BASEBALL. Consider a multiple-regression model for predictingthe 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 (9) for each of the 30 teams during the 2019MLB season, a 1st-order model for total number of runs scored(y) was fit. The results are shown in the Minitab printout (nextcolumn).a. Write the least squares prediction equation fory = total number of runs scored by a team during the2019 season.b. Give practical interpretations of the beta estimates.c. Conduct a test of Ho: B7 0 against Ha: B7 < 0 ata = .05. Interpret the results.d. Locate a 95% confidence interval for 85 on the printout.Interpret the interval.e. Predict the number of runs scored in 2019 by yourfavorite MLB team. How close is the predicted value tothe actual number of runs scored by your team? Regression EquationRUNS = -295 + 0.122 WALKS + 0.443 SINGLES + 0.793 DOUBLES + 0.400 TRIPLES + 1.742 HOMERUNS+ 0.647 STOLEBASES - 0.754 CAUGHTSTEAL - 0.0542 STRIKEOUTS+ 0.0353 GRNDOUTSCoefficientsTermConstantWALKSSINGLESDOUBLESTRIPLESCoef SE Coef95% CI(-751, 161)-2952190.145 (-0.181, 0.425)0.1220.4430.131 (0.170, 0.716)0.7930.216 (0.343, 1.244)0.400 0.731 (-1.126, 1.926)1.742 0.237 (1.248, 2.236)0.286 (0.051, 1.243)0.733 (-2.283, 0.775)-0.0542 0.0604 (-0.1802, 0.0718)0.0353 0.0864 (-0.1449, 0.2155)HOMERUNSSTOLEBASES0.647CAUGHTSTEAL -0.754STRIKEOUTSGRNDOUTSModel SummaryS R-sq R-sq(adj)23.4900 95.30% 93.19%Analysis of VarianceSourceRegressionErrorTotalT-Value P-Value VIF-1.350.1920.840.411 5.703.380.003 2.433.670.002 1.840.550.591 1.497.360.0005.122.260.035 2.90-1.030.316 1.84-0.900.381 2.280.410.687 2.87DF Adj SS Adj MS F-Value P-Value9 223976 24886.245.100.0002011036551.829 235011

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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a. Write the least squares prediction equation for y = total number of runs scored by a team during the 2019 season. b. Give practical interpretations of the beta estimates. c. Conduct a test of Ho: 37 = 0 against Ha: B7 < 0 at a = .05. Interpret the results.