A Regression Model Relating the Yearly Income (Y), Age (X₁) $\hat { y }$

question 86

Essay

A regression model relating the yearly income (y), age (x₁), and the gender of the faculty member of a university (x₂ = 1 if female and 0 if male) resulted in the following information. $\hat { y }$ = 5000 + 1.2x₁ + .9x₂ $\begin{array} { l l l } n = 20 & \mathrm { SSE } = 500 & \mathrm { SSR } = 1500 \\s b 1 = .20 & s b _ { 2 } = .10 &\end{array}$ ​
a.
Is gender a significant variable? Let α = .05.
b.
Determine the multiple coefficient of determination.

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