Question

The estimated regression equation for a model involving two independent variables and 10 observations follows.

y^= 30.6764 + .8162x₁ + .4221x₂

a. Interpret b₁ and b₂ in this estimated regression equation.

b₁ =

[- Select your answer -(y changes by 0.8162 when x1 increases by 1 unit and x2 stays the same) (y changes by 0.8162 when x2 increases by 1 unit and x1 stays the same) (y changes by 0.4221 when x1 increases by 1 unit and x2 stays the same) (y changes by 0.4221 when x2 increases by 1 unit and x1 stays the same) ]

b₂ =

[- Select your answer -(y changes by 0.8162 when x1 increases by 1 unit and x2 stays the same) (y changes by 0.8162 when x2 increases by 1 unit and x1 stays the same) (y changes by 0.4221 when x1 increases by 1 unit and x2 stays the same) (y changes by 0.4221 when x2 increases by 1 unit and x1 stays the same) ]

b. Estimate y when x₁ =180 and x₂ = 310 (to 3 decimals).

Answer 1

a) b1 =y changes by 0.8162 when x1 increases by 1 unit and x2 stays the same

b2 =y changes by 0.4221 when x2 increases by 1 unit and x1 stays the same

b) We have given regression equation is ,

y^= 30.6764 + .8162x₁ + .4221x₂

_Substitute x₁ =180 and x₂ = 310 in regression equation.

=>y^= 30.6764 + .8162(180) + .4221(310)

=308.443