Exam 15: Multiple Regression
Exam 1: Data and Statistics84 Questions
Exam 2: Descriptive Statistics: Tabular and Graphical Displays67 Questions
Exam 3: Descriptive Statistics: Numerical Measures118 Questions
Exam 4: Introduction to Probability94 Questions
Exam 5: Discrete Probability Distributions84 Questions
Exam 6: Continuous Probability Distributions121 Questions
Exam 7: Sampling and Sampling Distributions116 Questions
Exam 8: Interval Estimation90 Questions
Exam 9: Hypothesis Tests95 Questions
Exam 10: Inference About Means and Proportions With Two Populations63 Questions
Exam 11: Inferences About Population Variances66 Questions
Exam 12: Comparing Multiple Proportions, Tests of Independence and Goodness of Fit59 Questions
Exam 13: Experimental Design and Analysis of Variance76 Questions
Exam 14: Simple Linear Regression132 Questions
Exam 15: Multiple Regression103 Questions
Exam 16: Regression Analysis: Model Building41 Questions
Exam 17: Time Series Analysis and Forecasting51 Questions
Exam 18: Nonparametric Methods58 Questions
Exam 19: Decision Analysis48 Questions
Exam 20: Index Numbers39 Questions
Exam 21: Statistical Methods for Quality Control60 Questions
Exam 22: Sample Survey48 Questions
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In a multiple regression model involving 50 observations, the following estimated regression equation was obtained:
= 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

(Multiple Choice)
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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:
= 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

(Multiple Choice)
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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

(Multiple Choice)
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If a categorical variable has k levels, the number of dummy variables required is
(Multiple Choice)
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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
(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
(Multiple Choice)
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In a multiple regression model involving 44 observations, the following estimated regression equation was obtained.
= 45+ 19x1 + 63x2 + 80x3
For this model, SSR = 800 and SSE = 200. The multiple coefficient of determination for the above model is

(Multiple Choice)
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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
(Multiple Choice)
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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
(Multiple Choice)
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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
(Multiple Choice)
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A measure of goodness of fit for the estimated regression equation is the
(Multiple Choice)
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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 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.

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In a multiple regression model involving 44 observations, the following estimated regression equation was obtained:
= 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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