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) . = 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) .

The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x<sub>1</sub>) and their gender (x<sub>2</sub>) (0 if male and 1 if female) . = 30 + .7x<sub>1</sub> + 3x<sub>2</sub> Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is A) .32. B) .42. C) .68. D) .50.

= 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 (R-squared) is given by: 
R-squared = 1 - SSE/SST

Substituting in the values given: 
R-squared = 1 - 384/1200 
R-squared = 0.68

Therefore, the answer is C): .68.

The Following Estimated Regression Equation Was Developed Relating Yearly Income