Regression

 

Homework Problem


Description:

Suppose that the management of a chain of package delivery stores would like to develop a model for predicting the weekly sales (in thousands of dollars) for individual stores based on the number of customers who made purchases.   A random sample of 20 stores was selected from among all the stores in the chain.   Since we wish to predict Sales with number ofCustomers, that makes Sales the dependent, response, or "Y" variable, and number of Customers is the independent, explanatory, or "X" variable.


Number of cases: 20


Variable Names:


  1. 1.Customers: number of customers per week


  1. 2.Weekly Customers:  Sales (in thousands of dollars) per week

Download the SPSS dataset:  Sales.sav


QUESTIONS


  1. 1.Is there a significant relationship between weekly sales and the number of customers?  If the relationship is significant, report the pearson r coefficient and describe the relationship.


  1. 2.Test a regression equation using weekly sales as the dependent variable and customers and the independent variable.  Report and interpret R squared.

  2. 3.Calculate a regression equation.  Obtain a scatterplot and plot a regression line on the scatterplot.


  1. 4.Predict weekly sales if a store is able to attract 1575 customers in a single week.