Problem 2 (16 marks) Based on the Regression Analysis displayed below (with 5% significance level), answer to the following questions: Regression Analysis: Hot Sauce Produced versus Work Area Temp, Age of Mach. Analysis of Variance Source DE Adj SS Adj MS F-Value P-Value Regression 3171.84 1585.92 1303.10 0.000 UN Work Area Temp 392.45 392.45 322. 46 0.000 Age of Mach. 1 2779.39 2779.39 2283.74 0.000 Error 27 32.86 1.22 Lack-of-Fit 24 27.36 1.14 0.62 0.786 Pure Error 3 5.50 1.83 Total 29 3204. 70 Model Summary S R-sq R-aq (adj) R-aq (pred) 1. 10319 98.974 98. 904 98.764 Coefficients Term Coef SE Coef T-Value P-Value VIE Constant 122.63 2.85 43.01 0.000 Work Area Temp -0. 6449 0.0359 -17.96 0.000 1.00 Age of Mach. -3.3568 0. 0702 -47.79 0.000 1.00 Regression Equation Hot Sauce Produced = 122.63 - 0.6449 Work Area Temp - 3.3568 Age of Mach