Exam 15: Multiple Regression

The following results were obtained from a multiple regression analysis. a.How many independent variables were involved in this model? b.How many observations were involved? c.Determine the F statistic.

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.We want to test whether the parameter $\beta$ ₁ is significant.The test statistic equals

A regression analysis involved 8 independent variables and 99 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

Sherri Cola Company has developed a regression model relating its sales (Y in $10,000s)with four independent variables.The four independent variables are price per unit (PRICE,in dollars),competitor's price (COMPRICE,in dollars),advertising (ADV,in $1,000s)and type of container used (CONTAIN;1 = Cans and 0 = Bottles).Part of the regression results is shown below.(Assume n = 25) a.If the manufacturer uses can containers,his price is $1.25,advertising $200,000,and his competitor's price is $1.50,what is your estimate of his sales? Give your answer in dollars. b.Test to see if there is a significant relationship between sales and unit price.Let $\alpha$ = 0.05. c.Test to see if there is a significant relationship between sales and advertising.Let $\alpha$ = 0.05. d.Is the type of container a significant variable? Let $\alpha$ = 0.05. e.Test to see if there is a significant relationship between sales and competitor's price.Let $\alpha$ = 0.05.

In a multiple regression analysis involving 5 independent variables and 30 observations,SSR = 360 and SSE = 40.The coefficient of determination is

In regression analysis,the response variable is the

Exhibit 15-2 A regression model between sales (Y in $1,000),unit price (X₁ in dollars)and television advertisement (X₂ in dollars)resulted in the following function: For this model SSR = 3500,SSE = 1500,and the sample size is 18. -Refer to Exhibit 15-2.The coefficient of X₂ indicates that if television advertising is increased by $1 (holding the unit price constant),sales are expected to

In a multiple regression model,the error term $\varepsilon$ is assumed to

Exhibit 15-2 PTS: 1 TOP: Multiple Regression NARRBEGIN: Exhibit 15-3 Exhibit 15-3 In a regression model involving 30 observations,the following estimated regression equation was obtained: For this model SSR = 700 and SSE = 100. -Refer to Exhibit 15-3.The computed F statistic for testing the significance of the above model is

For a multiple regression model,SST = 200 and SSE = 50.The multiple coefficient of determination is

In order to test for the significance of a regression model involving 8 independent variables and 121 observations,the numerator and denominator degrees of freedom (respectively)for the critical value of F are

Exhibit 15-1 In a regression model involving 44 observations,the following estimated regression equation was obtained. For this model SSR = 600 and SSE = 400. -Refer to Exhibit 15-1.MSR for this model is

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.The degrees of freedom for the sum of squares explained by the regression (SSR)are

Exhibit 15-8 The following estimated regression model was developed relating yearly income (Y in $1,000s)of 30 individuals with their age (X₁)and their gender (X₂)(0 if male and 1 if female). Also provided are SST = 1,200 and SSE = 384. -Refer to Exhibit 15-8.If we want to test for the significance of the model,the critical value of F at 95% confidence is

In multiple regression analysis,the correlation among the independent variables is termed

Exhibit 15-5 Below you are given a partial Minitab output based on a sample of 25 observations. -Refer to Exhibit 15-5.Carry out the test of significance for the parameter $\beta$ ₁at the 5% level.The null hypothesis should be

For a multiple regression model,SSR = 600 and SSE = 200.The multiple coefficient of determination is

In order to test for the significance of a regression model involving 3 independent variables and 47 observations,the numerator and denominator degrees of freedom (respectively)for the critical value of F are

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. -Refer to Exhibit 15-6.Carry out the test of significance for the parameter $\beta$ ₁ at the 1% level.The null hypothesis should be

A measure of goodness of fit for the estimated regression equation is the