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Exam 15: Multiple Regression

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Question 31

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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.The multiple coefficient of determination is

A) .32.
B) .42.
C) .68.
D) .50.

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Question 32

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The multiple coefficient of determination is

A) MSR/MST.
B) MSR/MSE.
C) SSR/SST.
D) SSE/SSR.

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Question 33

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Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ Carry out the test of significance for the parameter β₁ at the 1% level.The null hypothesis should

In a multiple regression analysis, SSR = 1000 and SSE = 200.The multiple coefficient of determination is

In logistic regression,

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ The t value obtained from the table which is used to test an individual parameter at the 1% level is

A regression analysis involved 17 independent variables and 697 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have​

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ The degrees of freedom for the sum of squares explained by the regression (SSR) are

A regression model involving 4 independent variables and a sample of 15 observations resulted in the following sum of squares. SSR = 165 SSE = 60 ​ The multiple coefficient of determination is

A regression analysis involved 2 independent variables and 27 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have _____ degrees of freedom.

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. ​ The sum of squares due to error (SSE) equals

A regression analysis involved 5 independent variables and 99 observations.The critical value of t for testing the significance of each of the independent variable's coefficients will have _____ degrees of freedom.

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

Determine if the model is significant based upon the data given at α = .01.

In order to test for the significance of a regression model involving 10 independent variables and 100 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained: = 30 + 18x₁ + 43x₂ + 87x₃ ​ For this model, SSR = 800 and SST = 1400.The multiple correlation coefficient for the above model is

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 - 4x₁ + 5x₂ For this model, SSR = 3500, SSE = 1500, and the sample size is 20.The adjusted multiple coefficient of determination for this problem 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.The yearly income (in $) expected of a 24-year-old male individual is

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​ = 50 + 13x₁ + 40x₂ + 68x₃ ​ For this model, SSR = 600 and SSE = 400.The computed F statistic for testing the significance of the above model is

In regression analysis, the response variable is the