Below you are given a partial computer output based on a sample of 8 observations relating...

Below you are given a partial computer output based on a sample of 8 observations relating an independent variable ( x) and a dependent variable ( y).

	*Coefficient*	*Standard Error*
Intercept	13.251	10.77
x	0.803	0.385

ANOVA
	SS
Regression
Error (Residual)	41.674
Total	71.875

a.	Develop the estimated regression equation.
b.	At α = .05, test for the significance of the slope.
c.	At α = .05, perform an F test.
d.	Determine the coefficient of determination.

Expert Solution

a. Develop the estimated regression equation.

Answer:

The estimated regression equation is:

b. At α = .05, test for the significance of the slope

Answer: Since the p-value for the slope is 0.0821, which is greater than 0.05, therefore, the slope coefficient is not significant at the 0.05 significance level.

c. At α = .05, perform an F test.

Answer: Since the p-value for the F- statistic is 0.0821, which is greater than 0.05, therefore, the regression equation is not significant at the 0.05 significance level.

d. Determine the coefficient of determination.

Answer: The coefficient of determination is:

orchestra answered 3 years ago

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