Exam 15: Multiple Regression

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In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: ​ In a multiple regression model involving 50 observations, the following estimated regression equation was obtained: ​   = 20 + 5x<sub>1</sub> - 4x<sub>2</sub> + 8x<sub>3</sub> + 8x<sub>4</sub> ​ For this model, SSR = 700 and SSE = 100. The computed F statistic for testing the significance of the above model is = 20 + 5x1 - 4x2 + 8x3 + 8x4 ​ For this model, SSR = 700 and SSE = 100. The computed F statistic for testing the significance of the above model is

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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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In regression analysis, an outlier is an observation whose

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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 F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals ​ The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals

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If a categorical variable has k levels, the number of dummy variables required is​

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A regression model involved 20 independent variables and 200 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 a multiple regression analysis involving 10 independent variables and 81 observations, SST = 100 and SSE = 40. The multiple coefficient of determination is

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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. ​   = 45+ 19x<sub>1</sub> + 63x<sub>2</sub> + 80x<sub>3</sub> ​ For this model, SSR = 800 and SSE = 200. The multiple coefficient of determination for the above model is = 45+ 19x1 + 63x2 + 80x3 ​ For this model, SSR = 800 and SSE = 200. The multiple coefficient of determination for the above model is

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In order to test for the significance of a regression model involving 5 independent variables and 36 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 ​ If we want to test for the significance of the model at a .05 level of significance, the critical F value (from the table) is

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

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In a multiple regression analysis, SSR = 1000 and SSE = 200. The F statistic for this model is

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The numerical value of the coefficient of determination.

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

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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 female individual is = 30 + .7x1 + 3x2 ​ Also provided are SST = 1200 and SSE = 384. The yearly income (in $) expected of a 24-year-old female individual is

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Given the following data, find the least squares regression line that models the data. Given the following data, find the least squares regression line that models the data.   ​ ​ ​ ​

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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> ​ What is b<sub>o</sub>? = 30 + 18x1 + 43x2 + 87x3 ​ What is bo?

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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

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In multiple regression analysis,

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