
null
null
26
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Sine Wave", "Sawtooth Wave", "Additive Composition" ]
For trend, check if the slope is constant or changes over time. For cyclic component, check the overall shape of the time series.
Pattern Recognition
Cycle Recognition
361
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What is the most likely linear trend coefficient of the given time series? Linear trend coefficient here refers to the end value of the linear trend.
[ "3.65", "8.36", "0" ]
3.65
multiple_choice
null
null
2
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend" ]
The bigger the slope of the line, the higher the trend coefficient.
Pattern Recognition
Trend Recognition
362
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The given time series is a square wave. What is the most likely period of the square wave?
[ "76.95", "52.35", "18.39" ]
52.35
multiple-choice
null
null
22
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Square Wave", "Period" ]
Check the time interval between two peaks.
Pattern Recognition
Cycle Recognition
363
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Is the noise in the time series more likely to be additive or multiplicative to the signal?
[ "Multiplicative", "Additive" ]
Additive
binary
null
null
59
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Additive Composition", "Multiplicative Composition", "Gaussian White Noise" ]
Additive noise is added to the signal, while multiplicative noise is multiplied to the signal. When a cyclic component is added with a white noise, the cyclic pattern still remains. When a cyclic component is multiplied with a white noise, the noise is amplified. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
364
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Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution: AR(1) and MA(5)", "Yes, they have the same underlying distribution: AR(1)" ]
Yes, they have the same underlying distribution: AR(1)
binary
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92
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Moving Average Process" ]
The difference between AR(1) and MA(1) is that AR(1) is a linear combination of past values and white noise, while MA(1) is a linear combination of past white noise values. You should check if the time series exhibit any dependency on the previous values. This could give you a clue about whether the time series is AR(1) or not. Check this for both time series.
Similarity Analysis
Distributional
365
null
Are the given two time series likely to have the same underlying distribution?
[ "Yes, they have the same underlying distribution: Gaussian White Noise", "No, they have different underlying distribution" ]
No, they have different underlying distribution
binary
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91
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise" ]
You should focus on the underlying distribution of the time series. You can start from analyzing whether both time series are stationary. Then, you can check if they have the same mean and degree of variation from mean.
Similarity Analysis
Distributional
366
null
Which of the following best describe the cycle pattern in the given time series?
[ "Amplitude remain the same over time", "Amplitude increase over time", "Amplitude decrease over time" ]
Amplitude decrease over time
multiple-choice
null
null
28
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Amplitude" ]
Check the distance between the peak and the baseline, and see how it changes over time.
Pattern Recognition
Cycle Recognition
367
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You are given two time series following similar pattern. Both of them have an anomaly. Do they have the same type of anomaly?
[ "Yes, Time series 1 and time series 2 both have flip anomaly", "No. They have different types of anomalies: cutoff and spikes" ]
Yes, Time series 1 and time series 2 both have flip anomaly
binary
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76
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Flip Anomaly", "Spike Anomaly" ]
For each time series, identify the type of anomaly based on the given definitions. Then, check if they have the same type of anomaly.
Anolmaly Detection
General Anomaly Detection
368
null
You are given two time series which both have upward trend. Which time series has a higher slope in terms of magnitude?
[ "Time series 2 has higher slope", "Time series 1 has higher slope" ]
Time series 2 has higher slope
binary
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80
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Sine Wave", "Sawtooth Wave" ]
Slope refers to the steepness of the trend. You should check the direction of the trend and the steepness of the trend. If the trend is upward, you should check the magnitude of the slope.
Similarity Analysis
Shape
369
null
Which of the following best describe the cycle pattern in the given time series?
[ "Period increase over time", "Period decrease over time", "Period remain the same over time" ]
Period increase over time
multiple-choice
null
null
29
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Period" ]
Check the time interval between two peaks, and see how it changes over time.
Pattern Recognition
Cycle Recognition
370
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The given time series has square wave pattern. How does its period change from the beginning to the end?
[ "Decrease", "Remain the same", "Increase" ]
Increase
multiple-choice
null
null
18
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Square Wave", "Period" ]
Base on the definition of period, check if the time interval between two peaks remains the same.
