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The following output represents the ANOVA table of a multiple regression model w

ID: 363119 • Letter: T

Question

The following output represents the ANOVA table of a multiple regression model with n= 40.

Source

Df

SS

MS

F

p

Regression

???

1100

275

???

<0.01

Error

35

???

10

Total

???

1450


Using the output, fill in the blanks and round off your answer to the nearest integer.

The number of predictors in the model is equal to   .

The Sum of Squares for error is equal to   .

Knowing that R-squared is equal to 0.76, we can say that approximately   percent of the variability in the outcome is explained by the use of these predictors in the model.

Source

Df

SS

MS

F

p

Regression

???

1100

275

???

<0.01

Error

35

???

10

Total

???

1450

Explanation / Answer

So,

So using the above:

Source Df SS MS F p Regression N-K 1100 275 F value of (MS Reg/MS Error) <0.01 Error k-1= 35 SS Error = SS Total - SS Reg 10 Total N-1 1450