Refer to the ANOVA table for this regression The Hypothesis

Refer to the ANOVA table for this regression.

The Hypothesis is?

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

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

Solution

F = 398.503/14.590

= 27.313

df = 3,26

p value =0.000004

As p < alpha, reject null hypothesis.

H₀: All the coefficients are zero (₁ = ₂ = ₃ = 0) has no statistical evidence.