Grad Rate 2016 GPA_Avg SAT_Med Perc_Freshmen_Pell Ratio 0.917 0.872 0.724 0.706 0.675 0.865 0.764 0.743 0.501 0.939 0.832 0.82 0.789 0.645 0.598 0.581 0.316 0.701 0.582 0.509 0.466 0.434 0.362 0.6 0.548 0.528 0.456 0.303 0.413 0.374 3.87 3.94 3.79 3.62 3.62 3.6 3.64 3.5 3.18 3.95 3.75 3.97 3.69 3.61 3.32 3.49 2.93 3.49 3.5 3.08 3.37 3.32 3.2 3.5 3.2 3.36 3.26 3.12 3.4 3.29 1397 1175 1271 1081 1204 1303 1199 1142 902 1479 1222 1211 1217 1086 960 1080 962 1072 1067 990 1088 1069 993 1110 951 1131 990 961 1029 992 0.23 0.409 0.333 0.256 0.199 0.133 0.188 0.193 0.632 0.135 0.185 0.074 0.145 0.283 0.441 0.433 0.679 0.234 0.281 0.494 0.319 0.36 0.479 0.512 0.366 0.224 0.536 0.488 0.385 0.515 9 11 9 19 12 5 13 13 32 2 11 14 14 34 20 18 65 19 8 19 17 13 15 19 19 18 28 16 23 13 normal score -2.141198121 -1.660697611 -1.400745061 -1.211232131 -1.057414228 -0.92524456 -0.807541042 -0.700090213 -0.600178776 -0.505933654 -0.41598722 -0.329291347 -0.245006223 -0.162429373 -0.08094729 0 0.08094729 0.162429373 0.245006223 0.329291347 0.41598722 0.505933654 0.600178776 0.700090213 0.807541042 0.92524456 1.057414228 1.211232131 1.400745061 1.660697611
Grad Rate 2016 GPA_Avg SAT_Med Perc_Freshmen_Pell Ratio 0.917 0.872 0.724 0.706 0.675 0.865 0.764 0.743 0.501 0.939 0.832 0.82 0.789 0.645 0.598 0.581 0.316 0.701 0.582 0.509 0.466 0.434 0.362 0.6 0.548 0.528 0.456 0.303 0.413 0.374 3.87 3.94 3.79 3.62 3.62 3.6 3.64 3.5 3.18 3.95 3.75 3.97 3.69 3.61 3.32 3.49 2.93 3.49 3.5 3.08 3.37 3.32 3.2 3.5 3.2 3.36 3.26 3.12 3.4 3.29 1397 1175 1271 1081 1204 1303 1199 1142 902 1479 1222 1211 1217 1086 960 1080 962 1072 1067 990 1088 1069 993 1110 951 1131 990 961 1029 992 0.23 0.409 0.333 0.256 0.199 0.133 0.188 0.193 0.632 0.135 0.185 0.074 0.145 0.283 0.441 0.433 0.679 0.234 0.281 0.494 0.319 0.36 0.479 0.512 0.366 0.224 0.536 0.488 0.385 0.515 9 11 9 19 12 5 13 13 32 2 11 14 14 34 20 18 65 19 8 19 17 13 15 19 19 18 28 16 23 13 normal score -2.141198121 -1.660697611 -1.400745061 -1.211232131 -1.057414228 -0.92524456 -0.807541042 -0.700090213 -0.600178776 -0.505933654 -0.41598722 -0.329291347 -0.245006223 -0.162429373 -0.08094729 0 0.08094729 0.162429373 0.245006223 0.329291347 0.41598722 0.505933654 0.600178776 0.700090213 0.807541042 0.92524456 1.057414228 1.211232131 1.400745061 1.660697611
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
create a normal
Transcribed Image Text:GradRate 2016 GPA_Avg SAT_Med Perc_Freshmen_Pell
0.917
0.872
0.724
0.706
0.675
0.865
0.764
0.743
0.501
0.939
0.832
0.82
0.789
0.645
0.598
0.581
0.316
0.701
0.582
0.509
0.466
0.434
0.362
0.6
0.548
0.528
0.456
0.303
0.413
0.374
3.87
3.94
3.79
3.62
3.62
3.6
3.64
3.5
3.18
3.95
3.75
3.97
3.69
3.61
3.32
3.49
2.93
3.49
3.5
3.08
3.37
3.32
3.2
3.5
3.2
3.36
3.26
3.12
3.4
3.29
1397
1175
1271
1081
1204
1303
1199
1142
902
1479
1222
1211
1217
1086
960
1080
962
1072
1067
990
1088
1069
993
1110
951
1131
990
961
1029
992
0.23
0.409
0.333
0.256
0.199
0.133
0.188
0.193
0.632
0.135
0.185
0.074
0.145
0.283
0.441
0.433
0.679
0.234
0.281
0.494
0.319
0.36
0.479
0.512
0.366
0.224
0.536
0.488
0.385
0.515
Ratio
9
11
9
19
12
5
13
13
32
2
11
14
14
34
20
18
65
19
8
19
17
13
15
19
19
18
28
16
23
13
normal score
-2.141198121
-1.660697611
-1.400745061
-1.211232131
-1.057414228
-0.92524456
-0.807541042
-0.700090213
-0.600178776
-0.505933654
-0.41598722
-0.329291347
-0.245006223
-0.162429373
-0.08094729
0
0.08094729
0.162429373
0.245006223
0.329291347
0.41598722
0.505933654
0.600178776
0.700090213
0.807541042
0.92524456
1.057414228
1.211232131
1.400745061
1.660697611
Transcribed Image Text:One way colleges measure success is by graduation rates. Let us investigate some variables that contribute
to this statistic for medium and large colleges in the United States by developing a useful linear regression
model to describe the relationship between the 2016 6-year graduation rate and four variables.
One possible model that will be considered is
y = x + ₁x₁ + ₂x₂ + B3x3 + 4x4 + e
where y is the 2016 6-year graduation rate, x₁ is the average high school GPA among college freshmen, X2
is the estimated median SAT among college freshmen, x3 is the full-time undergraduate student-to-faculty
ratio, x is the percentage of Pell Grant recipients among freshmen, and e is the random deviation
associated with each value of y. The random deviations are assumed to be normally distributed with a mean
value of 0 and constant variance of o².
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