Statistics are widely used in Major League Baseball. Does a baseball player's batting average (AVG) determine their salary? The following is a chart of 25 baseball players' statistics from 2016. Let the explanatory variable x = AVG and the response variable y= Salary. Player RBI HR AVG Salary (in millions) Buster Posey 80 14 0.288 20.802 Mark Teixeira 44 15 0.204 23.125 Aaron Hill 38 10 0.262 12.000 Hunter Pence 57 13 0.289 18.500 Coco Crisp 55 13 0.231 11.000 Jacoby Ellsbury 56 9 0.263 21.143 Chris Davis 84 38 0.221 21.119 Jean Segura 64 20 0.320 2.600 Troy Tulowitzki 79 24 0.256 20.000 Justin Smoak 34 14 0.217 3.900 Leonys Martin 47 15 0.245 4.150 Hanley Ramirez 111 30 0.286 22.750 Adrian Beltre 104 32 0.300 18.000 Adrian Gonzalez 90 18 0.285 21.857 Adam Jones 83 29 0.265 16.000 Joe Mauer 49 11 0.261 23.000 Chris Iannetta 24 7 0.210 4.550 Curtis Granderson 59 30 0.237 16.000 Jason Heyward 49 7 0.230 21.667 Prince Fielder 44 8 0.212 18.000 Carlos Gonzalez 100 25 0.298 17.454 Jayson Werth 70 21 0.244 21.571 Matt Holliday 62 20 0.246 17.000 Joey Votto 97 29 0.326 20.000 Mike Trout 100 29 0.315 16.083 Determine the correlation coefficient. (Round your answer to 4 decimal places.)Find the slope, y-intercept, and equation of the least-squares line ˆy=a+bxy^=a+bx .a = (Round to 4 decimal places.)b = (Round to 4 decimal places.)ˆy =For a batter with a batting average of 0.254, determine the player's predicted Salary.millions (Round to one decimal place.)

Statistics are widely used in Major League Baseball. Does a baseball player's batting average (AVG) determine their salary? The following is a chart of 25 baseball players' statistics from 2016. Let...

Statistics are widely used in Major League Baseball. Does a baseball player's batting average (AVG) determine their salary? The following is a chart of 25 baseball players' statistics from 2016. Let the explanatory variable x = AVG and the response variable y= Salary.

Player	RBI	HR	AVG	Salary (in millions)
Buster Posey	80	14	0.288	20.802
Mark Teixeira	44	15	0.204	23.125
Aaron Hill	38	10	0.262	12.000
Hunter Pence	57	13	0.289	18.500
Coco Crisp	55	13	0.231	11.000
Jacoby Ellsbury	56	9	0.263	21.143
Chris Davis	84	38	0.221	21.119
Jean Segura	64	20	0.320	2.600
Troy Tulowitzki	79	24	0.256	20.000
Justin Smoak	34	14	0.217	3.900
Leonys Martin	47	15	0.245	4.150
Hanley Ramirez	111	30	0.286	22.750
Adrian Beltre	104	32	0.300	18.000
Adrian Gonzalez	90	18	0.285	21.857
Adam Jones	83	29	0.265	16.000
Joe Mauer	49	11	0.261	23.000
Chris Iannetta	24	7	0.210	4.550
Curtis Granderson	59	30	0.237	16.000
Jason Heyward	49	7	0.230	21.667
Prince Fielder	44	8	0.212	18.000
Carlos Gonzalez	100	25	0.298	17.454
Jayson Werth	70	21	0.244	21.571
Matt Holliday	62	20	0.246	17.000
Joey Votto	97	29	0.326	20.000
Mike Trout	100	29	0.315	16.083

Determine the correlation coefficient. (Round your answer to 4 decimal places.)

Find the slope, y-intercept, and equation of the least-squares line ˆy=a+bxy^=a+bx .

a = (Round to 4 decimal places.)

b = (Round to 4 decimal places.)

ˆy =

For a batter with a batting average of 0.254, determine the player's predicted Salary.

millions (Round to one decimal place.)

Jun 02, 2022

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Statistics are widely used in Major League Baseball. Does a baseball player's batting average (AVG) determine their salary? The following is a chart of 25 baseball players' statistics from 2016. Let...

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