Use Appendix F to look up the critical value of F for 05 Ro

Use Appendix F to look up the critical value of F for = .05. (Round your answer to 2 decimal places.)

Solution

Refer to the ANOVA table for this regression.

  Source

d.f.

SS

MS

  Regression

3   

1,196,410

398,803

  Error

26   

379,332

14,590

     Total

29   

1,575,742

(a)

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

  The degrees of freedom for regression are 3 and for error 26

(b)

Use Appendix F to look up the critical value of F for = .05. (Round your answer to 2 decimal places.)

  F_{.05_ = __}2.98

(c-1)

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

  F statistic =27.334

(c-2)

The overall regression is significant.

Yes

No

(c-3)

The hypotheses are

a.

H₀: All the coefficients are zero (₁ = ₂ = ₃ = 0) vs. H₁: At least one coefficient is not zero.

b.

H₀: At least one coefficient is non-zero vs. H₁: All the coefficients are zero (₁ = ₂ = ₃ = 0)

a

b

(d)

Calculate R² and R²_adj. (Round your answers to 4 decimal places.)

  R²     = 0.7593

  R²_adj    = 0.7315