# A survey research group conducts regular studies of households through mail questionnaires and is concerned about the

## Question:

Y = Î²0 + Î²1X1 + Î²2X2 + Îµ

where

Y = percentage of responses received

X1 = number of questions asked

X2 = length of questionnaire in number of words

Part of the SAS computer output from the estimate regression is shown next.

R@Square = 0.637

a. Interpret the estimated regression coefficients.

b. Interpret the coefficient of determination.

c. Test, at the 1% significance level, the null hypothesi that, taken together, the two independent variables do not linearly influence the response rate.

d. Find and interpret a 99% confidence interval for Î²1.

e. Test the null hypothesis

H0: Î²2 = 0

against the alternative

H0: Î²2 and interpret your findings.

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## Step by Step Answer:

**Related Book For**

## Statistics For Business And Economics

**ISBN:** 9780132745659

8th Edition

**Authors:** Paul Newbold, William Carlson, Betty Thorne