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. The following is a chart of baseball players' salaries and statistics from 2016. Player Name RBI's HR's Salary (in millions) Miquel Cabrera 108 38 28.050 Yoenis Cespedes 86 31 27.500 Ryan Howard 59 25 25.000 Albert Pujols 119 31 25.000 Robinson Cano 103 39 24.050 Mark Teixeira 44 15 23.125 Joe Mauer 49 11 23.000 Hanley Ramirez 111 30 22.750 Justin Upton 87 31 22.125 Adrian Gonzalez 90 18 21.857 Jason Heyward 49 7 21.667 Jayson Werth 70 21 21.571 Matt Kemp 108 35 21.500 Jacoby Ellsbury 56 9 21.143 Chris Davis 84 38 21.119 Buster Posey 80 14 20.802 Shin-Soo Choo 17 7 20.000 Troy Tulowitzki 79 24 20.000 Ryan Braun 91 31 20.000 Joey Votto 97 29 20.000 Hunter Pence 57 13 18.500 Prince Fielder 44 8 18.000 Adrian Beltre 104 32 18.000 Victor Martinez 86 27 18.000 Carlos Gonzalez 100 25 17.454 Matt Holliday 62 20 17.000 Brian McCann 58 20 17.000 Mike Trout 100 29 16.083 David Ortiz 127 38 16.000 Adam Jones 83 29 16.000 Curtis Granderson 59 30 16.000 Colby Rasmus 54 15 15.800 Matt Wieters 66 17 15.800 J.D. Martinez 68 22 6.750 Brandon Crawford 84 12 6.000 Rajai Davis 48 12 5.950 Aaron Hill 38 10 12.000 Coco Crisp 55 13 11.000 Ben Zobrist 76 18 10.500 Justin Turner 90 27 5.100 Denard Span 53 11 5.000 Chris Iannetta 24 7 4.550 Leonys Martin 47 15 4.150 Justin Smoak 34 14 3.900 Jorge Soler 31 12 3.667 Evan Gattis 72 32 3.300 Logan Forsythe 52 20 2.750 Jean Segura 64 20 2.600   So you don't have to type all the data into the Reg2 sheet, you can copy the entire table and paste it into the Reg3 sheet or a new sheet. Then copy just the rows you need from the Reg3 sheet or the new sheet and paste them into the Reg2 sheet. a) Find the multiple linear regression equation. Enter the coefficients rounded to 4 decimal places.      ˆy=y^=  +  x1x1 +  x2x2  b) Use the multiple linear regression equation to predict the salary for a baseball player with an RBI of 30 and HR of 21. Round your answer to 1 decimal place, do not convert numbers to dollars.  millions of dollars

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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.

The following is a chart of baseball players' salaries and statistics from 2016.

Player Name RBI's HR's Salary (in millions)
Miquel Cabrera 108 38 28.050
Yoenis Cespedes 86 31 27.500
Ryan Howard 59 25 25.000
Albert Pujols 119 31 25.000
Robinson Cano 103 39 24.050
Mark Teixeira 44 15 23.125
Joe Mauer 49 11 23.000
Hanley Ramirez 111 30 22.750
Justin Upton 87 31 22.125
Adrian Gonzalez 90 18 21.857
Jason Heyward 49 7 21.667
Jayson Werth 70 21 21.571
Matt Kemp 108 35 21.500
Jacoby Ellsbury 56 9 21.143
Chris Davis 84 38 21.119
Buster Posey 80 14 20.802
Shin-Soo Choo 17 7 20.000
Troy Tulowitzki 79 24 20.000
Ryan Braun 91 31 20.000
Joey Votto 97 29 20.000
Hunter Pence 57 13 18.500
Prince Fielder 44 8 18.000
Adrian Beltre 104 32 18.000
Victor Martinez 86 27 18.000
Carlos Gonzalez 100 25 17.454
Matt Holliday 62 20 17.000
Brian McCann 58 20 17.000
Mike Trout 100 29 16.083
David Ortiz 127 38 16.000
Adam Jones 83 29 16.000
Curtis Granderson 59 30 16.000
Colby Rasmus 54 15 15.800
Matt Wieters 66 17 15.800
J.D. Martinez 68 22 6.750
Brandon Crawford 84 12 6.000
Rajai Davis 48 12 5.950
Aaron Hill 38 10 12.000
Coco Crisp 55 13 11.000
Ben Zobrist 76 18 10.500
Justin Turner 90 27 5.100
Denard Span 53 11 5.000
Chris Iannetta 24 7 4.550
Leonys Martin 47 15 4.150
Justin Smoak 34 14 3.900
Jorge Soler 31 12 3.667
Evan Gattis 72 32 3.300
Logan Forsythe 52 20 2.750
Jean Segura 64 20 2.600

 

So you don't have to type all the data into the Reg2 sheet, you can copy the entire table and paste it into the Reg3 sheet or a new sheet. Then copy just the rows you need from the Reg3 sheet or the new sheet and paste them into the Reg2 sheet.

a) Find the multiple linear regression equation. Enter the coefficients rounded to 4 decimal places.
     ˆy=y^=  +  x1x1 +  x2x2 

b) Use the multiple linear regression equation to predict the salary for a baseball player with an RBI of 30 and HR of 21. Round your answer to 1 decimal place, do not convert numbers to dollars.
 millions of dollars 

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