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Exam 15: Multiple Regression

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Question 21

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A regression model involving 8 independent variables for a sample of 69 periods resulted in the following sum of squares. a.Compute the coefficient of determination. b.At $\alpha$ = 0.05,test to determine whether or not the model is significant.

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a.0.83
b.F = 36.62;p...

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Question 22

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A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called

A) an interaction
B) a constant variable
C) a dummy variable
D) None of these alternatives is correct.

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Question 23

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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.The multiple coefficient of determination is

Exhibit 15-4 a. b. c. d. -Which equation describes the multiple regression equation?

A regression was performed on a sample of 20 observations.Two independent variables were included in the analysis,X and Z.The relationship between X and Z is Z = X².The following estimated equation was obtained. The standard errors for the coefficients are S_b1 = 4.85 and S_b2 = 0.21 For this model,SSR = 520.2 and SSE = 340.6 a.Estimate the value of Y when X = 5. b.Compute the appropriate t ratios. c.Test for the significance of the coefficients at the 5% level.Which variable(s)is (are)significant? d.Compute the coefficient of determination and the adjusted coefficient of determination.Interpret the meaning of the coefficient of determination. e.Test the significance of the relationship among the variables at the 5% level of significance.

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 the unit price indicates that if the unit price is

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.The computed F statistics for testing the significance of the above model is

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.The model

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.The test statistic for testing the significance of the 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 test statistic used to determine if there is a relationship among the variables equals

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.The coefficient of determination for the above model is

The estimate of the multiple regression equation based on the sample data,which has the form of E(y) = Is

In a multiple regression analysis involving 10 independent variables and 81 observations,SST = 120 and SSE = 42.The coefficient of determination is

In a multiple regression model,the error term $\varepsilon$ is assumed to be a random variable with a mean of

The following regression model has been proposed to predict monthly sales at a shoe store. a.Predict sales (in dollars)for the shoe store if the competitor's previous month's sales were $9,000,the store's previous month's sales were $30,000,and no radio advertisements were run. b.Predict sales (in dollars)for the shoe store if the competitor's previous month's sales were $9,000,the store's previous month's sales were $30,000,and 10 radio advertisements were run.

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.The yearly income of a 24-year-old female individual is

A regression model involved 18 independent variables and 200 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have

The multiple coefficient of determination is

The adjusted multiple coefficient of determination is adjusted for

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 multiple coefficient of correlation for this problem is