A Daseball analyst would like to study various team statistics for a recent season to determine which variables might be useful in predicting the number of wins achieved by teams during the season. He begins by using a team's earned run average (ERA), a measure of pitching performance, to predict the number of wins. He collects the team ERA and team wins for each of the 30 teams in a two-league organization, with the accompanying results. Complete parts (a) through (I) below. a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients bo and b,. + (Round to three decimal places as needed.) b. Interpret the meaning of the Y-intercept, bo, and the slope, b,, in this problem. Interpret the Y-intercept, if appropriate. Choose the correct answer below. O A. It is not appropriate to interpret the Y-intercept because it is outside the range of observed team ERAS. O B. It is not appropriate to interpret the Y-intercept because it is outside the range of observed wins. OC. It is not appropriate to interpret the Y-intercept because a team cannot have a team ERA of 0. D. It is not appropriate to interpret the Y-intercept because a team cannot have 0 wins. OE. The Y-intercept indicates the predicted number of wins for a team ERA of 0. OF. The Y-intercept indicates the predicted team ERA for a team with 0 wins. Interpret the slope, if appropriate. Choose the correct answer below. O A. The slope indicates that for each additional win, the predicted team ERA is estimated to change by a value equal to b1. O B. It is not appropriate to interpret the slope because it is outside the range of observed wins. O C. It is not appropriate to interpret the slope because it is outside the range of observed team ERAS. O D. The slope indicates that for each increase of 1 unit in ERA, the predicted number of wins is estimated to change b
A Daseball analyst would like to study various team statistics for a recent season to determine which variables might be useful in predicting the number of wins achieved by teams during the season. He begins by using a team's earned run average (ERA), a measure of pitching performance, to predict the number of wins. He collects the team ERA and team wins for each of the 30 teams in a two-league organization, with the accompanying results. Complete parts (a) through (I) below. a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients bo and b,. + (Round to three decimal places as needed.) b. Interpret the meaning of the Y-intercept, bo, and the slope, b,, in this problem. Interpret the Y-intercept, if appropriate. Choose the correct answer below. O A. It is not appropriate to interpret the Y-intercept because it is outside the range of observed team ERAS. O B. It is not appropriate to interpret the Y-intercept because it is outside the range of observed wins. OC. It is not appropriate to interpret the Y-intercept because a team cannot have a team ERA of 0. D. It is not appropriate to interpret the Y-intercept because a team cannot have 0 wins. OE. The Y-intercept indicates the predicted number of wins for a team ERA of 0. OF. The Y-intercept indicates the predicted team ERA for a team with 0 wins. Interpret the slope, if appropriate. Choose the correct answer below. O A. The slope indicates that for each additional win, the predicted team ERA is estimated to change by a value equal to b1. O B. It is not appropriate to interpret the slope because it is outside the range of observed wins. O C. It is not appropriate to interpret the slope because it is outside the range of observed team ERAS. O D. The slope indicates that for each increase of 1 unit in ERA, the predicted number of wins is estimated to change b
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Transcribed Image Text:C
1
Team
E.R.A.
Wins
2
Team 1
3.65
99
71
3 Team 2
4 Team 3
4.45
4.72
73
5 Team 4
4.01
85
6.
Team 5
4.37
89
7
Team 6
4.47
71
8.
Team 7
3.84
88
9 Team 8
10 Team 9
3.92
98
4.81
70
11 Team 10
4.09
85
12 Team 11
13 Team 12
14 Team 13
15 Team 14
16 Team 15
3.54
87
3.43
86
3.87
78
4.77
66
4.22
83
17 Team 16
4.57
65
18 Team 17
3.68
80
19 Team 18
4.36
73
20 Team 19
3.78
77
21 Team 20
5.05
66
22 Team 21
3.83
94
23 Team 22
24 Team 23
25 Team 24
26 Team 25
27 Team 26
28 Team 27
29 Team 28
4.15
77
4.04
82
3.82
78
4.24
73
3.89
87
3.55
78
3.77
87
30 Team 29
3.73
91
31 Team 30
3.43
96
32
33
34
35
Transcribed Image Text:A baseball analyst would like to study various team statistics for a recent season to determine which variables might be
useful in predicting the number of wins achieved by teams during the season. He begins by using a team's earned run
average (ERA), a measure of pitching performance, to predict the number of wins. He collects the team ERA and team wins
for each of the 30 teams in a two-league organization, with the accompanying results. Complete parts (a) through (I) below.
a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients bo and b,.
(Round to three decimal places as needed.)
b. Interpret the meaning of the Y-intercept, bo, and the slope, b,, in this problem.
Interpret the Y-intercept, if appropriate. Choose the correct answer below.
O A. It is not appropriate to interpret the Y-intercept because it is outside the range of observed team ERAS.
O B. It is not appropriate to interpret the Y-intercept because it is outside the range of observed wins.
OC. It is not appropriate to interpret the Y-intercept because a team cannot have a team ERA of 0.
O D. It is not appropriate to interpret the Y-intercept because a team cannot have 0 wins.
O E. The Y-intercept indicates the predicted number of wins for a team ERA of 0.
OF. The Y-intercept indicates the predicted team ERA for a team with 0 wins.
Interpret the slope, if appropriate. Choose the correct answer below.
O A. The slope indicates that for each additional win, the predicted team ERA is estimated to change by a value equal to
b1.
B. It is not appropriate to interpret the slope because it is outside the range of observed wins.
C. It is not appropriate to interpret the slope because it is outside the range of observed team ERAS.
D. The slope indicates that for each increase of 1 unit in ERA, the predicted number of wins is estimated to change by
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