Question

Jeff Sagarin has been providing sports ratings for USA Today since 1985. In baseball, his predicted RPG (runs per game) statistics considers the entire player’s offensive statistics and is claimed to be the best measure of a player’s true offensive value. A set of sample data was collected for RPG and a variety of offensive statistics for a recent Major League Baseball (MLB) season for members of the New York Yankees. The variables are defined as follows: RPG, predicted runs per game statistics; 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.

Let the dependent variable be the RPG statistics for the regression analysis.
Based on the above information about RPG, the following output is taken from applying Backward Elimination procedure to fit a regression model (consider α to remove = 0.05).

Regression Analysis: RPG versus H, 2B, 3B, HR, SO, OBP, AVG Candidate terms: H, 2B, 3B, HR, SO, OBP, AVG -Step 1------ ------Step 2------ Coef Р Coef P Constant -0.424 -0.411 H -0.00553 0.458 -0.00508 0.382 2B 0.0021 0.918 3B 0.388 0.018 0.386 0.014 HR 0.1094 0.000 0.1090 0.0590 SO -0.01003 0.088 -0.00001 0.476 OBP 28.25 0.000 28.21 0.000 AVG -18.13 0.001 -18.14 0.000 S 0.443326 0.426130 R-sq 97.34% 97.33% 95.78% 96.10% R-sq(adj) R-sq(pred) Mallows' Cp 91.18% 93.15% 8.00 6.01

Which variable will be dropped from the model in Step 2? For full credit, explain as to how you come with the answer.

Answer 1

DATE Here then non- au If pualue < 0.05 then that variable stadistically significant and if not not - significant Here the vanable has pralnego-oh except so This vad able has pualno 0-676 70.05 hence this shoul und be yrom model in step2. Cless than 0.05) 5o. dropped