Exam 15: Multiple Regression

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In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​ In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. ​   = 50 + 13x<sub>1</sub> + 40x<sub>2</sub> + 68x<sub>3</sub> ​ For this model, SSR = 600 and SSE = 400.The computed F statistic for testing the significance of the above model is = 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

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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). ​ The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x<sub>1</sub>) and their gender (x<sub>2</sub>) (0 if male and 1 if female). ​   = 30 + .7x<sub>1</sub> + 3x<sub>2</sub>​ ​ Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is = 30 + .7x1 + 3x2​ ​ Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is

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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). ​ The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x<sub>1</sub>) and their gender (x<sub>2</sub>) (0 if male and 1 if female). ​   = 30 + .7x<sub>1</sub> + 3x<sub>2</sub>​ ​ Also provided are SST = 1200 and SSE = 384.The yearly income (in $) expected of a 24-year-old male individual is = 30 + .7x1 + 3x2​ ​ Also provided are SST = 1200 and SSE = 384.The yearly income (in $) expected of a 24-year-old male individual is

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

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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.

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

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

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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​

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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

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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

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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

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The multiple coefficient of determination is

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In logistic regression,

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In regression analysis, the response variable is the

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

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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.

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A regression model between sales (y in $1000), unit price (x1 in dollars), and television advertisement (x2 in dollars) resulted in the following function: ​ A regression model between sales (y in $1000), unit price (x<sub>1</sub> in dollars), and television advertisement (x<sub>2</sub> in dollars) resulted in the following function: ​   = 7 - 4x<sub>1</sub> + 5x<sub>2</sub> For this model, SSR = 3500, SSE = 1500, and the sample size is 20.The adjusted multiple coefficient of determination for this problem is = 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

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

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

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In a multiple regression model involving 44 observations, the following estimated regression equation was obtained: In a multiple regression model involving 44 observations, the following estimated regression equation was obtained:   = 30 + 18x<sub>1</sub> + 43x<sub>2</sub> + 87x<sub>3</sub> ​ For this model, SSR = 800 and SST = 1400.The multiple correlation coefficient for the above model is = 30 + 18x1 + 43x2 + 87x3 ​ For this model, SSR = 800 and SST = 1400.The multiple correlation coefficient for the above model is

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