Statistics and methodology

1:

Given

X = 0.85y, Y = 0.89x, σz = 3, find σy

A.

3.07

B.

2.03

C.

4.06

D.

1.03

 

Answer : A

Explanation :

Regression coefficient of X and Y or

bxy = r x σxy = 0.85

or 0.87 x 3/σy = 0.85

or 2.61/σy = 85

or 0.85 σy = 2.61

or σy = 2.61/0.85 = 3.07

Hence the answer is (a).

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Option: A

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