Question

With the multiple linear regression equation in (2), what will be the alumni-giving rate with the graduation rate as 85%, 60% of classes with fewer than 20 students, and student-faculty ratio as 12? (20%).

State Graduation Rate 85 79 93 85 75 Alumni Giving Rate 25 % of Classes Student-Faculty Under 20 Ratio 39 13 68 8 60 8 33 40 65 3 10 46 28 67 72 52 8 31 89 90 45 69 72 12 7 13 10 27 31 35 91 94 61 68 8 92 84 53 45 37 29 65 54 7 10 91 97 73 8 46 64 9 27 89 81 92 55 11 40 6 65 63 44 13 72 13 90 66 8 30 32 19 21 80 95 92 68 5 67 40 62 8 92 69 7 34 University Boston College Brandeis University Brown University California Institute of Technology Carnegie Mellon University Case Western Reserve Univ. College of William and Mary Columbia University Cornell University Dartmouth College Duke University Emory University Georgetown University Harvard University Johns Hopkins University Lehigh University Massachusetts Inst. of Technology New York University Northwestern University Pennsylvania State Univ. Princeton University Rice University Stanford University Tufts University Tulane University U. of California-Berkeley U. of California-Davis U. of California-Irvine U. of California-Los Angeles U. of California-San Diego U. of California-Santa Barbara U. of Chicago U. of Florida U. of Illinois-Urbana Champaign U. of Michigan-Ann Arbor U. of North Carolina-Chapel Hill U. of Notre Dame U. of Pennsylvania U. of Rochester U. of Southern California U. of Texas-Austin U. of Virginia U. of Washington U. of Wisconsin-Madison Vanderbilt University Wake Forest University Washington University-St. Louis Yale University 87 67 9 29 MA MA RI CA PA OH VA NY NY NH NC GA DC MA MD PA MA NY IL РА NJ TX CA MA LA CA CA CA CA CA CA IL FL IL MI NC IN PA NY CA TX VA WA WI TN NC MO СТ 56 12 17 72 83 58 17 18 74 32 19 7 74 42 20 9 13 78 80 18 19 8 70 20 12 41 48 45 65 31 29 84 4 23 67 77 36 19 23 15 83 51 15 13 82 40 16 26 94 53 49 90 65 41 76 63 53 13 7 10 13 21 23 22 70 66 39 13 44 13 28 92 70 73 12 12 37 37 13 13 82 68 9 31 82 59 11 7 86 94 73 77 38 33 50 7

Answer 1

The multiple linear regression equation is:

y = -14.8314 + 0.6887*x1 + 0.0068*x2 - 1.1390*x3

Put x1 = 85, x2 = 20, x3 = 12

y = -14.8314 + 0.6887*85 + 0.0068*20 - 1.1390*12

y = 30.1761%

School	State	Graduation Rate (%)	% of Classes Under 20	Student/Faculty Ratio	Alumni Giving Rate (%)
Boston College	MA	85	39	13	25
Brandeis University	MA	79	68	8	33
Brown University	RI	93	60	8	40
California Institute of Technology	CA	85	65	3	46
Carnegie Mellon University	PA	75	67	10	28
Case Western Reserve University	OH	72	52	8	31
College of William and Mary	VA	89	45	12	27
Columbia University	NY	90	69	7	31
Cornell University	NY	91	72	13	35
Dartmouth College	NH	94	61	10	53
Duke University	NC	92	68	8	45
Emory University	GA	84	65	7	37
Georgetown University	DC	91	54	10	29
Harvard University	MA	97	73	8	46
John Hopkins University	MD	89	64	9	27
Lehigh University	PA	81	55	11	40
Massachusetts Inst. of Technology	MA	92	65	6	44
New York University	NY	72	63	13	13
Northwestern University	IL	90	66	8	30
Pennsylvania State University	PA	80	32	19	21
Princeton University	NJ	95	68	5	67
Rice University	TX	92	62	8	40
Stanford University	CA	92	69	7	34
Tufts University	MA	87	67	9	29
Tulane University	LA	72	56	12	17
Texas A&M Univ.	TX	82	50	16	23
U. of California-Berkeley	CA	83	58	17	18
U. of California-Davis	CA	74	32	19	7
U. of California-Irvine	CA	74	42	20	9
U. of California-Los Angeles	CA	78	41	18	13
U. of California-San Diego	CA	80	48	19	8
U. of California-Santa Barbara	CA	70	45	20	12
U. of Chicago	IL	84	65	4	36
U. of Florida	FL	67	31	23	19
U. of Houston	TX	62	25	23	18
U. of Illinois-Urbana Champaign	IL	77	29	15	23
U. of Michigan-Ann Arbor	MI	83	51	15	13
U. of North Carolina-Chapel Hill	NC	82	40	16	26
U. of Notre Dame	IN	94	53	13	49
U. of Pennsylvania	PA	90	65	7	41
U. of Rochester	NY	76	63	10	23
U. of Southern California	CA	70	53	13	22
U. of Texas-Austin	TX	66	39	21	13
U. of Virginia	VA	92	44	13	28
U. of Washington	WA	70	37	12	12
U. of Wisconsin-Madison	WI	73	37	13	13
Vanderbilt University	TN	82	68	9	31
Wake Forest University	NC	82	59	11	38
Washington University - St. Louis	MO	86	73	7	33
Yale University	CT	94	77	7	50