(Solved): Management proposed the following regression model to predict sales at a fast-food outlet. \[ y=\b ...

Management proposed the following regression model to predict sales at a fast-food outlet. \[ y=\beta_{0}+\beta_{1} x_{1}+\beta_{2} x_{2}+\beta_{3} x_{3}+\epsilon \] where \[ \begin{aligned} x_{1} &=\text { number of competitors within one mile } \\ x_{2} &=\text { population within one mile }(1000 \mathrm{~s}) \\ x_{3} &=\left\{\begin{array}{l} 1 \text { if drive-up window present } \\ 0 \text { otherwise } \end{array}\right.\\ y &=\text { sales }(\$ 1000 \mathrm{~s}) \end{aligned} \] The following estimated regression equation was developed after 20 outlets were surveyed. \[ \hat{y}=10.5-4.1 x_{1}+6.5 x_{2}+15.2 x_{3} \] 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 9,000 within one mile, and no drive-up window. Estimate of sales \( =\$ \) c. Predict sales for a store with one competitor, a population of 4,000 within one mile, and a drive-up window. Estimate of sales \( =\$ \)