What is the relationship between the attendance at a major league balt game and the total number of runs scored? Attendance figures (in thousands) and the runs scored for 11 randomly selected games are shown below. 54 18 31 10 48 37 12 41 10 9. Attendance 51 35 33 49 3. 14 4. Runs 14 11 11 Round to 2 decimal places. a. Find the correlation coefficient: r b. The null and altemative hypotheses for correlation are: H: O 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. 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. 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 tine 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
31
18
10
49 37
48
41
10
54
33
35
1
51
Attendance
Runs
11
12
9.
14
4.
14
Round to 2 decimal places.
a. Find the correlation coefficient: r m
b. The null and altemative hypotheses for correlation are:
H: 7V O
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.
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.
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.
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.
d. 7.
(Round to two decimal places) (Round to two decimal places)
e. Interpret r:
O 70% of all games will have the average number of runs scored.
O There is a 70% chance that the regression line will be a good predictor for the runs scored
based on the attendance of the game.
O Given any fixed attendance, 70% of all of those games will have the predicted number of runs
scored.
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 70%.
f. The equation of the linear regression line is:
* (Please show your answers to two decimal places)
8. Use the model to predict the runs scored at a game that has an attendance of 29,000 people.
Runs scored=
(Please round your answer to the nearest whole number.)
h. 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.
O As x goes up, y goes up.
O For every additional thousand people who attend a game, there tends to be an average
increase of 0.21 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 11 randomly selected games are shown below. 31 18 10 49 37 48 41 10 54 33 35 1 51 Attendance Runs 11 12 9. 14 4. 14 Round to 2 decimal places. a. Find the correlation coefficient: r m b. The null and altemative hypotheses for correlation are: H: 7V O 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. 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. 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. 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. d. 7. (Round to two decimal places) (Round to two decimal places) e. Interpret r: O 70% of all games will have the average number of runs scored. O There is a 70% chance that the regression line will be a good predictor for the runs scored based on the attendance of the game. O Given any fixed attendance, 70% of all of those games will have the predicted number of runs scored. 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 70%. f. The equation of the linear regression line is: * (Please show your answers to two decimal places) 8. Use the model to predict the runs scored at a game that has an attendance of 29,000 people. Runs scored= (Please round your answer to the nearest whole number.) h. 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. O As x goes up, y goes up. O For every additional thousand people who attend a game, there tends to be an average increase of 0.21 runs scored.
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