Question: s on multiple linear regression, Use SAS or R and include your codes. A chemical engineer is investigating how the amount of conversion of a
s on multiple linear regression, Use SAS or R and include your codes. A chemical engineer is investigating how the amount of conversion of a product from a raw material (y) depends on reaction temperature (X1) and reaction time (X2). He has developed the following regression models: 1. = 100 + 0.2X1 + 4X2 2. = 95 + 0.15X1 + 3X2 + 1X1X2 Both models have been built over the range 20 X1 50 (C) and 0.5 X2 10(hours). a. Using both models, what is the predicted value of conversion when X2 = 2 in terms of X1? Repeat this calculation for X2 = 8. Draw a graph of the predicted values as a function of temperature for both conversion models. Comment on the effect of the interaction term in model 2. b. Find the expected change in the mean conversion for a unit change in temperature X 1 for model when X2 = 5. Does this quantity depend on the specific value of reaction time selected? Why? c. Find the expected change in the mean conversion for a unit change in temperature X 1 for model 2 when X2 = 5. Repeat this calculation for X 2 = 2 and X2 =8. Does the result depend on the value selected for X2 ? Why
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