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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 11 randomly selected games are shown below. Attendance 59 20 39 59 60 12 54 Runs 7 7 9 9 12 3 11 30 57 27 14 8 7 97 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? 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 a higher attendance will have more runs scored than a game with lower attendance. 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. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. d. The equation of the linear regression line is: x+ 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. (Please show your answers to two decimal places)

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 11 randomly selected games are shown below. Attendance 59 20 39 59 60 12 54 Runs 7 7 9 9 12 3 11 30 57 27 14 8 7 97 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? 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 a higher attendance will have more runs scored than a game with lower attendance. 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. There is statistically significant evidence to conclude that a game with higher attendance will have fewer runs scored than a game with lower attendance. d. The equation of the linear regression line is: x+ 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. (Please show your answers to two decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 11 randomly selected games are shown below. Attendance 59 20 39 59 Runs 7 7 c. Use a level of significance of of the study. CH 60 12 54 3 11 9 9 12 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: H₂: ? H₁: ? #0 The p-value is: On 30 57 8 7 ON Round to 2 decimal places. 27 14 9 7 (Round to four decimal places) = 0.05 to state the conclusion of the hypothesis test in the context d. The equation of the linear regression line is: ŷ = I+ 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. 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. 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 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. e. Use the model to predict the runs scored at a game that has an attendance of 5 thousand people. Runs scored = (Please round to two decimal places.) (Please show your answers to two decimal places) f. Interpret the slope of the regression line in the context of the question: O The slope has no practical meaning since the total number runs scored in a game must be positive. g. Interpret the y-intercept in the context of the question: For every additional thousand people who attend a game, there tends to be an average increase of 0.07 runs scored. As x goes up, y goes up. The best prediction for a game with 0 attendance is that there will be 5 runs scored. The y-intercept has no practical meaning for this study. If the attendance of a baseball game is 0, then 5 runs will be scored. The average runs scored is predicted to be 5.
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 11 randomly selected games are shown below. Attendance 59 20 39 59 Runs 7 7 c. Use a level of significance of of the study. CH 60 12 54 3 11 9 9 12 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: H₂: ? H₁: ? #0 The p-value is: On 30 57 8 7 ON Round to 2 decimal places. 27 14 9 7 (Round to four decimal places) = 0.05 to state the conclusion of the hypothesis test in the context d. The equation of the linear regression line is: ŷ = I+ 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. 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. 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 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. e. Use the model to predict the runs scored at a game that has an attendance of 5 thousand people. Runs scored = (Please round to two decimal places.) (Please show your answers to two decimal places) f. Interpret the slope of the regression line in the context of the question: O The slope has no practical meaning since the total number runs scored in a game must be positive. g. Interpret the y-intercept in the context of the question: For every additional thousand people who attend a game, there tends to be an average increase of 0.07 runs scored. As x goes up, y goes up. The best prediction for a game with 0 attendance is that there will be 5 runs scored. The y-intercept has no practical meaning for this study. If the attendance of a baseball game is 0, then 5 runs will be scored. The average runs scored is predicted to be 5.
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