Consider a multiple regression model for predicting the total number of runs scored by a Major League Baseball (MLB) team during a season. Using data on number of walks (x1), singles (x2), doubles (x3), triples (x4), home runs (x5), stolen bases (x6), times caught stealing (x7), strike outs (x8), and ground outs (x9) for each of the 30 teams during the 2014 MLB season, a first-order model for total number of runs scored (y) was fit. The results are shown in the accompanying Minitab printout.

a. Write the least squares prediction equation for y = total number of runs scored by a team during the 2014 season.

b. Give practical interpretations of the b estimates.

c. Conduct a test of H0: β7 = 0 against Ha: β7 d. Locate a 95% confidence interval for β5 on the printout. Interpret the interval.

e. Predict the number of runs scored in 2014 by your favorite Major League Baseball team. How close is the predicted value to the actual number of runs scored by your team?

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Analysia of Variance DF Adj ea > 04174.4 1 3488.9 Adj MB -Value -Value 24.77 9.24 14.97 16.48 D.94 31. 55 0.00 0.01 Bource Eegression Malks 9352.7 3408.9 5653.8 6221.4 1 3376.7 3376.7 1 11913.7 11913.7 29.S 0.000 0.006 0.001 singles Doublen S653.8 6221.4 0.001 0.007 0.000 0.783 0.929 0.039 0.060 Triplen Home Runa stolerBases Caughtstealing atrikeout Groundouta Error Total 29.5 3.1 3.1 1447.7 1847.7 1 1498.9 20 7551.9 177.6 29 91726.3 4.89 3.97 1498.9 Model Summary R-ag R-sq (adj) -ag (pred) 88.06 19.4318 91.17 82.38 Coefficiente 954 CI -205, (0.0796, 0.4200) 0.100, 0.409. 0.494, (0.687, ( -0.323, Term Constant walks singles Doublen Triples Coef 62 Coet 156 0.0835 0.105 0.207 0.546 0.194 7-value p-value 0.25 3.04 3.87 4.06 2.99 5.62 VIr 40 0.2530 364) 0.801 0.০০% 4.55 0.001 2.18 0.407 0.041 1.633 1.092 0,050 -0.044 -0.0911 -0.1218 0.0622 (-0.2454, 0.0057) 0.627) 0.001 1.92 0.007 1.23 1.273) 2.772) 1.499) 0.422) 0.966) sungeon stelenllase 0.000 1.94 1.54 0.179 0.28 0.783 Caughtatealing strikeouts Groundouta 0.484 (-1.054. -0.09 -2.21 -1.99 0,929 1.89 0.0412 (-0.1771, -0.0052) 0.039 1.55 0.060 2.27 Regrension Equation Runa- 40 + 0.2538 Walka + 0.407 aingles + 0.841 Doubles + 1.633 Teiples + 1.092 Honekuns 0.050 Btolanlana - 0.044 Caughtstaaling - 0.0911 atrikeouta - 0.1218 Graundouta