1) 2) Interpret output from a multiple linear regression Standard T Error Estima
ID: 3374886 • Letter: 1
Question
1)
2)
Interpret output from a multiple linear regression Standard T Error Estimate Statistic P-Value Parameter CONSTANT 0.313219 3.99703 0.0783629 0.9388 X1 X2 X3 0.0045 1.23169 0.352775 3.49144 0.372711 0.340435 -1.09481 0.2951 0.683627 0.186081 3.67382 0.0032 Analysis of Variance Source Sum of Squares Df Model Residua 183.102 Total (Corr.) 519.017 Mean Square F-Ratio P-Value 335.915 111.972 7.34 0.0047 12 15.2585 15 R-Squared 64.7214 percent R-Squared (adjusted for d.f) 55.9018 percent Based on the ANOVA table, what can be concluded from the output above? All of the variables shown predict our output better than would be expected by random chance. At least one of the coefficients must be negative At least one of the variables shown predicts our output better than would be expected by random chance All of the coefficients must be positiveExplanation / Answer
1)
As p Value=0.0047
Which is less than 0.05, we will reject the null hypothesis and conclude that
At least one of the variables shown predicts our output better than would be expected by random chance.
2)
DF for numerator of the F Statistics= Number of regressor or predictors
Here number of predictors=5
Hence DF for numerator of the F Statistics =5
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