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Exam 15: Multiple Regression

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Question 21

Multiple Choice

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The adjusted multiple coefficient of determination is adjusted for the

A) number of dependent variables.
B) number of independent variables.
C) number of equations.
D) sample size.

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Question 22

Multiple Choice

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In a multiple regression analysis involving 10 independent variables and 81 observations, SST = 100 and SSE = 40.The multiple coefficient of determination is

A) .241.
B) .11.
C) .40.
D) .60.

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Question 23

Multiple Choice

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The equation which has the form of E(y) = = b₀ + b₁x₁ + b₂x₂ + ...+ b_px_p is a(n)

The numerical value of the coefficient of determination.

A regression model between sales (y in $1000) , unit price (x₁ in dollars) , and television advertisement (x₂ in dollars) resulted in the following function: ​ = 7 - 3x₁ + 5x₂​​ ​ For this model, SSR = 3500, SSE = 1500, and the sample size is 18.If we want to test for the significance of the regression model, the critical value of F at the 5% level of significance is​

A multiple regression model has

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

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

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

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female) . ​ = 30 + .7x₁ + 3x₂​ ​ Also provided are SST = 1200 and SSE = 384.If we want to test for the significance of the model, the critical value of F at α = .05 is

In a multiple regression model, the variance of the error term ε is assumed to be

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

In a multiple regression model, the values of the error term ε are assumed to be

Given the following data, determine if the model is significant at 5%.

In order to test for the significance of a regression model involving 10 independent variables and 260 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ Carry out the test to determine if there is a relationship among the variables at the 1% level.The null hypothesis should

The following estimated regression equation was developed relating average yearly income (y in $1000s) of 50 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female) : = 35 + .7x₁ + 3x₂ Also provided are SST = 1400 and SSE = 400.The estimated income (in $) of a 40-year-old male is

A multiple regression model has the estimated form ​ = 7 + 3x₁ + 9x₂ ​ As x₁ increases by 1 unit (holding x₂ constant) , y is expected to

In a multiple regression model involving 60 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃+ 90x₄ ​ For this model, SSR = 800 and SST = 1400.Give degrees of freedom for the F critical value would be

A regression model in which more than one independent variable is used to predict the dependent variable is called