CA Foundation P3 · Chapter 17 · Question 3 of 9
The two regression coefficients are byx = 0.8 and bxy = 0.45. The coefficient of correlation is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 0.6
Explanation
r = ±√(byx x bxy) = √(0.8 x 0.45) = √0.36 = 0.6, positive because both coefficients are positive. 0.36 is r² (coefficient of determination), not r.
More Correlation and Regression MCQs
- Q5The two regression lines are 3x + 2y = 26 and 6x + y = 31. The means of x and y are:
- Q6The two regression lines are 3x + 2y = 26 and 6x + y = 31. The coefficient of correlation between x and y is:
- Q7The coefficient of correlation from 25 pairs of observations is 0.8. Taking PE = 0.6745 x (1 − r²)/√n, the probable error of r is (to four…
- Q8Given x̄ = 20, ȳ = 45 and the regression coefficient of y on x, byx = 1.2, the estimated value of y when x = 25 is:
- Q9When the coefficient of correlation r = 0, the two lines of regression are: