   Chapter 15, Problem 2RE Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

For the following data: X Y 1 2 4 7 3 5 2 1 5 14 3 7 a.  Find the regression equation for predicting Y from X. b. Does the regression equation account for a significant portion of the variance in the Y scores? Use α = .05 to evaluate the F-ratio.

To determine

To Find: The regression equation for predicting Y using X.

Explanation

Given info:

The data represents the numerical values for two variables X and Y.

Calculations:

The regression equation for predicting Y using X is obtained as follows:

 X Y (X−MX)2 (Y−MY)2 (X−MX)(Y−MY) 1 2 4 16 8 4 7 1 1 1 3 5 0 1 0 2 1 1 25 5 5 14 4 64 16 3 7 0 1 0 ∑X=18 ∑Y=36 ∑(X−MX)2=10 ∑(Y−MY)2=108 ∑(X−MX)(Y−MY)=30

Mean:

The general formula for mean of X is,

MX=Xn=186=3

Thus, the mean of the variable X  is 3.

The general formula for mean of Y is,

MY=Yn=366=6

Thus, the mean of the variable Y is 6

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