Management proposed the following regression model to predict sales at a fast-food outlet. y=β0+β1X1+β2X2+β3X3+εy=β0+β1X1+β2X2+β3X3+ε where X1X1 =number of competitors within one mile X2X2 = population within one mile (1000s) X3={1ifdrive−upwindowpresent0OtherwiseX3={1ifdrive−upwindowpresent0Otherwise YY=Sales($1000s) The following estimated regression equation was developed after 20 outlets were surveyed. y=10.1−4.9x1+6.6x2+15.9x3y=10.1−4.9x1+6.6x2+15.9x3 a. What is the expected amount of sales attributable to the drive-up window? b. Predict sales for a store with two competitors, a population of 8,000 within one mile, and no drive-up window.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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Management proposed the following regression model to predict sales at a fast-food outlet.

y=β0+β1X1+β2X2+β3X3+εy=β0+β1X1+β2X2+β3X3+ε

where

X1X1 =number of competitors within one mile

X2X2 = population within one mile (1000s)

X3={1ifdrive−upwindowpresent0OtherwiseX3={1ifdrive−upwindowpresent0Otherwise

YY=Sales($1000s)

The following estimated regression equation was developed after 20 outlets were surveyed.

y=10.1−4.9x1+6.6x2+15.9x3y=10.1−4.9x1+6.6x2+15.9x3

a. What is the expected amount of sales attributable to the drive-up window?

b. Predict sales for a store with two competitors, a population of 8,000 within one mile, and no drive-up window.

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