Dataset Viewer
question
stringclasses 5
values | choices
sequence | answer
class label 3
classes | negate_openai_prompt
dict |
|---|---|---|---|
For a stationary autoregressive process, shocks will | [
"Eventually die away",
"Persist indefinitely",
"Grow exponentially",
"Never occur"
] | 0A
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: For a stationary autoregressive process, shocks will",
"role": "user"
} |
Consider the following AR(1) model with the disturbances having zero mean and unit variance
yt = 0.2 + 0.4 yt-1 + ut
The (unconditional) mean of y will be given by | [
"0.2",
"0.4",
"0.5",
"0.33"
] | 3D
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Consider the following AR(1) model with the disturbances having zero mean and unit variance\n\nyt = 0.2 + 0.4 yt-1 + ut\n\nThe (unconditional) mean of y will be given by",
"role": "user"
} |
Suppose that a test statistic has associated with it a p-value of 0.08. Which one of the following statements is true?
(i) If the size of the test were exactly 8%, we would be indifferent between rejecting and not rejecting the null hypothesis
(ii) The null would be rejected if a 10% size of test were used
(iii) The null would not be rejected if a 1% size of test were used
(iv) The null would be rejected if a 5% size of test were used. | [
"(ii) and (iv) only",
"(i) and (iii) only",
"(i), (ii), and (iii) only",
"(i), (ii), (iii), and (iv)"
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Suppose that a test statistic has associated with it a p-value of 0.08. Which one of the following statements is true?\n\n(i) If the size of the test were exactly 8%, we would be indifferent between rejecting and not rejecting the null hypothesis\n\n(ii) The null would be rejected if a 10% size of test were used\n\n(iii) The null would not be rejected if a 1% size of test were used\n\n(iv) The null would be rejected if a 5% size of test were used.",
"role": "user"
} |
What would be then consequences for the OLS estimator if heteroscedasticity is present in a regression model but ignored? | [
"It will be biased",
"It will be inconsistent",
"It will be inefficient",
"All of (a), (b) and (c) will be true."
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: What would be then consequences for the OLS estimator if heteroscedasticity is present in a regression model but ignored?",
"role": "user"
} |
Suppose now that a researcher wishes to use information criteria to determine the optimal lag length for a VAR. 500 observations are available for the bi-variate VAR, and the values of the determinant of the variance-covariance matrix of residuals are 0.0336, 0.0169, 0.0084, and 0.0062 for 1, 2, 3, and 4 lags respectively. What is the optimal model order according to Akaike's information criterion? | [
"1 lag",
"2 lags",
"3 lags",
"4 lags"
] | 2C
| {
"content": "Please negate the text by adding negation cues or by substituting the main nouns/verbs/adjectives with their antonyms. Only reply with the negated sentence.\nSentence: Suppose now that a researcher wishes to use information criteria to determine the optimal lag length for a VAR. 500 observations are available for the bi-variate VAR, and the values of the determinant of the variance-covariance matrix of residuals are 0.0336, 0.0169, 0.0084, and 0.0062 for 1, 2, 3, and 4 lags respectively. What is the optimal model order according to Akaike's information criterion?",
"role": "user"
} |
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