Exam 13: Correlation and Linear Regression

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The values of a and b in the regression equation are called the regression coefficients.

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One assumption underlying linear regression is that the Y values are statistically dependent. This means that in selecting a sample, the Y values chosen, for a particular X value, depend on the Y values for any other X value.

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What is the purpose of measuring correlation?

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A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic?

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

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

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

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The regression equation is ? = 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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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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