The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female) . $\hat { y }$ = 30 + .7x₁ + 3x₂

Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is

Question

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x₁) and their gender (x₂) (0 if male and 1 if female) .

\hat { y }

= 30 + .7x₁ + 3x₂

Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is

Quizplus · Accepted Answer

The multiple coefficient of determination, R², is calculated as 1 - (SSE/SST). Here, R² = 1 - (384/1200) = 0.68.

The Following Estimated Regression Equation Was Developed Relating Yearly Income y^\hat { y }y^​

The Following Estimated Regression Equation Was Developed Relating Yearly Income $\hat { y }$