Exam 13: Correlation and Linear Regression

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Using the following regression analysis. Using the following regression analysis.   What is the coefficient of determination? What is the coefficient of determination?

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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 slope of the linear equation? ________________ What is the slope 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 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 sales person makes and the amount of the 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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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 independent variable (X)? _________________ What is the independent variable (X)? _________________

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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 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 sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:   What is the regression equation? What is the regression equation?

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What is the null hypothesis to test the significance of the slope in a regression equation?

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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.   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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The regression equation is used to estimate a value of the dependent variable Y based on a selected value of the independent variable X.

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If we reject the null hypothesis that tests a population correlation coefficient, what can we conclude about the correlation in the population?

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

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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 no relationship exists between study time and score, what are the F-test statistic and the F-critical value using the 0.05 significance level? To test the null hypothesis that no relationship exists between study time and score, what are the F-test statistic and the F-critical value using the 0.05 significance level?

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The standard error of the estimate measures the scatter or dispersion of the observed values around a ___________________.

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If all the plots on a scatter diagram lie on a straight line, what is the standard error of estimate?

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Approximately what percent of the values lie within two standard errors of the regression line? ________

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What is the test statistic to test the significance of the slope in a regression equation?

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What does a coefficient of correlation of 0.70 infer?

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In the regression equation, what does the letter "a" represent?

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

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An economist is interested in predicting the unemployment rate based on gross domestic product. Since the economist is interested in predicting unemployment, the independent variable is gross domestic product.

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What is the range of values that the coefficient of determination can assume? _____ and ______

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