# CHAPTER 12 1. A characteristic of the F distribution is: a) posit...

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CHAPTER 12 1. A characteristic of the F distribution is: a) positively skewed b) Its values cannot be negative c) It is continous d) all of the above 2. When performing an analysis of variance to test the equality of three or more means, the populations must be dependent. a) True b) False 3. Comparing sample variances, what is the value for F critical when the sample size for the numerator is 7 and the denominator is 4? Use a two tailed test and the 0.10 significance level: 4. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 The SS treatment would be 5. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 F calculated would be: 6. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 At a 0.05 level of significance, F critical would be . 7. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 At a 0.05 level of significance, F critical would be . 8. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 From the above data, we are evaluating whether 4 means could be equal or not. a) True b) False 9. For a one way ANOVA you know the following: Sum of Squares Total is 1000. The df treatment = 4 Mean Square Error = 20 The df total = 13 From the above data, at the 0.05 level of significance I would fail to reject the null hypothesis, There is no difference between the means. a) True b) False 10. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block My df error is 11. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block My df total is 12. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block If my SS treatment = 400, SS error = 540 and SS Total = 1000, what is the MSblock? 13. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block If my SS treatment = 400, SS error = 540 and SS Total = 1000, what is the MStreatment? 14. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block If my SS treatment = 400, SS error = 540 and SS Total = 1000. At a 0.05 level of significance, I would reject Ho for the treatment mean (restaurants) if my F calculated > F critical. My F critical is found to be . 15. I'm evaluating five identical burger restaurants over the last 7 weeks of business. I am trying to figure out if there is difference in the mean number of burgers sold among the 5 restaurants when the week is considered. The following information is given but incomplete and there are no replicates. Given: restaurant = treatments, week = block If my SS treatment = 400, SS error = 540 and SS Total = 1000, what is the Fcalc (treatment)? Chapter 13 Correlation and Linear Regression - 1. A scatter diagram is a graph that portrays the correlation between a dependent variable and an independent variable. True False 2. 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. True False Fill in the Blank Questions 3. In plotting paired data in a scatter diagram, the dependent variable is scaled on the . 4. If the coefficient of determination is 0.81, the coefficient of correlation is . 5. Perfect correlation means that the scatter diagram will appear as a . 6. The proportion of explained variation is called the . 7. 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. 8. For an inverse relationship between two variables, the sign of the correlation coefficient is . 9. The standard error of the estimate measures the scatter or dispersion of the observed values around a 10. What is the chart called when the paired data (the dependent and independent variables) are plotted? A. A scatter diagram B. A bar chart C. A pie chart D. A histogram 11. In regression analysis, what is the predictor variable called? A. Independent variable B. Dependent variable C. Correlation variable D. Variable of determination 12. In the regression equation, what does the letter "X" represent? A. The Y-intercept B. The slope of the line C. The independent variable D. The dependent variable 13. What is the test statistic to test the significance of the slope in a regression equation? A. z-statistic B. F-statistic C. t-statistic D. TI-Statistic 14. What are the degrees of freedom used to test the significance of the slope in a simple linear regression equation? A. n - 1 B. n - 2 C. n - 1, n - 2 D. (n -1)(n-2) - - 15. The regression equation is Y = 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? A.z=-4.364 - B.z=+4.364 C.t =-4.364 - D.t=-0.960 16. The regression equation is 8 = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level? A. Z = +2.576 B. t = +3.707 C. t = + -3.355 D.t=+3.707 17. 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: Standard Coefficients Error t-Stat p-value Intercept -12.201 6.560 -1.860 0.100 Number of Contacts 2.195 0.176 12.505 0.000 Page What is the Y-intercept of the linear equation? A. - 12.201 B. 2.195 C. -1.860 - D. 12.505 18. 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: Standard Coefficients Error t-Stat p-value Intercept -12.201 6.560 -1.860 0.100 Number of Contacts 2.195 0.176 12.505 0.000 What is the slope of the linear equation? A. - 12.201 B. 2.195 C. - 1.860 D. 12.505 19. 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: Standard Coefficients Error t-Stat p-value Intercept -12.201 6.560 -1.860 0.100 Number of Contacts 2.195 0.176 12.505 0.000 What is the standard error of the slope? A. 0.176 B. 6.560 C.-12.201 - D. 12.505 20. 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: Standard Coefficients Error t-Stat p-value Intercept -12.201 6.560 -1.860 0.100 Number of Contacts 2.195 0.176 12.505 0.000 What is the decision regarding the hypothesis if the slope equals zero? A. Fail to reject the null hypothesis. B. Fail to reject the alternative hypothesis. C. Reject the null hypothesis. D. Reject the alternative hypothesis.

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