← A baseball analytics specialist wants to determine which variables are important in predicting a team's wins in a given season. He has collected data related to wins, earned run average (ERA), and runs scored per game for a recent season. Develop a model to predict the number of wins based on ERA and runs scored per game. Use the data for 29 teams in the accompanying table to complete parts (a) through (m). Click the icon to view the data. annne a. State the multiple regression equation. Let X, be the ERA and let X₂ be the number of runs scored per game. -+(x₁+x₂1 (Round to one decimal place as needed.) b. Interpret the meaning of the slopes in this equation. The value of b₁, the slope for X₁. indicates that, for a given increase in the predicted mean by a value equal to the absolute value of b₁. The value of b₂, the slope for X2,. indicates that, for a given increase in the predicted mean for each 1-unit is estimated to for each 1-unit is estimated to by a value equal to the absolute value of b₂. c. Predict the mean number of wins for a team that has an ERA of 3.50 and has scored 4.5 runs per game.
← A baseball analytics specialist wants to determine which variables are important in predicting a team's wins in a given season. He has collected data related to wins, earned run average (ERA), and runs scored per game for a recent season. Develop a model to predict the number of wins based on ERA and runs scored per game. Use the data for 29 teams in the accompanying table to complete parts (a) through (m). Click the icon to view the data. annne a. State the multiple regression equation. Let X, be the ERA and let X₂ be the number of runs scored per game. -+(x₁+x₂1 (Round to one decimal place as needed.) b. Interpret the meaning of the slopes in this equation. The value of b₁, the slope for X₁. indicates that, for a given increase in the predicted mean by a value equal to the absolute value of b₁. The value of b₂, the slope for X2,. indicates that, for a given increase in the predicted mean for each 1-unit is estimated to for each 1-unit is estimated to by a value equal to the absolute value of b₂. c. Predict the mean number of wins for a team that has an ERA of 3.50 and has scored 4.5 runs per game.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
J 2
Transcribed Image Text:in a
for
1
2 Baltimore
3
Team
Boston
4 Chicago White Sox
5 Cleveland
6 Detroit
7 Houston
8 Kansas City
9 Los Angeles Angels
10 Minnesota
11 New York Yankees
12 Oakland
13 Seattle
14 Tampa Bay
15 Texas
16 Toronto
17 Arizona
18 Atlanta
19 Chicago Cubs
20 Cincinnati
21 Colorado
22 Los Angeles Dodgers
23 Miami
24 New York Mets
25 Philadelphia
26 Pittsburgh
27 San Diego
28 San Francisco
29 St. Louis
30 Washington
31
22
B
Wins
89
93
78
94
86
84
81
74
59
84
69
86
68
95
89
69
68
103
68
|
75
91
79
88882
87
71
78
68
87
86
95
C
D
Earned Run Average Runs Scored per Game
4.22
4
4.1
3.84
4.24
4.06
4.21
4.28
5.08
4.16
4.51
4
4.2
4.37
3.78
5.09
4.51
elp
3.15
4.91
4.91
3.7
4.05
3.58
4.63
4.21
4.33
3.65
4.08
3.51
4.59
5.42
4.23
4.8
4.63
4.47
4.17
4.43
4.46
4.2
4.03
4.74
4.15
4.72
E
4.69
4.64
4.01
4.99
4.42
5.22
4.48
4.04
4.14
3.77
4.5
4.23
4.41
4.81
4.71
Transcribed Image Text:K
A baseball analytics specialist wants to determine which variables are important in predicting a team's wins in a
given season. He has collected data related to wins, earned run average (ERA), and runs scored per game for
a recent season. Develop a model to predict the number of wins based on ERA and runs scored per game.
Use the data for 29 teams in the accompanying table to complete parts (a) through (m).
Click the icon to view the data.
a. State the multiple regression equation. Let X, be the ERA and let X₂ be the number of runs scored per
game.
=+x₁+x₂1
(Round to one decimal place as needed.).
b. Interpret the meaning of the slopes in this equation.
The value of b₁, the slope for X₁,. indicates that, for a given
increase in
the predicted mean
by a value equal to the absolute value of b₁
The value of b₂, the slope for X2, indicates that, for a given
increase in
the predicted mean
for each 1-unit
is estimated to
for each 1-unit
is estimated to
by a value equal to the absolute value of b₂.
c. Predict the mean number of wins for a team that has an ERA of 3.50 and has scored 4.5 runs per game.
- (Round to the nearest whole number as needed.)
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