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You obtain the following regression statistics for the relationship between defect rate and volume a

Question: You obtain the following regression statistics for the relationship between defect rate and volume at one of your plants. You have a random sample of results from 160 shifts at the plant.

Model	R	R Square	Adjusted R Square	Std. Error of the Estimate
1	.740	.548	.545	4.92

Model		Sum of Squares	df	Mean Square	F	Sig.
1	Regression Residual Total	4647.124 3829.839 8476.963	1 158 159	4647.124 24.239	191.717	.000

Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
Model		B	Std. Error	Beta	t	Sig.
1	(Constant) VOLUME	-97.073 .027	7.819 .002	.740	50.995 13.846	.000 .000

a. What are the null and alternative hypotheses?

b. What is the population of interest? What is the sample?

c. On the basis of the output, what can you conclude about the null hypothesis?

d. Can you reject the null hypothesis that the slope is 0?

e. Can you reject the mull hypothesis that there is no linear relationship between the dependent and independent varaibales?

f. Can you reject the null hypothesis that the population correlation coefficient is 0?

g. What would you predict the defeat rate to be on a day when the volume is 4200 units? What would you predict the average defect rate to be for all days with production volumes of 4200?

h. In what way do the two estimates of the defect rate in question 3g differ? (Calculations not required.)

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