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 12 randomly selected games are shown below. Attendance 35 53 22 24 11 Runs 8 2 2 10 12 24 49 11 14 30 14 52 6 8 1 12 2 6 1 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho:?v=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 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. 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 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 a higher attendance will have more runs scored than a game with lower attendance. (Round to two decimal places) (Round to two decimal places) d. ² = 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 61%. O 61% of all games will have the average number of runs scored. Given any fixed attendance, 61% of all of those games will have the predicted number of runs scored. O There is a 61% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. 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 33,000 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 12 randomly selected games are shown below. Attendance 35 53 22 24 11 Runs 8 2 2 10 12 24 49 11 14 30 14 52 6 8 1 12 2 6 1 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho:?v=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 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. 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 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 a higher attendance will have more runs scored than a game with lower attendance. (Round to two decimal places) (Round to two decimal places) d. ² = 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 61%. O 61% of all games will have the average number of runs scored. Given any fixed attendance, 61% of all of those games will have the predicted number of runs scored. O There is a 61% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. 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 33,000 people. Runs scored = (Please round your answer to the nearest whole number.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Subject: statistics
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 12 randomly selected games are shown
below.
Attendance 35 53 22
Runs 10 12
24 11 14 30
2 6
8
8 2
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho:?v=0
H₁: ? #0
The p-value is:
14 52
1
24 49 11
12 2 6 1
² =
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 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.
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 there is a correlation between the
attendance of baseball games and the runs scored. Thus, the regression line is useful.
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.
(Round to two decimal places) (Round to two decimal places)
f. The equation of the linear regression line is:
ý =
d.
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 61%.
O 61% of all games will have the average number of runs scored.
Given any fixed attendance, 61% of all of those games will have the predicted number of runs
scored.
O There is a 61% chance that the regression line will be a good predictor for the runs scored
based on the attendance of the game.
(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 33,000 people.
Runs scored =
(Please round your answer to the nearest whole number.)
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