Pattern Recognition
Cycle Recognition
371
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4.198883442494698, 4.2055707273776575, 4.1705775946974954, 4.0702816705846105, 4.069151272070646, 3.9890311518975508, 4.085572976735031, 4.219675273091649, 4.24545237243481, 4.095231453243429, 4.015195763608266, 4.067163422814654, 4.0224745718471215, 3.985211074703729, 3.9425162683680597, 4.044769494325509 ]
Is the given time series likely to be a random walk process?
[ "Yes", "No" ]
No
binary
null
null
53
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Red Noise" ]
Random walk is a non-stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. Another important property is that the noise is correlated over time. Does the time series seem to have these properties?
Noise Understanding
Red Noise Recognition
372
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You are given two time series following similar pattern. Both of them have an anomaly. What is the likely type of anomaly in each time series?
[ "Time series 1 with cutoff anomaly and time series 2 with flip anomaly", "Time series 1 with flip anomaly and time series 2 with speed up/down anomaly", "Time series 1 with cutoff anomaly and time series 2 with speed up/down anomaly" ]
Time series 1 with cutoff anomaly and time series 2 with flip anomaly
multiple_choice
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74
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Cutoff Anomaly", "Flip Anomaly", "Speed Up/Down Anomaly" ]
You already know both time series have an anomaly. You should treat them separately and check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
373
null
Is the noise in the time series more likely to be additive or multiplicative to the signal?
[ "Multiplicative", "Additive" ]
Additive
binary
null
null
57
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Additive Composition", "Multiplicative Composition", "Gaussian White Noise" ]
Additive noise is added to the signal, while multiplicative noise is multiplied to the signal. When a trend component is added with a white noise, the general trend still remains. When a trend component is multiplied with a white noise, the noise is amplified. Can you check if it is the case for the given time series?
Noise Understanding
Signal to Noise Ratio Understanding
374
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8.640220357311392, 10.250201504746471, 8.284399615731143 ]
You are given two time series following similar pattern. One has an anomaly and the other does not. Which time series has the anomaly, and what is the likely type of anomaly?
[ "Time series 1 with speed up/down anomaly: the period of cyclic components is different from other parts of the time series", "Time series 1 with flip anomaly: the pattern is flipped at certain point in time", "Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat" ]
Time series 2 with cutoff anomaly: the pattern of time series disappeared for certain point in time and became flat
multiple_choice
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73
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Linear Trend", "Speed Up/Down Anomaly", "Cutoff Anomaly", "Flip Anomaly" ]
You should first identify the time series with the anomaly. Remember, both time series share similar pattern. Then, you should check the type of anomaly based on the given definitions.
Anolmaly Detection
General Anomaly Detection
375
null
Is the given time series likely to be stationary after removing the trend?
[ "Yes", "No" ]
Yes
binary
null
null
34
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Linear Trend", "Exponential Trend" ]
Trend brings the overall shape of the time series up or down. Assume this effect is removed, does the time series satisfy the stationarity condition?
Pattern Recognition
Stationarity Detection
376
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Is the given time series a white noise process?
[ "Yes", "No" ]
Yes
binary
null
null
50
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise" ]
White noise is a stationary process with a constant mean and variance. You should check if the time series has a constant mean and variance over time. Another important property is that the noise is uncorrelated over time. Does the time series seem to have these properties?
Noise Understanding
White Noise Recognition
377
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Does time series 1 granger cause time series 2?
[ "No, time series 2 granger causes time series 1", "No, they are not granger causal", "Yes, time series 1 granger causes time series 2" ]
No, they are not granger causal
binary
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101
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Granger Causality" ]
Granger causality is a statistical concept that determines whether one time series can predict another. While you cannot perform the statistical test, you can check if one time series can predict the other by shifting the time series by a certain number of steps. Do they look simiar after the shift?
Causality Analysis
Granger Causality
378
null
Seasonal stationarity refers to a time series where statistical properties remain constant within seasons but may vary between seasons. Does the time series exhibit seasonal stationarity?
[ "Yes", "No" ]
Yes
binary
null
null
37
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Sine Wave", "Linear Trend", "Gaussian White Noise" ]
Determine if the statistical properties of the series are constant within seasons across years.
Pattern Recognition
Stationarity Detection
379
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The given time series is a sawtooth wave. What is the most likely amplitude of the sawtooth wave?
