Exam 13: Correlation and Linear Regression

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What is the proportion of explained variation called? ________________

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In regression, the difference between the confidence interval and prediction interval formulas is

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What is the direction of a regression line if its slope equals zero, indicating a lack of a relationship? ____________________

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Using the following information: Using the following information:     The regression analysis can be summarized as follows: Using the following information:     The regression analysis can be summarized as follows: The regression analysis can be summarized as follows:

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If the correlation coefficient between two variables equals zero, what can be said of the variables X and Y?

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What type of correlation designates an inverse relationship between two variables? ___________________

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High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results.    To test the null hypothesis that the slope is zero, what are the t-test statistic and the t-critical value using the 0.05 significance level? To test the null hypothesis that the slope is zero, what are the t-test statistic and the t-critical value using the 0.05 significance level?

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What is the range of values for a coefficient of correlation?

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The regression equation is Ŷ = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the test statistic to test the significance of the slope?

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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 Y intercept of the linear equation? ______________ What is the Y intercept of the linear equation? ______________

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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 coefficient of determination? What is the value of the coefficient of determination?

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In the equation Ŷ = a + bX, what is Ŷ?

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An assumption of linear regression states that for each value of X, there is a group of Y values that are statistically __________________ and normally distributed about the regression line.

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What is the general form of the regression equation? _____________

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Given the least squares regression equation, Ŷ = 1,202 + 1,133X, when X = 3, what does Ŷ equal?

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Using the following regression analysis. Using the following regression analysis.   What is the residual sum of squares? What is the residual sum of squares?

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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 coefficient of correlation? What is the value of the coefficient of correlation?

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The coefficient of determination is the square root of the coefficient of correlation.

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When comparing the 95% confidence and prediction intervals for a given regression analysis,

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If the correlation between two variables is close to one, the association is

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