Exam 13: Correlation and Linear Regression

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The standard error of estimate measures the accuracy of a prediction.

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If the slope of a regression line is zero, the orientation of the regression line is _________, which indicates a lack of a relationship.

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High school students were interested in a teacher's claim that the longer 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 longer 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.   If a student studies 10 hours, what is the predicted score? If a student studies 10 hours, what is the predicted score?

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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 company collected the following information on a random sample of seven employees. A company wants to study the effect of an employee's length of employment on their number of workdays absent. The company collected the following information on a random sample of seven employees.   What is the dependent variable (Y)? What is the dependent variable (Y)?

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

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Which of the following is true about the standard error of estimate?

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The coefficient of determination is the proportion of total variation in Y that is explained by X.

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If we reject the null hypothesis, H0: If we reject the null hypothesis, H<sub>0</sub>:   , what can we conclude about the population correlation coefficient? , what can we conclude about the population correlation coefficient?

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Approximately ______% of the observations lies within two standard errors of the regression line.

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

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Using the following regression analysis: Using the following regression analysis:   What is the regression mean square? What is the regression mean square?

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A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of 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 salesperson makes and the amount of 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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What is the range of values for the coefficient of determination?

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A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results: A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results:   What is the decision regarding the hypothesis that the slope equals zero? What is the decision regarding the hypothesis that the slope equals zero?

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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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In plotting paired data in a scatter diagram, the dependent variable is scaled on the __________________.

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

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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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A regression analysis yields the following information: A regression analysis yields the following information:   ; n = 10; s<sub>y∙x</sub> = 1.66; ΣX = 32; ΣX<sup>2</sup> = 134;   Compute the 95% prediction interval when X = 4. ; n = 10; sy∙x = 1.66; ΣX = 32; ΣX2 = 134; A regression analysis yields the following information:   ; n = 10; s<sub>y∙x</sub> = 1.66; ΣX = 32; ΣX<sup>2</sup> = 134;   Compute the 95% prediction interval when X = 4. Compute the 95% prediction interval when X = 4.

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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. What will be the number of housing starts if the interest rate is 8.25%?

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