Exam 13: Correlation and Linear Regression

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A chart that shows the relationship between a dependent variable and an independent variable is called a ______________________.

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What is the chart called when the paired data (the dependent and independent variables) are plotted?

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A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow.   What is the meaning of a negative slope? _________________________ What is the meaning of a negative slope? _________________________

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A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results: A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results:   What is the value of the standard error of estimate? What is the value of the standard error of estimate?

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Using the following information: Using the following information:     What is the standard error of the estimate? Using the following information:     What is the standard error of the estimate? What is the standard error of the estimate?

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What is the purpose of transformations in regression analysis?

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Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

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If the correlation between sales and advertising is +0.6, what percent of the variation in sales can be attributed to advertising? ______

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What does the coefficient of determination equal if r = 0.89?

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What do the coefficient of correlation and the slope of the regression line always have in common? __________________

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The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

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If r = 0.65, what does the coefficient of determination equal?

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Perfect correlation means that the scatter diagram will appear as a _____________________.

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The regression equation is ? = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?

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The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. For what interest rate will the maximum number of housing starts be achieved? _______

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Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

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Using the following regression analysis. Using the following regression analysis.   What is the F-statistic for the ANOVA? What is the F-statistic for the ANOVA?

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Using the following information: Using the following information:     What is the correlation coefficient? Using the following information:     What is the correlation coefficient? What is the correlation coefficient?

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The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. At what interest rate will there be no permits for housing starts? _________

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Using the following information: Using the following information:     What is the coefficient of determination? Using the following information:     What is the coefficient of determination? What is the coefficient of determination?

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