We wish to predict the salary for baseball players (yy) using the variables RBI (x1x1) and HR (x2x2), then we use a regression equation of the form ˆy=b0+b1x1+b2x2y^=b0+b1x1+b2x2.  HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error. RBI - Run batted in - number of runners who scored due to a batters's action, except when batter grounded into double play or reached on an error Salary is in millions of dollars. RBI's HR's Salary (in millions) 108 38 28.050 86 31 27.500 59 25 25.000 119 31 25.000 103 39 24.050 44 15 23.125 49 11 23.000 111 30 22.750 87 31 22.125 90 18 21.857 49 7 21.667 70 21 21.571 108 35 21.500 56 9 21.143 84 38 21.119 80 14 20.802 17 7 20.000 79 24 20.000 91 31 20.000 97 29 20.000 57 13 18.500 44 8 18.000 104 32 18.000 86 27 18.000 100 25 17.454 62 20 17.000 58 20 17.000 100 29 16.083 127 38 16.000 83 29 16.000 59 30 16.000 54 15 15.800 66 17 15.800 68 22 6.750 84 12 6.000 48 12 5.950 38 10 12.000 55 13 11.000 76 18 10.500 90 27 5.100 53 11 5.000 24 7 4.550 47 15 4.150 34 14 3.900 31 12 3.667 72 32 3.300 52 20 2.750 64 20 2.600

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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We wish to predict the salary for baseball players (yy) using the variables RBI (x1x1) and HR (x2x2), then we use a regression equation of the form ˆy=b0+b1x1+b2x2y^=b0+b1x1+b2x2. 

  • HR - Home runs - hits on which the batter successfully touched all four bases, without the contribution of a fielding error.
  • RBI - Run batted in - number of runners who scored due to a batters's action, except when batter grounded into double play or reached on an error
  • Salary is in millions of dollars.
RBI's HR's Salary (in millions)
108 38 28.050
86 31 27.500
59 25 25.000
119 31 25.000
103 39 24.050
44 15 23.125
49 11 23.000
111 30 22.750
87 31 22.125
90 18 21.857
49 7 21.667
70 21 21.571
108 35 21.500
56 9 21.143
84 38 21.119
80 14 20.802
17 7 20.000
79 24 20.000
91 31 20.000
97 29 20.000
57 13 18.500
44 8 18.000
104 32 18.000
86 27 18.000
100 25 17.454
62 20 17.000
58 20 17.000
100 29 16.083
127 38 16.000
83 29 16.000
59 30 16.000
54 15 15.800
66 17 15.800
68 22 6.750
84 12 6.000
48 12 5.950
38 10 12.000
55 13 11.000
76 18 10.500
90 27 5.100
53 11 5.000
24 7 4.550
47 15 4.150
34 14 3.900
31 12 3.667
72 32 3.300
52 20 2.750
64 20 2.600
a) Use software to find the multiple linear regression equation. Enter the coefficients rounded to 4 decimal
places.
21 +
b) Use the multiple linear regression equation to predict the salary for a baseball player with an RBI of 59
and HR of 22. Round your answer to 1 decimal place, do not convert numbers to dollars.
millions of dollars
c) Holding all other variables constant, what is the correct interpretation of the coefficient b1 = 0.111 in
the multiple linear regression equation?
O lf the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase
by 0.0371.
O For each RBI, a baseball player's predicted sallary increases by 0.111 million dollars.
O lf the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase
by one.
O For each HR, a baseball player's predicted sallary increases by 0.111 million dollars.
d) Holding all other variables constant, what is the correct interpretation of the coefficient bą = 0.0371
in the multiple linear regression equation?
O If the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase
by one.
O For each HR, a baseball player's predicted sallary increases by 0.0371 million dollars.
For each RBI, a baseball player's predicted sallary increases by 0.0371 million dollars.
Olf the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase
by 0.111.
Transcribed Image Text:a) Use software to find the multiple linear regression equation. Enter the coefficients rounded to 4 decimal places. 21 + b) Use the multiple linear regression equation to predict the salary for a baseball player with an RBI of 59 and HR of 22. Round your answer to 1 decimal place, do not convert numbers to dollars. millions of dollars c) Holding all other variables constant, what is the correct interpretation of the coefficient b1 = 0.111 in the multiple linear regression equation? O lf the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase by 0.0371. O For each RBI, a baseball player's predicted sallary increases by 0.111 million dollars. O lf the baseball player's salary increases by 0.111 million dollars, then the predicted RBI will increase by one. O For each HR, a baseball player's predicted sallary increases by 0.111 million dollars. d) Holding all other variables constant, what is the correct interpretation of the coefficient bą = 0.0371 in the multiple linear regression equation? O If the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase by one. O For each HR, a baseball player's predicted sallary increases by 0.0371 million dollars. For each RBI, a baseball player's predicted sallary increases by 0.0371 million dollars. Olf the baseball player's salary increases by 0.0371 million dollars, then the predicted HR will increase by 0.111.
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