Answer Happy

2. Consider the dataset from Table B.12 and it can be loaded from R package MPV (table.b12). The response variable y = PITCH is the result of a carbon analysis on the gear pitch for a cross-sectioned part. Use all possible regressions and the Cp criterion to find an appropriate regression model for these data. Investigate model adequacy using residual plots. Provide interpretations/explanations.
585 Pitch Diffpet 0.90 Temp 1650 1650 1650 1650 1600 1600 1650 1650 1650 1650 1650 1650 1650 1650 1650 TABLE B.12 Heat Treating Data Soaktime Soakpet 0.58 1.10 0.66 1.10 0.66 1.10 0.66 1.10 0.66 1.15 0.66 1.15 1.00 1.10 1.17 1.10 1.17 1.10 1.17 1.10 1.17 1.10 1.17 1.10 1.17 1.15 1.20 1.15 2.00 1.15 1650 2.00 1650 2.20 2.20 2.20 2.20 Difftime 0.25 0.33 0.33 0.33 0.33 0.33 0.50 0.58 0.58 0.58 0.58 0.58 0.58 1.10 0.90 0.90 0.95 1.00 1.00 0.80 0.80 0.80 0.80 0.90 0.90 1.10 1.10 1.10 1.15 1.10 1.00 1.10 1.10 1.10 1.10 1.10 1.10 1.50 1.50 1.50 1.50 166 1.50 1.50 1.50 1.50 1.50 1.50 0.013 0.016 0.015 0.016 0.015 0.016 0.014 0.021 0.018 0.019 0.021 0.019 0.121 0.025 0.025 0126 0.024 0.025 0.024 0.024 0.02 0.02 0.02 0.08 0.00 0.0 0.0 of 0 OU 0. 0 0.90 0.80 0.80 0.80 0.80 0.80 0.80 0.90 0.90 0.90 0.80 0.70 0.75 0.85 0.80 0.70 0.70 1650 1650 1650 1650 1650 1650 1650 1650 1650 1650 1700 1650 1650 1700 1700 2.20 1.10 2.20 1.10 3.00 1.15 3.00 1.10 3.00 1.10 3.00 1.15 3.33 1.10 4.00 1.10 4.00 1.10 4.00 1.15 12.50 1.00 18.50 1.00 y = PITCH: Results of the pitch carbon analysis test TEMP: Furnace temperature SOAKTIME: Duration of the carburizing cycle SOAKPCT: Carbon concentration DIFFTIME: Duration of the diffuse cycle DIFFPCT: Carbon concentration of the diffuse cycle 0.85 0.70 0.70