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Regression equation

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** Please see the attached file for the complete problem description **

Two experts provided subjective lists of school districts that they think are among the best in the county. For each school district the average class size, the combined SAT score, and the percentage of students who attended a four-year college were provided.

a. Using these data, develop an estimated regression equation relating the percentage of students who attend a four-year college to the average class size and the combined SAT score.
b. Estimate the percentage of students who attend a four-year college if the average class size is 20 and the combined SAT score is 1000.

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This solution contains regression equation relating the percentage of students who attend a four-year college to the average class size and the combined SAT score and estimates the percentage of students who attend a four-year college if the average class size is 20 and the combined SAT score is 1000.

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Two experts provided subjective lists of school districts that they think are among the best in the county. For each school district the average class size, the combined SAT score, and the percentage of students who attended a four-year college were provided.
(please see the attached file)

District Average Class Size Combined SAT Score % Attend Four-Year College
Blue Springs, MO 25 1083 74
Garden City, NY 18 997 77
Indianapolis, IN 30 716 40
Newport Beach, CA 26 977 51
Novi, MI 20 980 53
Piedmont, CA 28 1042 75
Pittsburg, PA 21 983 66
Scarsdale, NY 20 1110 87
Wayne, PA 22 1040 85
Weston, MA 21 1031 89
Farmingdale, NY 22 947 81
Mamaroneck, NY 20 1000 69
Mayfield, OH 24 1003 48
Morristown, NJ 22 972 64
New Rochelle, NY 23 1039 55
Newtown Square, PA 17 963 79
Omaha, NE 23 1059 81
Shaker Heights, OH 23 940 82
a. Using these data, develop an estimated regression equation relating the percentage of students who attend a four-year college to the average class size and the combined SAT score.
(please see the attached file) Step 1: Set up the regression equation. The regression equation for this problem is
Dependent variable = Constant + Coefficient(s)*Independent variable(s)
Or
Predicted variable = Constant + Coefficient(s)*Predictor variable(s)
We have to predict the percentage of students who attended a four year college and the predictor ...

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