Question

Perform a backwards selection process to find a model that includes only significant predictors of the response variable. Use the model obtained after performing the backwards selection process to answer the following questions

a] Write the regression equation, defining the terms in the equation. (2 points)
b] Predict the graduation rate for a small college that includes both male and female students, has a median SAT of 950, and student related expenses of $12,500. (Note: your final model may not include all of these variables. If it does not, then ignore the values given in this problem for variables not in your final model.) (2 points)

c] What percent of the variation in the response variable is explained by your final regression model? (1 pt)

d] What recommendation would you make to the committee as far as what factor or factors may have a strong impact on graduation rates at small colleges and universities? Briefly discuss. (3 points)

college	rate	SAT	expense	students
Cornerstone University	0.391	1065	9482	0
Barry University	0.389	950	13149	0
Wilkes University	0.532	1090	9418	0
Colgate University	0.893	1350	26969	0
Lourdes College	0.313	930	8489	0
Cncordia University of Austin	0.315	985	8329	0
Carleton College	0.896	1390	29605	0
Letourneau University	0.545	1170	13154	0
Ohio Valley College	0.288	950	10887	0
Chadron State College	0.469	990	6046	0
Meredith College	0.679	1035	14889	1
Tougaloo College	0.495	845	11694	0
Hawaii Pacific University	0.41	1000	9911	0
University of Michigan-Dearborn	0.497	1065	9371	0
Whittier College	0.553	1065	14051	0
Wheaton College	0.845	1325	18420	0
Southampton College of Long Island	0.465	1035	13302	0
Keene State College	0.541	1005	8098	0
Mount St Mary's College	0.579	918	12999	1
Wellesley College	0.912	1370	35393	1
Fort Lewis College	0.298	970	5518	0
Bowdoin College	0.891	1375	35669	0

Answer 1