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MMLU-Pro / 7314 / Suppose that the value of R² for an estimated regression model is exactly…

Problem

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question

Suppose that the value of R2R^2 for an estimated regression model is exactly zero. Which of the following are true? i) All coefficient estimates on the slopes will be zero ii) The fitted line will be horizontal with respect to all of the explanatory variables iii) The regression line has not explained any of the variability of y about its mean value iv) The intercept coefficient estimate must be zero.
Plain-text mathematical notation (without MathML)
Suppose that the value of R² for an estimated regression model is exactly zero. Which of the following are true?

i) All coefficient estimates on the slopes will be zero

ii) The fitted line will be horizontal with respect to all of the explanatory variables

iii) The regression line has not explained any of the variability of y about its mean value

iv) The intercept coefficient estimate must be zero.
Original LaTeX notation
Suppose that the value of $R^2$ for an estimated regression model is exactly zero. Which of the following are true?

i) All coefficient estimates on the slopes will be zero

ii) The fitted line will be horizontal with respect to all of the explanatory variables

iii) The regression line has not explained any of the variability of y about its mean value

iv) The intercept coefficient estimate must be zero.

category

economics

options

  1. (i), (ii), (iii), and (iv)
  2. (i) and (ii) only
  3. (i) and (iii) only
  4. (iii) and (iv) only
  5. (ii) and (iii) only
  6. (ii) and (iv) only
  7. (ii), (iii), and (iv) only
  8. (i) and (iv) only
  9. (i), (iii), and (iv) only
  10. (i), (ii), and (iii) only

src

ori_mmlu-econometrics

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Source and history

upstream_id / Original problem ID
7314
task_id
8769983c-cb4a-59d3-a76e-be03b6370767
task_key
default--test--7314
task_revision_id
1
config / split
default / test

Official source

initial import