Exam 4: Regression Models

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The condition of an independent variable being correlated to one or more other independent variables is referred to as

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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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Suppose that you believe that a quadratic relationship exists between the independent variable (of time)and the dependent variable Y.Which of the following would represent a valid linear regression model?

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Estimates of the slope, intercept, and error of a regression model are found from sample data.

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A high correlation always implies that one variable is causing a change in the other variable.

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Explain what the correlation coefficient is.

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The coefficient of determination gives the proportion of the variability in the dependent variable that is explained by the regression equation.

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Which of these statements is best?

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The coefficient of determination resulting from a particular regression analysis was 0.85.What was the correlation coefficient, assuming a positive linear relationship?

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