Question

Consider the following information about variable X: Mean = 4, standard deviation = 2. Consider the...

Consider the following information about variable X: Mean = 4, standard deviation = 2.

Consider the following information about variable Y: Mean = 5, standard deviation = 3.

If there is a correlation of r = 0.52 between variable X and variable Y, what is the intercept for a simple linear regression equation predicting Y on the basis of X? Please provide your answer as a raw score (not a z score) with a minimum of two decimal places.

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Answer #1

Solution:

Given:

variable X: Mean = 4, standard deviation = 2

, sx = 2

variable Y: Mean =5, standard deviation = 3

, sy = 3

a correlation of r = 0.52 between variable X and variable Y.

We have to find the intercept for a simple linear regression equation predicting Y on the basis of X.

where

Thus

Thus the intercept for a simple linear regression equation predicting Y on the basis of X is: b0 = 1.88

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