Exam 15: Multiple Regression and Model Building

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The multiple coefficient of determination is the _______ divided by the total variation.

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In general,a multiple regression model is considered to be desirable if the value of the C statistic is small and the value of C is less than _____.

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The normal plot is a residual plot that checks the normality assumption.

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Below is a partial multiple regression computer output.

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The range of feasible values for the multiple coefficient of correlation is from ________.

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Consider the following partial computer output for a multiple regression model.

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Use the following correlation matrix and determine the best multiple regression prediction equation that has no significant multicollinearity.

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Consider the following analysis of variance table from a multiple regression model.Test the model for overall usefulness at α = .01 and carefully make a managerial conclusion.

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A member of the state legislature has expressed concern about the differences in the mathematics test scores of high school freshmen across the state.She asks her research assistant to conduct a study to investigate what factors could account for the differences.The research assistant looks at a random sample of school districts across the state and uses the factors of percentage of mathematics teachers in each district with a degree in mathematics,the average age of mathematics teachers,and the average salary of mathematics teachers.

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Calculate the odds ratio for an event when its probability is 0.75.

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A multiple linear regression analysis involving 45 observations resulted in the following least squares prediction equation:

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When using a multiple regression model,we assume that error terms (residuals)are distributed according to a(n)________________ distribution.

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Below is a partial multiple regression computer output based on a quadratic regression model to predict student enrollment at a local university.The dependent variable is the annual enrollment given in thousands of students,the independent variable X is the increase in tuition stated in thousands of dollars per year,and X2 is the square of the tuition increase given in squared thousands of dollars per year.Interpret β0 (the y-intercept)and β1 (the β coefficient for the X variable).Does the parabola open upward or downward? Why?

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Significant _________ may exist when the overall F statistic is significant and the individual t statistics for all independent variables are insignificant.

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Dummy variables take on the values of _________ and are used to model the effects of different levels of qualitative variables.

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In using the multiple regression method,we can model the effects of the different levels of a qualitative independent variable by using a(n)____________.

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It is appropriate to use an interaction variable if the relationship between the dependent variable and one of the independent variables depends on the value of the other independent variable.

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In the quadratic regression model y=β0+β1X1+β2X12+ε\mathrm { y } = \beta _ { 0 } + \beta _ { 1 } X _ { 1 } + \beta _ { 2 } X _ { 1 } ^ { 2 } + \varepsilon \text {, } The ?1 term represents the:

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In a multiple regression mode,if the largest variance inflation factor (VIF)is 21.6,then it can be concluded that there are indications of multicollinearity.

(True/False)
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Consider the following partial computer output for a multiple regression model.

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