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What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 4 7 8 33 49 52 55 32 9 9 9 12 6 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ?=0 H₁ : ? ✓ #0 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. d. 7²= e. Interpret 7²: O There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. f. The equation of the linear regression line is: ý= (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = (Please round your answer to the nearest whole number.)

What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 4 7 8 33 49 52 55 32 9 9 9 12 6 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ?=0 H₁ : ? ✓ #0 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. d. 7²= e. Interpret 7²: O There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. f. The equation of the linear regression line is: ý= (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = (Please round your answer to the nearest whole number.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 88CR
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p16 need help parts B,F, G please

What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 33 49 52 55 32 8 4 7 9 9 9 12 6 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ?=0 H₁ : ? #0 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) d. 7² = e. Interpret 7²: O There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. O Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. f. The equation of the linear regression line is: ý= (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = (Please round your answer to the nearest whole number.)
Transcribed Image Text:What is the relationship between the attendance at a major league ball game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 8 randomly selected games are shown below. Attendance Runs 43 13 43 33 49 52 55 32 8 4 7 9 9 9 12 6 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ?=0 H₁ : ? #0 The p-value is: Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. There is statistically significant evidence to conclude that a game with a higher attendance will have more runs scored than a game with lower attendance. O There is statistically significant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the attendance of baseball games and the runs scored. Thus, the use of the regression line is not appropriate. (Round to two decimal places) (Round to two decimal places) d. 7² = e. Interpret 7²: O There is a large variation in the runs scored in baseball games, but if you only look at games with a fixed attendance, this variation on average is reduced by 73%. There is a 73% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O 73% of all games will have the average number of runs scored. O Given any fixed attendance, 73% of all of those games will have the predicted number of runs scored. f. The equation of the linear regression line is: ý= (Please show your answers to two decimal places) g. Use the model to predict the runs scored at a game that has an attendance of 37,000 people. Runs scored = (Please round your answer to the nearest whole number.)
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