Exam 13: Correlation and Linear Regression

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The regression equation is Ŷ = 30 + 2.56X,the sample size is 14,and the standard error of the slope is 0.97. What is the test statistic to test the significance of the slope?

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

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The value of the correlation coefficient (r)________.

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A sales manager for an advertising agency believes 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 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 slope of the linear equation? What is the slope of the linear equation?

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If we reject the null hypothesis,H0: ρ = 0 ,what can we conclude about the population correlation coefficient?

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Which of the following are true assumptions underlying linear regression? (1)For each value of X,there is a group of Y values that is normally distributed. (2)The means of these normal distributions of Y values all lie on the regression line. (3)The standard deviations of these normal distributions are equal.

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

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The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

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A sales manager for an advertising agency believes 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 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 if the p-value for the slope equals zero? What is the decision regarding the hypothesis if the p-value for the slope equals zero?

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

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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. What is the independent variable?

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

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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. What is the dependent variable?

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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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Consider a regression and correlation analysis where r2 = 1. We know that ________.

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

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The regression equation is Ŷ = 30 + 2.56X,the sample size is 14,and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

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Using the following information: Using the following information:     If testing the hypothesis H<sub>0</sub>: ρ = 0,the computed t-statistic is ________. Using the following information:     If testing the hypothesis H<sub>0</sub>: ρ = 0,the computed t-statistic is ________. If testing the hypothesis H0: ρ = 0,the computed t-statistic is ________.

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