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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

a. One set of 20 pairs of scores, X and Y values, produces a correlation of r = 0.70. If SSY = 150, find the standard error of estimate for the regression line.

b. A second set of 20 pairs of X and Y values produces correlation of r = 0.30. If SSY = 150, find the standard error of estimate for the regression line.

a.

To determine

To find: The standard error of estimate for the regression line.

Explanation

Given info:

One set of 20 pairs of scores, X and Y values, produces a correlation of r=0.70 and SSy=150.

Calculation:

The general formula for standard error of estimate is,

SE=SSresidualdf

Degrees of freedom:

df=202=18

For calculating the standard error of estimates for the regression equation need to calculate SSresidual.

The SS residual is also known as unpredicted variability.

The formula for SS residual is,

SSresidual=(1r2)SSy

Where r is given as 0.70, so r2 is calculated as 0.49, it is because r2 is the squared correlation and SSy is given as 150

b.

To determine

To find: The standard error of estimate for the regression line.

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