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Essentials of Statistics for The B...

9th Edition
Frederick J Gravetter + 2 others
ISBN: 9781337098120

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BuyFindarrow_forward

Essentials of Statistics for The B...

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 SSY = 48.

  1. a. Find the standard error of estimate for the regression equation.
  2. 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 n=18 pairs of X and Y values with a correlation of r=0.50 and SSy=48 .

Calculation:

The standard error of estimate is calculated as:

SE=SSresidualdf

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

df=n2=182=16

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

SSresidual=(1r2)SSy

Where r is given as 0.50, so r2 is calculated as 0

a.

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

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