Exam 13: Simple Linear Regression

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The residuals represent

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The least squares method minimizes which of the following?

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SCENARIO 13-7 SCENARIO 13-7   -Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,  -Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to The S&P 500 index, the appropriate null and alternative hypotheses are, respectively, SCENARIO 13-7   -Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,

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SCENARIO 13-8 SCENARIO 13-8   -Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20? -Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20?

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SCENARIO 13-4 SCENARIO 13-4    Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.The p-value of the test is ________. Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.The p-value of the test is ________.

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SCENARIO 13-3 The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place.She takes a random sample of 4 students.For these 4, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation.These data are presented in the table below. SCENARIO 13-3 The director of cooperative education at a state college wants to examine the effect of cooperative education job experience on marketability in the work place.She takes a random sample of 4 students.For these 4, she finds out how many times each had a cooperative education job and how many job offers they received upon graduation.These data are presented in the table below.   -Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis that the population slope was equal to 0.For a test with a level of significance of 0.05, the null hypothesis should be rejected if the value of the test statistic is ________. -Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis that the population slope was equal to 0.For a test with a level of significance of 0.05, the null hypothesis should be rejected if the value of the test statistic is ________.

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SCENARIO 13-1 SCENARIO 13-1   -Referring to Scenario 13-1, interpret the estimate of   , the Y-intercept of the line. -Referring to Scenario 13-1, interpret the estimate of SCENARIO 13-1   -Referring to Scenario 13-1, interpret the estimate of   , the Y-intercept of the line. , the Y-intercept of the line.

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SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed: SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -True or False: Referring to Scenario 13-11, the normality of error assumption appears to have been violated. SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -True or False: Referring to Scenario 13-11, the normality of error assumption appears to have been violated. Simple Linear Regression 13-43 SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -True or False: Referring to Scenario 13-11, the normality of error assumption appears to have been violated. -True or False: Referring to Scenario 13-11, the normality of error assumption appears to have been violated.

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SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed: SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -Referring to Scenario 13-11, which of the following is the correct interpretation for the slope Coefficient? SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -Referring to Scenario 13-11, which of the following is the correct interpretation for the slope Coefficient? Simple Linear Regression 13-43 SCENARIO 13-11 A computer software developer would like to use the number of downloads (in thousands)for the trial version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make on the full version of the new shareware.Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different sharewares that he has developed:      Simple Linear Regression 13-43   -Referring to Scenario 13-11, which of the following is the correct interpretation for the slope Coefficient? -Referring to Scenario 13-11, which of the following is the correct interpretation for the slope Coefficient?

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SCENARIO 13-7 SCENARIO 13-7   -Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to The S&P 500 index, the measured value of the test statistic is -Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to The S&P 500 index, the measured value of the test statistic is

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True or False: The Durbin-Watson D statistic is used to check the assumption of normality.

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In a simple linear regression problem, r and b1

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SCENARIO 13-9 SCENARIO 13-9   -Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean SALARY depends linearly on HOURS is -Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean SALARY depends linearly on HOURS is

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If the correlation coefficient (r)= 1.00, then

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SCENARIO 13-4 SCENARIO 13-4    Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.For a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the test statistic is ________. Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.For a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the test statistic is ________.

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SCENARIO 13-5 The managing partner of an advertising agency believes that his company's sales are related to the industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with the following results: SCENARIO 13-5 The managing partner of an advertising agency believes that his company's sales are related to the industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with the following results:   Durbin-Watson Statistic 1.59 -Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson Statistic.Using a level of significance of 0.05, the decision he should make is: Durbin-Watson Statistic 1.59 -Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson Statistic.Using a level of significance of 0.05, the decision he should make is:

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If the plot of the residuals is fan shaped, which assumption is violated?

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SCENARIO 13-2 SCENARIO 13-2   - -SCENARIO 13-2   -

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SCENARIO 13-5 The managing partner of an advertising agency believes that his company's sales are related to the industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with the following results: SCENARIO 13-5 The managing partner of an advertising agency believes that his company's sales are related to the industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with the following results:   Durbin-Watson Statistic 1.59 - Durbin-Watson Statistic 1.59 -SCENARIO 13-5 The managing partner of an advertising agency believes that his company's sales are related to the industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with the following results:   Durbin-Watson Statistic 1.59 -

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