Exam 13: Simple Linear Regression

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Assuming a linear relationship between X and Y, if the coefficient of correlation (r)equals - 0)30, Assuming a linear relationship between X and Y, if the coefficient of correlation (r)equals - 0)30,

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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 homoscedasticity 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 homoscedasticity 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 homoscedasticity of error assumption appears to have been violated. -True or False: Referring to Scenario 13-11, the homoscedasticity of error assumption appears to have been violated.

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SCENARIO 13-8 SCENARIO 13-8   - -SCENARIO 13-8   -

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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 -If the Durbin-Watson statistic has a value close to 4, which assumption is violated? Durbin-Watson Statistic 1.59 -If the Durbin-Watson statistic has a value close to 4, which assumption is violated?

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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 number of new clients brought in had a positive impact on the amount of sales generated.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 number of new clients brought in had a positive impact on the amount of sales generated.The p-value of the test is ________.

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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 number of new clients brought in had a positive impact on the amount of sales generated.At a level of significance of 0.01, the decision that should be made implies that the number of new clients brought in _____ (had or did not have)a positive impact on the amount of sales generated. Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the number of new clients brought in had a positive impact on the amount of sales generated.At a level of significance of 0.01, the decision that should be made implies that the number of new clients brought in _____ (had or did not have)a positive impact on the amount of sales generated.

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SCENARIO 13-8 SCENARIO 13-8   -Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any Linear relationship between GPA and ACT is -Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any Linear relationship between GPA and ACT is

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True or False: Regression analysis is used for prediction, while correlation analysis is used to measure the strength of the association between two numerical variables.

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SCENARIO 13-2 SCENARIO 13-2   -Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data? -Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data?

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

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SCENARIO 13-6 The following Excel tables are obtained when "Score received on an exam (measured in percentage points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business and Economics course. SCENARIO 13-6 The following Excel tables are obtained when Score received on an exam (measured in percentage points) (Y)is regressed on percentage attendance (X)for 22 students in a Statistics for Business and Economics course.   -Referring to Scenario 13-6, which of the following statements is true? -Referring to Scenario 13-6, which of the following statements is true?

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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 number of new clients brought in had a positive impact on the amount of sales generated.At a level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected). Simple Linear Regression 13-13 -Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that the number of new clients brought in had a positive impact on the amount of sales generated.At a level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected).

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SCENARIO 13-8 SCENARIO 13-8   -Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any Linear relationship at 1% level of significance between GPA and ACT scores? -Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any Linear relationship at 1% level of significance between GPA and ACT scores?

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SCENARIO 13-6 The following Excel tables are obtained when "Score received on an exam (measured in percentage points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business and Economics course. SCENARIO 13-6 The following Excel tables are obtained when Score received on an exam (measured in percentage points) (Y)is regressed on percentage attendance (X)for 22 students in a Statistics for Business and Economics course.   -Referring to Scenario 13-6, which of the following statements is true? -Referring to Scenario 13-6, which of the following statements is true?

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