Question

In: Statistics and Probability

I want this to be solved using R studio or R software, please. Here is the...

I want this to be solved using R studio or R software, please.

Here is the example:

The data in stat4_prob5 present the performance of a chemical process as a function of sever controllable process variables.

  1. (a) Fit a multiple regression modelrelating CO2product (y) to total solvent (x1) and hydrogen consumption (x2) and report the fitted regression line.
  2. (b) Find a point estimatefor the variance term σ2.
  3. (c) Construct the ANOVA tableand test for the significance of the regression using

α = 0.05.

  1. (d) Using individual t-tests determine the contribution of x1 and x2 to the model using α = 0.05.

Here is the data:

y=c(36.98, 13.74, 10.08, 8.53, 36.42, 26.59, 19.07, 5.96, 15.52, 56.61, 26.72, 20.80, 6.99, 45.93, 43.09, 15.79, 21.60, 35.19, 26.14, 8.60, 11.63, 9.59, 4.42, 38.89, 11.19, 75.62, 36.03)

x1=c(2227.25, 434.90, 481.19, 247.14, 1645.89, 907.59, 608.05, 380.55, 213.40, 2043.36, 761.48, 566.40, 237.08, 1961.49, 1023.89, 411.30, 2244.77, 978.64, 687.62, 468.28, 460.62, 290.42, 233.95, 2088.12, 994.63, 2196.17, 1080.11)

x2=c(2.06, 1.33, 0.97, 0.62, 0.22, 0.76, 1.71, 3.93, 1.97, 5.08, 0.60, 0.90, 0.63, 2.04, 1.57, 2.38, 0.32, 0.44, 8.82, 0.02, 1.72, 1.88, 1.43, 1.35, 1.61, 4.78, 5.88)

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Expert Solution

orchestra answered 1 year ago
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