When estimating y = β0 + β1x1 + β2x2 + β3x3 + ε, you wish to...

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When estimating y = β0 + β1x1 + β2x2 + β3x3 + ε, you wish to...

When estimating y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε, you wish to test H₀: β₁ = β₂ = 0 versus H_A: At least one β_{i ≠} 0. The value of the test statistic is F_(2,20) = 2.50 and its associated p-value is 0.1073. At the 5% significance level, the conclusion is to ________.

Multiple Choice

a. reject the null hypothesis; we can conclude that x₁ and x₂ are jointly significant

b. not reject the null hypothesis; we can conclude that x₁ and x₂ are jointly significant

c. reject the null hypothesis; we cannot conclude that x₁ and x₂ are jointly significant

d. not reject the null hypothesis; we cannot conclude that x₁ and x₂ are jointly significant

math Statistics-And-Probability

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When estimating y = β0 + β1x1 + β2x2 + β3x3 + ε, you wish to...