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Questions › DSE › DSE 2008 › Q23
2 marksEconometrics › Linear regression and OLS › The two regression lines and the correlation coefficientModerateabout 3 min

DSE 2008 Question 23: Linear regression and OLS

For variables X and Y we have the data ∑XY=350, ∑X=50, ∑Y=60, X‾=5, σX2=4, σY2=9\sum XY=350,\ \sum X=50,\ \sum Y=60,\ \overline{X}=5,\ \sigma_{X}^{2}=4,\ \sigma_{Y}^{2}=9∑XY=350, ∑X=50, ∑Y=60, X=5, σX2​=4, σY2​=9. Which of the following holds?

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For variables X and Y we have the data Σ XY=350, Σ X=50, Σ Y=60, X̅=5, σ_X²=4, σ_Y²=9. Which of the following holds? (A) A one unit change in X is associated with a 1.25 unit change in Y, and a one unit change in Y is associated with a 0.6 unit change in X. (B) A one unit change in X is associated with a 0.6 unit change in Y, and a one unit change in Y is associated with a 1.25 unit change in X. (C) The covariance between X and Y exceeds Y̅. (D) The regression of Y on X passes through the origin.

Also written as: For variables X and Y we have the data sum XY=350, sum X=50, sum Y=60, X_bar=5, sigma_X^2=4, sigma_Y^2=9. Which of the following holds?

Linear regression and OLS has come up 74 times in 7 exams since 2008.

What this question tests

This question is on The two regression lines and the correlation coefficient, part of Linear regression and OLS in Econometrics.

How the regression of y on x and of x on y relate to each other and to correlation.

TestStop has 19 past-paper questions on this subtopic.

Practise Linear regression and OLSMore on The two regression lines and the correlation coefficient

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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.