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

question 18

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:

Very-Low-Birthweight

Refers to newborns who weigh less than 1,500 grams (approximately 3.3 pounds) at birth.

Infant's Weight

Refers to the body weight of a baby at birth and during the early stages of life, an important indicator of health and nutritional status.

Grams

are a unit of mass in the metric system, used to measure small quantities of matter.

Second Stage

In various contexts, this can refer to a subsequent phase or part of a process following an initial stage.