Answer: None of the coefficients are statistically significantly different from zero

In joint hypothesis testing for multiple regression: 1. **Null Hypothesis (H₀)**: All coefficients are equal to zero (b₁ = b₂ = b₃ = 0) 2. **Alternative Hypothesis (H₁)**: At least one coefficient is statistically different from zero 3. **F-statistic test**: - If computed F-statistic > critical F-value → Reject H₀ (at least one coefficient is significant) - If computed F-statistic < critical F-value → Fail to reject H₀ (no evidence that any coefficient is significant) Since the computed F-statistic is less than the tabulated one-tailed F-value, we fail to reject the null hypothesis. This means there is insufficient evidence to conclude that any of the coefficients (b₁, b₂, or b₃) are statistically significantly different from zero. **Key points**: - The F-test in regression tests the joint significance of all coefficients (except the intercept) - A low F-statistic indicates the model as a whole is not statistically significant - This does not mean individual coefficients might not be significant if tested separately, but the joint test fails to reject the null hypothesis that all coefficients are zero

Author: Nikitesh Somanthe