Chapter 14, Problem 22P

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9th Edition

Frederick J Gravetter + 2 others

ISBN: 9781337098120

Textbook Problem

The regression equation is computed for a set of n = 18 pairs of *X* and *Y* values with a correlation of r = +0.50 and *SS _{Y}* = 48.

**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- 66?

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 standard error of estimate is calculated as:

Here SE is for standard error of estimate and *df* is degree of freedom calculated as:

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

Where r is given as 0.50, so r^{2 }is calculated as 0

a.

To determine

The standard error if the sample size is
n = 66
.

Sect-14.1 P-1LCSect-14.1 P-2LCSect-14.2 P-1LCSect-14.2 P-2LCSect-14.2 P-3LCSect-14.3 P-1LCSect-14.3 P-3LCSect-14.4 P-1LCSect-14.4 P-2LCSect-14.5 P-1LC

Sect-14.5 P-2LCSect-14.5 P-3LCSect-14.5 P-4LCSect-14.6 P-1LCSect-14.6 P-2LCSect-14.6 P-3LCSect-14.6 P-4LCCh-14 P-1PCh-14 P-2PCh-14 P-3PCh-14 P-4PCh-14 P-5PCh-14 P-6PCh-14 P-7PCh-14 P-8PCh-14 P-9PCh-14 P-10PCh-14 P-11PCh-14 P-14PCh-14 P-15PCh-14 P-16PCh-14 P-17PCh-14 P-18PCh-14 P-19PCh-14 P-20PCh-14 P-21PCh-14 P-22PCh-14 P-23PCh-14 P-24PCh-14 P-25P

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