Question

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.

DATA: Professional Baseball League

Player	RBI	HR	AVG	Salary (in millions)
Jacoby Ellsbury	56	9	0.263	21.143
Joey Votto	97	29	0.326	20
Prince Fielder	44	8	0.212	18
Matt Wieters	66	17	0.243	15.8
Jason Heyward	49	7	0.23	21.667
Mike Trout	100	29	0.315	16.083
Joe Mauer	49	11	0.261	23
Shin-Soo Choo	17	7	0.242	20
Victor Martinez	86	27	0.289	18
Chris Iannetta	24	7	0.21	4.55
Carlos Gonzalez	100	25	0.298	17.454
Logan Forsythe	52	20	0.264	2.75
Hanley Ramirez	111	30	0.286	22.75
Jorge Soler	31	12	0.238	3.667
Ryan Braun	91	31	0.305	20
Aaron Hill	38	10	0.262	12
Hunter Pence	57	13	0.289	18.5
Coco Crisp	55	13	0.231	11
Brian McCann	58	20	0.242	17
Justin Upton	87	31	0.246	22.125
Jayson Werth	70	21	0.244	21.571
Colby Rasmus	54	15	0.206	15.8
J.D. Martinez	68	22	0.307	6.75
Adrian Gonzalez	90	18	0.285	21.857
David Ortiz	127	38	0.315	16

Create a scatter diagram and determine the type of linear correlation?

• strong negative linear correlation
• weak negative linear correlation
• no linear correlation
• weak positive linear correlation
• strong positive linear correlation

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

Find the slope, y-intercept, and equation of the least-squares line

a =  (Round to 4 decimal places.)

b =  (Round to 4 decimal places.)

y^ =   

For a batter with a batting average of 0.276, determine the player's predicted Salary.

millions (Round to one decimal place.)

Answer 1