A study was performed on wear of a bearing y and its relationship to x₁ = oil viscosity and x₂ = load. The following data were obtained. [Prom Response Surface Methodology, Myers and Montgomery (2002)]

(a) Estimate the unknown parameters of the multiple linear regression equation ? _Y?_{x1,x 2} = 00 + ?₁x_l + ?₂x₂.

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

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71.0 38.5 43.0 11.2 56.5 14.5 59.5 72.5 38.2 44.8 76.0 17.2 69.2 42.5 49.0 17.8 74.5 79.5 43.4 56.3 47.5 19.3 81.2 84.0 60.2 88.0 78.2 24.5 86.2 47.4 62.0 21.2 58.1 80.5 44.5 69.0 48.1 16.9 72.0 41.8 14.8 58.1 68.0 42.1 46.0 60.3 20.0 80.5 85.0 48.1 13.2 58.3 71.0 37.5 47.1 84.0 87.2 65.2 22.5 51.0