Suppose a statistician built a multiple regression model for predicting the tota

Question

Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Use the estimates to predict the number of runs scored by a team with 342 walks, 983 singles, 169 doubles, 30 triples, and 150 home runs.

Ind. Variances      Beta Estimates    Standard Error

Intercept               3.29                     18.64

Walks x1            0.32                    0.05

Singles x2           0.49                   0.04

Doubles x3         0.67                 0.03

Triples x4           1.01                   0.22

Homeruns x5     1.54                 0.05

The model predicts _______runs for the season.(Round to the nearest whole number as needed.)

Explanation / Answer

By above data the required equation is

Y(hat)= 3.29+0.32x1+0.49x2+0.67x3+1.01x4+1.54x5

By putting value of x1= 342

x2=983

x3=169

x4=30 and x5= 150

Y(hat)= 3.29+0.32*342+0.49*983+0.67*169+1.01*30+1.54*150

y(hat)= 3.29+109.44+481.67+113.23+30.3+231= 968.93 = 969(approx)

The model predicts 969 runs for the season.

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