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Questions › DSE › DSE 2009 › Q7
1 markEconometrics › Linear regression and OLS › The two regression lines and the correlation coefficientModerateabout 3 min

DSE 2009 Question 7: Linear regression and OLS

Given the data ∑XY=350, ∑X=50, ∑Y=60, N=10, V(X)=4, V(Y)=9\sum XY=350,\ \sum X=50,\ \sum Y=60,\ N=10,\ V(X)=4,\ V(Y)=9∑XY=350, ∑X=50, ∑Y=60, N=10, V(X)=4, V(Y)=9, where V(⋅)V(\cdot)V(⋅) is the population variance. The correlation coefficient between XXX and YYY, the regression (slope) coefficient of YYY on XXX, and the regression (slope) coefficient of XXX on YYY are, respectively:

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Given the data Σ XY=350, Σ X=50, Σ Y=60, N=10, V(X)=4, V(Y)=9, where V(·) is the population variance. The correlation coefficient between X and Y, the regression (slope) coefficient of Y on X, and the regression (slope) coefficient of X on Y are, respectively: (A) 35/36, 35/16, 35/81 (B) 5/6, 5/4, 5/9 (C) 5/6, 35/16, 35/81 (D) √(35/36), 35/16, 35/81

Also written as: Given the data sum XY=350, sum X=50, sum Y=60, N=10, V(X)=4, V(Y)=9, where V(*) is the population variance. The correlation coefficient between X and Y, the regression (slope) coefficient of Y on X, and the regression (slope) coefficient of X on Y are, respectively:

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 2009 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.