Same chapter3 marksDifficulty: Medium
If r = 0.8, the standard deviation of x is 3 and that of y is 4, find the regression coefficient of y on x.
Linear Regression
3 marksDifficulty: Medium
State two properties of regression coefficients.
Original Khojo Papers practice question — not from a past board paper.
Answer
Both regression coefficients have the same sign, which is also the sign of the correlation coefficient. Their geometric mean is the coefficient of correlation, and since the correlation cannot exceed one in magnitude, they cannot both be greater than one.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The regression coefficients are independent of a change of origin but not of a change of scale.
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