The following table gives the 2014 total payroll (in millions of dollars) and th
ID: 3231846 • Letter: T
Question
The following table gives the 2014 total payroll (in millions of dollars) and the percentage of games won during the 2014 season by each of the National League baseball teams.
Team
Total Payroll
(millions of dollars)
Runs Scored
Arizona Diamondbacks
89
48
Atlanta Braves
95
39
Chicago Cubs
116
59
Cincinnati Reds
115
38
Colorado Rockies
99
41
Los Angeles Dodgers
270
55
Miami Marlins
65
42
Milwaukee Brewers
103
41
New York Mets
99
55
Philadelphia Phillies
133
37
Pittsburgh Pirates
86
60
San Diego Padres
98
44
San Francisco Giants
170
50
St. Louis Cardinals
118
61
Washington Nationals
162
49
The least squares regression line is y|x=43.053+0.040x, where x=total payroll (in millions of dollars) and y= percentage of games won.
Predict the percentage of games won by a team with a total payroll of $85 million.
Round your answer to the nearest integer.
Team
Total Payroll
(millions of dollars)
Runs Scored
Arizona Diamondbacks
89
48
Atlanta Braves
95
39
Chicago Cubs
116
59
Cincinnati Reds
115
38
Colorado Rockies
99
41
Los Angeles Dodgers
270
55
Miami Marlins
65
42
Milwaukee Brewers
103
41
New York Mets
99
55
Philadelphia Phillies
133
37
Pittsburgh Pirates
86
60
San Diego Padres
98
44
San Francisco Giants
170
50
St. Louis Cardinals
118
61
Washington Nationals
162
49
Explanation / Answer
The predicted percentage of games won by a team with a total payroll of $85 million is
y|x=43.053+0.040x=43.053+0.040*85 = 46.453
Hence, required percentage is 46%.
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