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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

Does the regression equation from Problem 20 account for a significant portion of the variance in the Y scores? Use α = .05 to evaluate the F-ratio.

To determine
The regression equation account for a significant portion of the variance in the Y scores.

Explanation

Given info:

The alpha value is given as 0.05, SSy is given as 50, n is given as 6, r2 is given as 0.799 and SSresidual is given as 10.05.

Calculation:

For knowing whether the regression equation account for a significant portion of the variance in the Y scores, need to know correlation is statistically significant or not, firstly makes a hypothesis as there is no correlation.

H0ρ=0Haρ0

Here H0 is for null hypothesis and Ha for alternative hypothesis. For knowing about significance of correlation F-test is used.

F=MSregressionMSresidual

Where MS regression is calculated as:

MSregression=SSregressiondfregression

And MS residual is calculated as:

MSresidual=SSresidualdfresidual

Here SS regression is calculated as:

SSregression=r2SSy

Substitute the given values in SSregression then:

SSregression=r2SSy=0.799×50=39

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