A study was performed on a type of bearing to find the relationship of amount of wear y to x 1 = oil viscosity and x 2 = load. The following data were obtained. (From Response Surface Methodology ,...

A study was performed on a type of bearing to find the relationship of amount of wearytox
₁ = oil viscosity andx
₂ = load. The following data were obtained. (FromResponse Surface Methodology, Myers, Montgomery, and Anderson-Cook, 2009.)

(a) Estimate the unknown parameters of the multiple linear regression equation

μ_Y|x
₁
,x
₂ =β
₀ +β
₁
x
₁ +β
₂
x
₂
.

(b) Predict wear when oil viscosity is 20 and load is 1200.