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The Following Regression Model Has Been Proposed to Predict Sales

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The following regression model has been proposed to predict sales at a fast food outlet. The following regression model has been proposed to predict sales at a fast food outlet.   = 18 - 2x<sub>1</sub> + 7x<sub>2</sub> + 15x<sub>3</sub> where x<sub>1</sub> = the number of competitors within 1 mile x<sub>2</sub> = the population within 1 mile (in 1,000s) x<sub>3</sub> = 1 if drive-up windows are present, 0 otherwise   = sales (in $1,000s)  a.What is the interpretation of 15 (the coefficient of x<sub>3</sub>) in the regression equation? b.Predict sales for a store with 2 competitors, a population of 10,000 within one mile, and one drive-up window (give the answer in dollars). c.Predict sales for the store with 2 competitors, a population of 10,000 within one mile, and no drive-up window (give the answer in dollars). = 18 - 2x1 + 7x2 + 15x3
where
x1 = the number of competitors within 1 mile
x2 = the population within 1 mile (in 1,000s)
x3 = 1 if drive-up windows are present, 0 otherwise The following regression model has been proposed to predict sales at a fast food outlet.   = 18 - 2x<sub>1</sub> + 7x<sub>2</sub> + 15x<sub>3</sub> where x<sub>1</sub> = the number of competitors within 1 mile x<sub>2</sub> = the population within 1 mile (in 1,000s) x<sub>3</sub> = 1 if drive-up windows are present, 0 otherwise   = sales (in $1,000s)  a.What is the interpretation of 15 (the coefficient of x<sub>3</sub>) in the regression equation? b.Predict sales for a store with 2 competitors, a population of 10,000 within one mile, and one drive-up window (give the answer in dollars). c.Predict sales for the store with 2 competitors, a population of 10,000 within one mile, and no drive-up window (give the answer in dollars). = sales (in $1,000s)
a.What is the interpretation of 15 (the coefficient of x3) in the regression equation?
b.Predict sales for a store with 2 competitors, a population of 10,000 within one mile, and one drive-up window (give the answer in dollars).
c.Predict sales for the store with 2 competitors, a population of 10,000 within one mile, and no drive-up window (give the answer in dollars).

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Definitions:

Median

The middle value in a data set when the values are arranged in ascending or descending order.

Skewed

Refers to a distribution that is asymmetrical, with data points tending to be more spread out on one side of the mean than the other.

Travel Time

The duration taken to move from one location to another, often considered in planning and analysis of transportation systems.

Bin Width

The size of intervals in a histogram or frequency distribution, affecting data visualization and analysis.

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