Statistics concepts for engineering management:
The data in the table provides: College GPA, High School GPA,SAT total score, and number of letters of reference.
  a. Generate a model for college GPA as a function ofthe other three variables.
  b. Is this model useful? Justify yourconclusion.
  c. Are any of the variables not useful predictors?Why?
CGPAÂ Â HSGPAÂ Â SATÂ Â REF
2.04 2.01Â Â 1070Â Â 5
2.56 3.4Â Â 1254Â Â 6
3.75 3.68Â Â 1466Â Â 6
1.1 1.54Â Â 706Â Â 4
3 3.32Â Â 1160Â Â 5
0.05 0.33Â Â 756Â Â 3
1.38 0.36Â Â 1058Â Â 2
1.5 1.97Â Â 1008Â Â 7
1.38 2.03Â Â 1104Â Â 4
4.01 2.05Â Â 1200Â Â 7
1.5 2.1 896Â Â 7
1.29 1.34 848Â Â 3
1.9 1.51 958Â Â 5
3.11 3.12 1246Â Â 6
1.92 2.14 1106Â Â 4
0.81 2.6 790Â Â 5
1.01 1.9 954Â Â 4
3.66 3.06 1500Â Â 6
2 1.6 Â Â 1046Â Â 5