Use methods of descriptive statistics to summarize the data.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Use methods of descriptive statistics to summarize the data. 

 

Chapter Review
Case Problem Alumni Giving
1
Alumni donations are an important source of revenue for colleges and universities. If administrators could
determine the factors that could lead to increases in the percentage of alumni who make a donation, they
might be able to implement policies that could lead to increased revenues. Research shows that students
who are more satisfied with their contact with teachers are more likely to graduate. As a result, one might
suspect that smaller class sizes and lower student/faculty ratios might lead to a higher percentage of
satisfied graduates, which in turn might lead to increases in the percentage of alumni who make a
donation. The following table shows data for 48 national universities. The Graduation Rate column is the
percentage of students who initially enrolled at the university and graduated. The % of Classes Under 20
column shows the percentages of classes with fewer than 20 students that are offered. The Student/Faculty
Ratio column is the number of students enrolled divided by the total number of faculty. Finally, the
Alumni Giving Rate column is the percentage of alumni who made a donation to the university. LO 1, 2,
3, 4, 5, 9
DATA file
alumnigiving
^
Transcribed Image Text:Chapter Review Case Problem Alumni Giving 1 Alumni donations are an important source of revenue for colleges and universities. If administrators could determine the factors that could lead to increases in the percentage of alumni who make a donation, they might be able to implement policies that could lead to increased revenues. Research shows that students who are more satisfied with their contact with teachers are more likely to graduate. As a result, one might suspect that smaller class sizes and lower student/faculty ratios might lead to a higher percentage of satisfied graduates, which in turn might lead to increases in the percentage of alumni who make a donation. The following table shows data for 48 national universities. The Graduation Rate column is the percentage of students who initially enrolled at the university and graduated. The % of Classes Under 20 column shows the percentages of classes with fewer than 20 students that are offered. The Student/Faculty Ratio column is the number of students enrolled divided by the total number of faculty. Finally, the Alumni Giving Rate column is the percentage of alumni who made a donation to the university. LO 1, 2, 3, 4, 5, 9 DATA file alumnigiving ^
University
A
1
2 Boston College
3 Brandeis University
4 Brown University
5 California Institute of Technology
6 Carnegie Mellon University
7 Case Western Reserve Univ.
8 College of William and Mary
9 Columbia University
10 Cornell University
11 Dartmouth College
12 Duke University
13 Emory University
14 Georgetown University
15 Harvard University
16 Johns Hopkins University
17 Lehigh University
18 Massachusetts Inst. of Technology
19 New York University
20 Northwestern University
21 Pennsylvania State Univ.
22 Princeton University
23 Rice University
24 Stanford University
25 Tufts University
26 Tulane University
27 U. of California-Berkeley
28 U. of California-Davis
29 U. of California-Irvine
30 U. of California-Los Angeles
31 U. of California-San Diego
32 U. of California-Santa Barbara
33 U. of Chicago
34 U. of Florida
35 U. of Illinois-Urbana Champaign
36 U. of Michigan-Ann Arbor
37 U. of North Carolina-Chapel Hill
38 U. of Notre Dame
39 U. of Pennsylvania
40 U. of Rochester
41 U. of Southern California
42 U. of Texas-Austin
43 U. of Virginia
