Exam 14: Multiple Regression and Model Building

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Below is a partial multiple regression computer output based on a quadratic regression model. Below is a partial multiple regression computer output based on a quadratic regression model.   Test the usefulness of the variable X in the model at α = .05. Test the usefulness of the variable X in the model at α = .05.

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Consider the following partial computer output for a multiple regression model. Consider the following partial computer output for a multiple regression model.   How many observations were taken? How many observations were taken?

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Because multiple regression models consist of multiple independent variables,residual analysis cannot be performed.

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R2 is defined as:

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For the same point estimate of the dependent variable and the same level of significance,the confidence interval is always wider than the corresponding prediction interval.

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An acceptable residual plot exhibits:

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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 In the quadratic regression model   if the term β<sub>2</sub> is ___________ zero,then the parabola opens ____________. if the term β2 is ___________ zero,then the parabola opens ____________.

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The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

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The error term in the regression model describes the effects of all factors other than the independent variables on y (response variable).

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The multiple _________ measures the proportion of the variation in y (response variable)explained by the multiple regression model or the set of independent variables included in the multiple regression equation.

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Below is a portion of a logistic regression table showing the probability of an employee leaving his or her current position: Below is a portion of a logistic regression table showing the probability of an employee leaving his or her current position:   Estimate the probability of an employee (dependent variable)leaving his or her current position (1 = yes)when the current salary is $36,000 and the employee has dependents. Estimate the probability of an employee (dependent variable)leaving his or her current position (1 = yes)when the current salary is $36,000 and the employee has dependents.

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Which one of the following tools is not used to check the normality of residuals assumption for a multiple regression model?

(Multiple Choice)
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Consider the following partial computer output for a multiple regression model. Consider the following partial computer output for a multiple regression model.   What is the explained variation? What is the explained variation?

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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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Consider the following partial computer output for a multiple regression model. Consider the following partial computer output for a multiple regression model.   Test the usefulness of variable x<sub>2</sub> in the model at α = .05.Calculate the t statistic and state your conclusions. Test the usefulness of variable x2 in the model at α = .05.Calculate the t statistic and state your conclusions.

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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 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   Additional information related to this point estimate of 65.12 is given below. Predicted Values for New Observations:   New   Calculate the 95 percent prediction interval for this point estimate. Additional information related to this point estimate of 65.12 is given below. Predicted Values for New Observations: 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   Additional information related to this point estimate of 65.12 is given below. Predicted Values for New Observations:   New   Calculate the 95 percent prediction interval for this point estimate. New 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   Additional information related to this point estimate of 65.12 is given below. Predicted Values for New Observations:   New   Calculate the 95 percent prediction interval for this point estimate. Calculate the 95 percent prediction interval for this point estimate.

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In using a regression model,if a new independent variable is added,the value of R2 (the coefficient of multiple determination)will ___________ decrease.

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The multiple coefficient of determination that relates x3 to all the other independent variables R2(x3)= .8.Calculate the variance inflation factor for x3.Should the analyst be concerned about multicollinearity? Why or why not?

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The effects of different levels of qualitative independent variables are described using ___________ variables.

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