Exam 15: Multiple Regression

In order to test for the significance of a regression model involving 4 independent variables and 36 observations,the numerator and denominator degrees of freedom (respectively)for the critical value of F are

The correct relationship between SST,SSR,and SSE is given by

Below you are given a partial computer output relating the price of a company's stock (Y in dollars),the Dow Jones industrial average (X₁),and the stock price of the company's major competitor (X₂ in dollars). a.What has been the sample size for this regression analysis? b.At $\alpha$ = 0.05 level of significance,test to determine if the model is significant.That is,determine if there exists a significant relationship between the independent variables and the dependent variable. c.Determine the multiple coefficient of determination.

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The interpretation of the coefficient of X₁ is that

A regression model involved 5 independent variables and 136 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

The following results were obtained from a multiple regression analysis of supermarket profitability.The dependent variable,Y,is the profit (in thousands of dollars)and the independent variables,X₁ and X₂,are the food sales and nonfood sales (also in thousands of dollars). a.Write the estimated regression equation for the relationship between the variables. b.Compute the coefficient of determination and fully interpret its meaning. c.Carry out a test of whether Y is significantly related to the independent variables.Use a 0.05 level of significance. d.Carry out a test to determine if there is a significant relationship between X₁ and Y.Use a .05 level of significance. e.How many supermarkets were in the sample used here?