[ "15.46", "5.09", "1.05" ]
15.46
multiple-choice
null
null
23
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sawtooth Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
380
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Is the given time series likely to be stationary after differencing?
[ "No", "Yes" ]
No
binary
null
null
31
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
Differencing is a common technique to make a time series stationary. Focus on checking if the trend is removed after differencing.
Pattern Recognition
Stationarity Detection
381
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Is the mean stable over time in the given time series?
[ "No", "Yes" ]
Yes
binary
null
null
43
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Mean" ]
Check if the average value of the time series changes over time.
Pattern Recognition
First Two Moment Recognition
382
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You are given two time series where one is the lagged version of the other. What is the most likely lagging step?
[ "Lagging step is between 60 to 75", "Lagging step is between 5 to 10", "Lagging step is between 30 to 45" ]
Lagging step is between 60 to 75
multiple_choice
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98
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Lagged Pair" ]
You already know that one time series is the lagged version of the other. Shift the time series by lags proposed in the options and check which one looks the same as the other time series.
Causality Analysis
Granger Causality
383
null
Which additive combination of patterns best describes the time series?
[ "SineWave + SawtoothWave", "SawtoothWave + SquareWave", "SineWave + SquareWave" ]
SawtoothWave + SquareWave
multiple-choice
null
null
16
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Sawtooth Wave", "Additive Composition" ]
Imagine the shape of the time series as addition of two different patterns.
Pattern Recognition
Cycle Recognition
384
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The following time series has an anomaly with short term disruption on its pattern. What is the likely pattern of the time series without the anomaly?
[ "Sawtooth wave times linear trend", "Sine wave times linear trend", "Square wave times log trend" ]
Square wave times log trend
multiple_choice
null
null
72
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Sawtooth Wave", "Square Wave", "Linear Trend", "Log Trend", "Wander Anomaly" ]
Wander anomaly brings short term disruption on the pattern. You should focus on the overall pattern of the time series without the anomaly.
Anolmaly Detection
General Anomaly Detection
385
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What is the most likely mean of the given time series?
[ "8.78", "29.77", "-17.25" ]
8.78
multiple_choice
null
null
41
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Mean" ]
The given time series is stationary. Check the average value of the time series over time.
Pattern Recognition
First Two Moment Recognition
386
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8.705415141131292, 8.697979558411733, 8.679646704640675, 8.707694571142907, 8.691124345962201, 8.798333444801795, 8.706401345665174, 8.766436621194408, 8.785736587393995, 8.947638002778485, 8.895758323665587, 8.811886235835324, 8.875061109391437, 8.732739947498054, 8.785463944335122, 8.843585563885705, 8.807011043981607, 8.86702445743766, 8.763555930144596, 8.692793444834276 ]
What type of trend does the time series exhibit in the latter half?
[ "Exponential", "No trend", "Linear" ]
Exponential
multiple_choice
null
null
14
medium
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend" ]
Focus on the pattern of growth or decline in the second half of the time series.
Pattern Recognition
Trend Recognition
387
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The given time series has a cycle component and a trend component. Is it an additive or multiplicative model between the two components?
[ "Multiplicative", "Additive" ]
Additive
multiple_choice
null
null
11
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Sine Wave", "Additive Composition", "Multiplicative Composition" ]
For a multiplicative composition, the amplitude of the cyclic component will increase or decrease depending on the trend component.
Pattern Recognition
Trend Recognition
388
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The time series has a trend and cyclic component added together. Which components are most likely present in the given time series?
[ "Linear trend and sine wave", "Exponential trend and sine wave", "No trend and sawtooth wave" ]
Exponential trend and sine wave
multiple-choice
null
null
26
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend", "Sine Wave", "Sawtooth Wave", "Additive Composition" ]
For trend, check if the slope is constant or changes over time. For cyclic component, check the overall shape of the time series.
Pattern Recognition
Cycle Recognition
389
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Is the given time series likely to be stationary after removing the cycle component?
[ "Yes", "No" ]
Yes
binary
null
null
35
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Sine Wave", "Square Wave" ]
Cycle component brings the cyclic pattern to the time series. Assume this effect is removed, does the time series satisfy the stationarity condition?
