The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the...

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

Multiple Choice z = ±1.96

t = ±2.179

t = ±2.145

t = +2.145

Solutions

Expert Solution

Answer :

t = 2.179

To test the significance of the slope :

Ho: Slope of the regreesion equation is zero

H1: Slope of the regreesion equation is not zero

Two tailed test.

t-test is appropriate and degrees of freedom=n-2;

Given,

= 0.05; n=14; Degrees of freedom=n-2=14-2=12;

For two tailed test:

= 0.05; /2 = 0.05/2=0.025

critical values are :

t/2 = t0.025 ;

For 12 degrees of freedom, t0.025 = 2.179

Critcal values: t =2.179

Answer :

t = 2.179

orchestra answered 11 months ago

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