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 47 39 50 48 51 35 34 38 47 47 51 33 Runs 10 11 10 11 9. 12 9. 6.

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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I need help with parts a, b and d
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
47
39
50
48
51
35
34
38
47
47
51
33
Runs
10
6.
11
10
11
9.
6.
6.
9.
12
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: P v
H: ?
= 0
The p-value is:
(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.
OThere 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 a game with higher attendance
will have fewer runs scored than a game with lower attendance.
OThere 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 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.
d. r2 =
(Round to two decimal places) (Round to two decimal places)
e. Interpret r2 :
41% of all games will have the average number of runs scored.
Given any fixed attendance, 41% of all of those games will have the predicted number
of runs scored.
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 47 39 50 48 51 35 34 38 47 47 51 33 Runs 10 6. 11 10 11 9. 6. 6. 9. 12 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: P v H: ? = 0 The p-value is: (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. OThere 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 a game with higher attendance will have fewer runs scored than a game with lower attendance. OThere 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 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. d. r2 = (Round to two decimal places) (Round to two decimal places) e. Interpret r2 : 41% of all games will have the average number of runs scored. Given any fixed attendance, 41% of all of those games will have the predicted number of runs scored.
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