Solutions Calculus

Cost of Producing Guitars: Carlota Music Company estimates that the marginal cost of manufacturing i

Question: For each of the following school districts the average class size, combined SAT score, and the percentage of students who attended a four-year college were provided. Develop an estimated regression equation relating the percentage of students who attend a four-year college to the average class size and combined SAT score.

a. Give the regression equation

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.

District	Average	Combined	% Attend
	Class Size	SAT Score	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