Question

In: Statistics and Probability

The owner of Gino’s Pizza restaurant chain believes that if a restaurant is located near a...

The owner of Gino’s Pizza restaurant chain believes that if a restaurant is located near a college campus, then there is a linear relationship between sales and the size of the student population. Suppose data are collected from a sample of n = 10 Gino’s Pizza restaurants located near college campuses with the following reported sample statistics:

X= Population (1000s)

Y = Sales ($1000s)

Sample Mean

14

130

Sample Standard Deviation

7.944

41.806

Sample Variance

63.111

1747.778

Sample Covariance

315.556

We want to find the equation of the least-squares regression line predicting quarterly pizza sales (y) from student population (x).

  1. Estimate and interpret the sample correlation between population and sales.
  1. Estimate the slope of the linear regression equation of Sales on Population where Population is the dependent variable.
  1. Estimate the intercept of the linear regression equation of Sales on Population where Population is the dependent variable.
  1. Compute the Total Sum of Squares (SST)

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Expert Solution

orchestra answered 1 year ago
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