13th Edition

ISBN: 9781305881884

Author: Anderson

Publisher: CENGAGE L

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Textbook Question

Chapter 16.4, Problem 18E

Jeff Sagarin has been providing sports ratings for USA today since 1985. In baseball his predicted RPG (runs/game) statistic takes into account the entire player’s offensive statistics, and is claimed to be the best measure of a player’s true offensive value. The following data show the RPG and a variety of offensive statistics for a recent Major League Baseball (MLB) season for 20 members of the New York Yankees. The labels on columns are defined as follows: RPG, predicted runs per game statistic; H, hits; 2B, doubles; 3B, triples; HR, home runs; RBI, runs batted in; BB, bases on balls (walks); SO, strikeouts; SB, stolen bases; CS, caught stealing; OBP, on-base percentage; SLG, slugging percentage; and AVG, batting average.

Player	RPG	H	2B	3B	HR	RBI	BB	SO	SB	CS	OBP	SLG	AVG
D Jeter	6.51	202	25	5	19	70	77	117	14	5	.3S9	.450	.309
H Matsui	6.32	192	45	3	23	116	63	7S	2	2	.367	.496	.305
A Rodriguez	9.06	194	29	1	4S	130	91	139	21	6	.421	.610	.321
G Sheffield	6.93	170	27	0	34	123	7S	76	10	2	.379	.512	.291
R Cano	5.01	155	34	4	14	62	16	6S	1	3	.320	.45S	.297
B Williams	4.14	121	19	1	12	64	53	75	1	2	.321	.367	.249
J Posada	5.36	124	23	0	19	71	66	94	1	0	.352	.430	.262
J Giambi	9.11	113	14	0	32	S7	10S	109	0	0	.440	.535	.271
T Womack	2.91	S2	S	1	0	15	12	49	27	5	.276	.2S0	.249
T Martinez	5.0S	73	9	0	17	49	3S	54	2	0	.32S	.439	.241
M Bellhorn	4.07	63	20	0	S	30	52	112	3	0	.324	.357	.210
R Sierra	3.27	39	12	0	4	29	9	41	0	0	.265	.371	.229
J Flaherty	1.S3	21	5	0	2	11	6	26	0	0	.206	.252	.165
B Crosby	3.4S	27	0	1	1	6	4	14	4	1	.304	.327	.276
M Lawton	5.15	6	0	0	2	4	7	S	1	0	.263	.250	.125
R Sanchez	3.36	12	1	0	0	2	2	3	0	1	.326	.302	.279
A Phillips	2.13	6	4	0	1	4	1	13	0	0	.171	.325	.150
M Cabrera	1.19	4	0	0	0	0	0	2	0	0	.211	.211	.211
R Johnson	3.44	4	2	0	0	0	1	4	0	0	.300	.333	.222
F Escalona	5.31	4	1	0	0	2	1	4	0	0	.375	.357	.2S6

Let the dependent variable be the RPG statistic.

a. Develop the best one-variable estimated regression equation.
b. Use the methods in this section to develop the best estimated multiple regression equation for predicting a player’s RPG.

Expert Solution & Answer

Chapter 16 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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Solution Summary: The data relates the predicted runs per game, RPG, of 20 members of the New York Yankees in a recent Major League Baseball.

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Chapter 16 Solutions