Exam 4: Regression Models

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When the independent variables are correlated with each other, ________ is said to exist.

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In any regression model, there is an implicit assumption that a relationship exists between the variables.

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Which of the following is not an assumption of the regression model?

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Which of the following statements provides the best guidance for model building?

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An air conditioning and heating repair firm conducted a study to determine if the average outside temperature could be used to predict the cost of an electric bill for homes during the winter months in Houston, Texas. The resulting regression equation was: Y = 227.19 - 1.45X, where Y = monthly cost, X = average outside air temperature (a) If the temperature averaged 48 degrees during December, what is the forecasted cost of December's electric bill? (b) If the temperature averaged 38 degrees during January, what is the forecasted cost of January's electric bill?

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The problem of nonconstant error variance is detected in residual analysis by which of the following?

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Describe a residual plot.

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For each qualitative variable, he number of dummy variables must equal ________ the number of categories of the qualitative variable.

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In a scatter diagram, the dependent variable is typically plotted on the horizontal axis.

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The problem of a nonlinear relationship is detected in residual analysis by which of the following?

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What is the difference between simple linear regression models and multiple regression models?

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In regression, there is random error that can be predicted.

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An air conditioning and heating repair firm conducted a study to determine if the average outside temperature could be used to predict the cost of an electric bill for a home during the winter months in Richmond, VA. It was determined that a quadratic model could be used and the following prediction equation was established: Y = $1557.76 - 55.05X1 + 0.56X2 where Y = monthly cost, X1 = average temperature, and X2 = average temperature2 (a) If December has an average temperature of 43 degrees what is the forecasted monthly electric bill? (b) If January has an average temperature of 40 degrees what is the forecasted monthly electric bill?

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SST = SSR + ________.

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The null hypothesis in the F-test is that there is a linear relationship between the X and Y variables.

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If computing a causal linear regression model of Y = a + bX and the resultant r2 is very near zero, then one would be able to conclude that

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A large department store has collected the following monthly data on lost sales revenue due to theft and the number of security guard hours on duty: A large department store has collected the following monthly data on lost sales revenue due to theft and the number of security guard hours on duty:   (a) Determine the least squares regression equation. (b) Using the results of part (a), find the estimated lost sales revenues if the total number of security guard hours is 800. (c) Calculate the coefficient of correlation. (d) Calculate the coefficient of determination. (a) Determine the least squares regression equation. (b) Using the results of part (a), find the estimated lost sales revenues if the total number of security guard hours is 800. (c) Calculate the coefficient of correlation. (d) Calculate the coefficient of determination.

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The ________ measures the variability in Y about the regression line.

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The correlation coefficient has values between −1 and +1.

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List four pitfalls of regression.

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