Refer to the ANOVA table for this regression DF SS MS Regres

Refer to the ANOVA table for this regression.

  D.F

SS

MS

  Regression

2   

1,196,417

598,209

  Error

25   

379,339

15,174

     Total

27   

1,575,756

(a)

State the degrees of freedom for the F-test for overall significance.

The degrees of freedom for regression is _______ and for Error is _____

(c-1)

Calculate the F statistic. (Round your answer to 3 decimal places.)

the F statistic = _____________

(d)

Calculate R² and R²_adj. (Round your answers to 3 decimal places.)

(a)

State the degrees of freedom for the F-test for overall significance.

The degrees of freedom for regression is _________ and for Error is ______

Solution

The degrees of freedom for regression is _______ and for Error is ____
ANS: 2, 25

F statistic = MS Between / MS within = 598,209/15,174 = 39.423

R2 = SST - SSR / SST = (1,575,756-1,196,417) / 1,575,756= 0.24073