Chapter 14, Problem 27P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

The regression equation is computed for a set of *n* = 18 pairs of *X* and *Y* values with a correlation of *r* = +80 and *SS _{Y}* = 100.

**a.**Find the standard error of estimate for the regression equation.**b.**How big would the standard error be if the sample size were*n*= 38?

**a.**

To determine

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

Explanation

**Given info:**

The regression equation is computed for a set of
*X* and *Y* values with a correlation of

**Calculation:**

The general formula for standard error of estimate is,

Here SE is for standard error of estimate and *df* is degree of freedom.

*Degrees of freedom:*

For calculating the standard error of estimates for the regression equation need to calculate
_{.}The SS residual also known as unpredicted variability is calculated as:

Where r is given as 0.60, so r^{2} is calculated as 0.64. It is because r^{2} is the squared correlation and

**b.**

To determine

The standard error if the sample size is
n = 38 .

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