Assignment:
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.
|
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.
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.
Provide complete and step by step solution for the question and show calculations and use formulas.