Pattern Recognition
Stationarity Detection
390
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Weak stationarity requires the mean, variance to be constant over time. Does the following time-series exhibit weak stationarity?
[ "No, the mean is different overtime", "No, the variance is different overtime", "Yes" ]
Yes
multiple_choice
null
null
33
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity" ]
For mean, check if the average value changes over time. For variance, check if the degree of variation changes over time.
Pattern Recognition
Stationarity Detection
391
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The given time series is a sine wave followed by a square wave. What is the most likely amplitude of the square wave?
[ "2.92", "17.32", "7.31" ]
7.31
multiple-choice
null
null
24
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Square Wave", "Amplitude" ]
After the sine wave, the square wave follows. Begin by identifying where the square wave starts. Next, measure the distance between its peak and baseline.
Pattern Recognition
Cycle Recognition
392
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The given time series has square wave pattern. How does its period change from the beginning to the end?
[ "Decrease", "Increase", "Remain the same" ]
Remain the same
multiple-choice
null
null
18
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Square Wave", "Period" ]
Base on the definition of period, check if the time interval between two peaks remains the same.
Pattern Recognition
Cycle Recognition
393
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Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution: AR(1) and MA(5)", "Yes, they have the same underlying distribution: AR(1)" ]
Yes, they have the same underlying distribution: AR(1)
binary
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92
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "AutoRegressive Process", "Moving Average Process" ]
The difference between AR(1) and MA(1) is that AR(1) is a linear combination of past values and white noise, while MA(1) is a linear combination of past white noise values. You should check if the time series exhibit any dependency on the previous values. This could give you a clue about whether the time series is AR(1) or not. Check this for both time series.
Similarity Analysis
Distributional
394
null
Which of the following best describe the cycle pattern in the given time series?
[ "Period remain the same over time", "Period decrease over time", "Period increase over time" ]
Period remain the same over time
multiple-choice
null
null
29
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sine Wave", "Period" ]
Check the time interval between two peaks, and see how it changes over time.
Pattern Recognition
Cycle Recognition
395
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Are the given two time series likely to have the same underlying distribution?
[ "No, they have different underlying distribution", "Yes, they have the same underlying distribution: Gaussian White Noise" ]
No, they have different underlying distribution
binary
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91
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Gaussian White Noise", "Red Noise" ]
You should focus on the underlying distribution of the time series. You can start from analyzing whether both time series are stationary. Then, you can check if they have the same mean and degree of variation from mean.
Similarity Analysis
Distributional
396
null
Piece-wise stationarity means a time series is stationary in distinct segments, with abrupt changes between segments. Each segment has its own constant statistical properties. Does the time series exhibit piecewise stationarity?
[ "Yes", "No" ]
No
binary
null
null
38
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Stationarity", "Linear Trend", "Gaussian White Noise" ]
Look for segments of the time series that are individually stationary, even if the whole series is not.
Pattern Recognition
Stationarity Detection
397
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The time series shows a structural break. What is the most likely cause of this break?
[ "Sudden shift in trend direction", "Change in variance in underlying distribution", "Abrupt frequency change" ]
Sudden shift in trend direction
multiple_choice
null
null
71
hard
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Gaussian White Noise", "Sine Wave" ]
You know the time series shows a structural break. Can you first identify the place where the break happens? Then, you should check the type of break based on the given options.
Anolmaly Detection
General Anomaly Detection
398
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The given time series is a sawtooth wave. What is the most likely amplitude of the sawtooth wave?
[ "16.33", "1.05", "5.21" ]
5.21
multiple-choice
null
null
23
easy
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Sawtooth Wave", "Amplitude" ]
Check the distance between the peak and the baseline.
Pattern Recognition
Cycle Recognition
399
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What type of trend does the time series exhibit in the latter half?
[ "Linear", "Exponential", "No trend" ]
Linear
multiple_choice
null
null
14
medium
Please answer the question and provide the correct option letter, e.g., A), B), C), D), and option content at the end of your answer. All information need to answer the question is given. If you are unsure, please provide your best guess.
[ "Linear Trend", "Exponential Trend" ]
Focus on the pattern of growth or decline in the second half of the time series.
Pattern Recognition
Trend Recognition
400
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