Statistics Solutions

(Solution Library) An article in the Journal of Pharmaceutical Sciences presents data on the observed mole fraction solubility of a solute at a constant

Question:

An article in the Journal of Pharmaceutical Sciences presents data on the observed mole fraction solubility of a solute at a constant temperature, along with x1=dispersion partial solubility, x2=dipolar partial solubility, and x3=hydrogen bonding Hanon partial solubility.  The response y is the negative logarithm of the mole fraction solubility.

  1. Find a complete quadratic model to the data.
  2. Test for significance of regression, and construct t statistics for each model parameter.  Interpret these results.
  3. Use the extra-sum-of-squares method to test the contribution of all second-order terms to the model.
  4. Consider the quadratic regression model.  Find the variance inflation factors and comment on multicollinearity in this model.
y x1 x2 x3
0.222 7.3 0 0
0.395 8.7 0 0.3
0.422 8.8 0.7 1
0.437 8.1 4 0.2
0.428 9 0.5 1
0.467 8.7 1.5 2.8
0.444 9.3 2.1 1
0.378 7.6 5.1 3.4
0.494 10 0 0.3
0.456 8.4 3.7 4.1
0.452 9.3 3.6 2
0.112 7.7 2.8 7.1
0.432 9.8 4.2 2
0.101 7.3 2.5 6.8
0.232 8.5 2 6.6
0.306 9.5 2.5 5
0.0923 7.4 2.8 7.8
0.116 7.8 2.8 7.7
0.0764 7.7 3 8
0.439 10.3 1.7 4.2
0.0944 7.8 3.3 8.5
0.117 7.1 3.9 6.6
0.0726 7.7 4.3 9.5
0.0412 7.4 6 10.9
0.251 7.3 2 5.2
0.00002 7.6 7.8 20.7

Price: $2.99
Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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