In: Accounting
Formalities:
A portion of the Minitab output is shown below:
The regression equation is
S&P = - 669 + 0.157 DJIA
Predictor Coef SE Coef T P
Constant -669.0 130.7 -5.12 0.000
DJIA 0.15727 0.01015 15.49 0.000
S = 9.60811 R-Sq = 94.9% R-Sq(adj) = 94.5%
Analysis of Variance
Source DF SS MS F P
Regression 1 22146 22146 239.89 0.000
Residual Error 13 1200 92
Total 14 23346
Using the F test, the p-value corresponding to F = 239.89 is .000. Because the p-value=.05, we reject; there is a significant relationship.
With R-Sq = 94.9%, the estimated regression equation provided an excellent fit.
The DJIA is not that far beyond the range of the data. With the excellent fit provided by the estimated regression equation, we should not be too concerned about using the estimated regression equation to predict the S&P500.