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Statistical Software Section Directions: Please use statistical software to make all the calculations. For parts a) – e) there will be no hand calculations. Please provide all statistical output with this section. 15) The following table gives the total 2004 payroll (on opening day of the season, rounded to the nearest million dollars) and the percentage of games won during the 2004 season by each of the American League teams. Total Payroll |(millions of $) Percentage Winning Team Angels 101 56.8 Orioles 52 48.1 Red Sox 127 60.5 White Sox 65 51.2 Indians 34 49.4 44.4 Tigers Royals 47 48 35.8 Twins 54 56.8 Yankees 184 62.3 Athletics Mariners Devil Rays Rangers Blue Jays 59 56.2 82 38.9 30 43.5 55 54.9 50 41.6 a. Calculate the sample correlation coefficient and interpret. b. Test at the 5% significance level whether there is a positive correlation between payroll and wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. c. Calculate the least-squares regression model, provide a scatterplot that includes the regression line. Provide this statistical output and interpret the slope. d. Test at the 5% significance level whether payroll is a good predictor of wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. e. What is the coefficient of determination r?? Interpret! f. Calculate an approximate 95% confidence interval for B1. There will be some hand-calculations with this problem. Write a sentence that interprets this interval.

Statistical Software Section Directions: Please use statistical software to make all the calculations. For parts a) – e) there will be no hand calculations. Please provide all statistical output with this section. 15) The following table gives the total 2004 payroll (on opening day of the season, rounded to the nearest million dollars) and the percentage of games won during the 2004 season by each of the American League teams. Total Payroll |(millions of $) Percentage Winning Team Angels 101 56.8 Orioles 52 48.1 Red Sox 127 60.5 White Sox 65 51.2 Indians 34 49.4 44.4 Tigers Royals 47 48 35.8 Twins 54 56.8 Yankees 184 62.3 Athletics Mariners Devil Rays Rangers Blue Jays 59 56.2 82 38.9 30 43.5 55 54.9 50 41.6 a. Calculate the sample correlation coefficient and interpret. b. Test at the 5% significance level whether there is a positive correlation between payroll and wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. c. Calculate the least-squares regression model, provide a scatterplot that includes the regression line. Provide this statistical output and interpret the slope. d. Test at the 5% significance level whether payroll is a good predictor of wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. e. What is the coefficient of determination r?? Interpret! f. Calculate an approximate 95% confidence interval for B1. There will be some hand-calculations with this problem. Write a sentence that interprets this interval.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterP: Prologue: Calculator Arithmetic
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Statistical Software Section Directions: Please use statistical software to make all the calculations. For parts a) – e) there will be no hand calculations. Please provide all statistical output with this section. 15) The following table gives the total 2004 payroll (on opening day of the season, rounded to the nearest million dollars) and the percentage of games won during the 2004 season by each of the American League teams. Total Payroll |(millions of $) Percentage Winning Team Angels 101 56.8 Orioles 52 48.1 Red Sox 127 60.5 White Sox 65 51.2 Indians 34 49.4 44.4 Tigers Royals 47 48 35.8 Twins 54 56.8 Yankees 184 62.3 Athletics Mariners Devil Rays Rangers Blue Jays 59 56.2 82 38.9 30 43.5 55 54.9 50 41.6 a. Calculate the sample correlation coefficient and interpret. b. Test at the 5% significance level whether there is a positive correlation between payroll and wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. c. Calculate the least-squares regression model, provide a scatterplot that includes the regression line. Provide this statistical output and interpret the slope. d. Test at the 5% significance level whether payroll is a good predictor of wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. e. What is the coefficient of determination r?? Interpret! f. Calculate an approximate 95% confidence interval for B1. There will be some hand-calculations with this problem. Write a sentence that interprets this interval.
Transcribed Image Text:Statistical Software Section Directions: Please use statistical software to make all the calculations. For parts a) – e) there will be no hand calculations. Please provide all statistical output with this section. 15) The following table gives the total 2004 payroll (on opening day of the season, rounded to the nearest million dollars) and the percentage of games won during the 2004 season by each of the American League teams. Total Payroll |(millions of $) Percentage Winning Team Angels 101 56.8 Orioles 52 48.1 Red Sox 127 60.5 White Sox 65 51.2 Indians 34 49.4 44.4 Tigers Royals 47 48 35.8 Twins 54 56.8 Yankees 184 62.3 Athletics Mariners Devil Rays Rangers Blue Jays 59 56.2 82 38.9 30 43.5 55 54.9 50 41.6 a. Calculate the sample correlation coefficient and interpret. b. Test at the 5% significance level whether there is a positive correlation between payroll and wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. c. Calculate the least-squares regression model, provide a scatterplot that includes the regression line. Provide this statistical output and interpret the slope. d. Test at the 5% significance level whether payroll is a good predictor of wining percentage for the American League teams. Please set-up the null and alternative hypothesis, state the p-value, provide decision rule, and make your conclusion. e. What is the coefficient of determination r?? Interpret! f. Calculate an approximate 95% confidence interval for B1. There will be some hand-calculations with this problem. Write a sentence that interprets this interval.
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