44 U. of Washington
45 U. of Wisconsin-Madison
46 Vanderbilt University
47 Wake Forest University
48 Washington University-St. Louis
49 Yale University
50
51
52
53
54
55
B
State
ΜΑ
ΜΑ
RI
CA
PA
OH
VA
NY
NY
NH
NC
GA
DC
ΜΑ
MD
PA
ΜΑ
NY
IL
PA
NJ
TX
CA
ΜΑ
LA
CA
CA
CA
CA
CA
CA
IL
FL
IL
MI
NC
IN
PA
NY
CA
TX
VA
WA
WI
TN
NC
MO
CT
C
Graduation
Rate
85
79
93
85
75
72
89
88
90
91
94
92
84
91
97
89
81
92
72
90
80
95
92
92
87
72
83
74
74
78
80
70
84
67
77
83
82
94
90
76
70
66
92
70
73
82
82
86
94
D
% of Classes
Under 20
39
68
60
65
67
52
45
69
72
61
68
65
54
73
64
55
65
63
66
32
68
62
69
67
56
58
32
42
41
48
45
65
31
29
51
40
53
65
63
53
39
4
44
37
37
68
59
73
77
E
Student-
Faculty Ratio
13
8
8
3
10
8
12
7
13
10
8
7
10
8
9
11
6
13
8
19
5
8
7
9
2528898
12
17
19
20
18
19
20
4
23
15
15
16
13
7
10
13
21
13
12
13
9
11
7
7
F
Alumni
Giving Rate
25
33
400
46
28
31
27
31
35
53
45
37
29
46
27
40
44
13
30
21
67
40
34
29
17
18
7
9
13
8
12
36
19
23
13
26
49
41
23
22
13
28
12
13
31
38
33
50
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
AA
AB
AC
AD
AE
AF
AG
AH
Al
AJ
Transcribed Image Text:University A 1 2 Boston College 3 Brandeis University 4 Brown University 5 California Institute of Technology 6 Carnegie Mellon University 7 Case Western Reserve Univ. 8 College of William and Mary 9 Columbia University 10 Cornell University 11 Dartmouth College 12 Duke University 13 Emory University 14 Georgetown University 15 Harvard University 16 Johns Hopkins University 17 Lehigh University 18 Massachusetts Inst. of Technology 19 New York University 20 Northwestern University 21 Pennsylvania State Univ. 22 Princeton University 23 Rice University 24 Stanford University 25 Tufts University 26 Tulane University 27 U. of California-Berkeley 28 U. of California-Davis 29 U. of California-Irvine 30 U. of California-Los Angeles 31 U. of California-San Diego 32 U. of California-Santa Barbara 33 U. of Chicago 34 U. of Florida 35 U. of Illinois-Urbana Champaign 36 U. of Michigan-Ann Arbor 37 U. of North Carolina-Chapel Hill 38 U. of Notre Dame 39 U. of Pennsylvania 40 U. of Rochester 41 U. of Southern California 42 U. of Texas-Austin 43 U. of Virginia 44 U. of Washington 45 U. of Wisconsin-Madison 46 Vanderbilt University 47 Wake Forest University 48 Washington University-St. Louis 49 Yale University 50 51 52 53 54 55 B State ΜΑ ΜΑ RI CA PA OH VA NY NY NH NC GA DC ΜΑ MD PA ΜΑ NY IL PA NJ TX CA ΜΑ LA CA CA CA CA CA CA IL FL IL MI NC IN PA NY CA TX VA WA WI TN NC MO CT C Graduation Rate 85 79 93 85 75 72 89 88 90 91 94 92 84 91 97 89 81 92 72 90 80 95 92 92 87 72 83 74 74 78 80 70 84 67 77 83 82 94 90 76 70 66 92 70 73 82 82 86 94 D % of Classes Under 20 39 68 60 65 67 52 45 69 72 61 68 65 54 73 64 55 65 63 66 32 68 62 69 67 56 58 32 42 41 48 45 65 31 29 51 40 53 65 63 53 39 4 44 37 37 68 59 73 77 E Student- Faculty Ratio 13 8 8 3 10 8 12 7 13 10 8 7 10 8 9 11 6 13 8 19 5 8 7 9 2528898 12 17 19 20 18 19 20 4 23 15 15 16 13 7 10 13 21 13 12 13 9 11 7 7 F Alumni Giving Rate 25 33 400 46 28 31 27 31 35 53 45 37 29 46 27 40 44 13 30 21 67 40 34 29 17 18 7 9 13 8 12 36 19 23 13 26 49 41 23 22 13 28 12 13 31 38 33 50 G H I J K L M N O P Q R S T U V W X Y Z AA AB AC AD AE AF AG AH Al AJ
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Follow-up Question

Develop an estimated simple linear regression model that can be used to predict the alumni giving rate, given the graduation rate. Discuss your findings. 

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Follow-up Question

Develop an estimated simple linear regression model that can be used to predict the alumni giving rate, given the graduation rate. Discuss the findings. 

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