A Regression Model with One Independent Variable, X₁, Resulted in an SSE

question 5

Essay

A regression model with one independent variable, x₁, resulted in an SSE of 50. When a second independent variable, x₂, was added to the model, the SSE was reduced to 40. At $\alpha$ = 0.05, determine if x₂ contributes significantly to the model. The sample size for both models was 30.

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Definitions:

Condensation Polymer

A type of polymer formed by the reaction of two monomers with the simultaneous elimination of small molecules such as water, resulting in a bond between the monomers.

ε-Caprolactam

A cyclic amide or lactam, used as a monomer in the production of Nylon 6 through ring-opening polymerization.

Nylon 6

A type of polyamide or nylon made from a single monomer, caprolactam, characterized by its long, repetitive chains, used in textile and plastic industries.

Polymer

Large molecules composed of repeating structural units known as monomers, bonded together via chemical reactions.