When Estimating Y = β₀ + β₁x₁ + β₂x₂

question 86

Multiple Choice

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 ____________________________________________________________.

• A) reject the null hypothesis and conclude that x₁ and x₂ are jointly significant
• B) reject the null hypothesis and conclude that x₁ and x₂ are not jointly significant
• C) not reject the null hypothesis and conclude that x₁ and x₂ are jointly significant
• D) not reject the null hypothesis and conclude that x₁ and x₂ are not jointly significant

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Definitions:

Peaks

Points in a dataset or graph representing maximum values or points of interest, often used in analysis.

Compound

A substance formed when two or more chemical elements are chemically bonded together, distinct from mixtures.

UV-visible Spectrum

The absorption or reflectance spectrum in the ultraviolet and visible light region that is used to identify chemical substances.

Aromatic Hydrocarbons

Compounds made up of hydrogen and carbon that contain a planar ring of continuously overlapping p-orbitals, known for their stability and unique chemical behavior.