Select the data for one of the three colleges Reduce the dimensionality of the data by converting numerical variables such as high school GPAs, college GPAs, SAT scores, and ACT scores into a smaller set of principal components that retain at least 90 of the information in the original data Applicant Edu Parent1 Edu Parent2 Gender White Asian HSGPA SAT ACT College Admitted Enrolled College GPA 1 4 4 M 0 1 4 08 1460 Business Economics Yes No 2 3 3 F 0 0 3 59 1180 Math Science No No 3 7 7 M 1 0 4 25 1340 Arts Letters Yes No 4 6 6 M 0 1 3 00 1190 Business Economics No No 5 6 7 F 1 0 3 90 1290 Business Economics No No 6 1 2 F 0 0 3 36 1090 Arts Letters No No 7 6 6 F 1 0 4 26 1430 Math Science Yes Yes 3 956 8 7 6 F 1 0 4 32 1240 Math Science Yes No 9 7 6 F 1 0 3 41 1230 Arts Letters No No 10 6 6 M 0 1 3 75 1510 Arts Letters Yes No 11 7 7 M 1 0 2 62 1330 Arts Letters No No 12 7 7 M 1 0 2 46 1170 Arts Letters No No 13 4 6 F 1 0 3 83 1210 Business Economics No No 14 6 6 M 0 0 3 88 1340 Business Economics Yes No 15 7 6 M 1 0 3 21 1190 Math Science No No 16 7 7 M 1 0 3 62 1460 Business Economics Yes No 17 7 7 M 0 0 3 72 1270 Arts Letters No No 18 7 7 M 1 0 4 12 1460 Math Science Yes No 19 6 6 F 0 0 3 11 930 Arts Letters No No 20 1 1 M 0 0 3 11 880 Math Science No No 21 7 6 M 1 0 4 25 1560 Business Economics Yes No 22 7 7 M 1 0 3 23 1510 Math Science No No 23 3 3 M 0 0 3 67 1430 Math Science Yes No 24 6 6 M 1 0 3 52 1450 Math Science Yes No 25 4 7 M 0 0 3 60 1040 Arts Letters No No 26 5 5 F 1 0 3 88 1220 Arts Letters No No 27 6 7 F 0 1 4 05 1360 Arts Letters Yes No 28 6 7 M 1 0 4 06 1220 Business Economics No No 29 7 6 M 1 0 3 95 1340 Math Science Yes Yes 3 361

Question: Select the data for one of the three colleges. Reduce the dimensionality of the data by converting numerical variables such as high school GPAs, college

Select the data for one of the three colleges. Reduce the dimensionality of the data by converting numerical variables such as high school GPAs, college GPAs, SAT scores, and ACT scores into a smaller set of principal components that retain at least 90% of the information in the original data.

Applicant	Edu_Parent1	Edu_Parent2	Gender	White	Asian	HSGPA	SAT/ACT	College	Admitted	Enrolled	College_GPA
1	4	4	M	0	1	4.08	1460	Business & Economics	Yes	No
2	3	3	F	0	0	3.59	1180	Math & Science	No	No
3	7	7	M	1	0	4.25	1340	Arts & Letters	Yes	No
4	6	6	M	0	1	3.00	1190	Business & Economics	No	No
5	6	7	F	1	0	3.90	1290	Business & Economics	No	No
6	1	2	F	0	0	3.36	1090	Arts & Letters	No	No
7	6	6	F	1	0	4.26	1430	Math & Science	Yes	Yes	3.956
8	7	6	F	1	0	4.32	1240	Math & Science	Yes	No
9	7	6	F	1	0	3.41	1230	Arts & Letters	No	No
10	6	6	M	0	1	3.75	1510	Arts & Letters	Yes	No
11	7	7	M	1	0	2.62	1330	Arts & Letters	No	No
12	7	7	M	1	0	2.46	1170	Arts & Letters	No	No
13	4	6	F	1	0	3.83	1210	Business & Economics	No	No
14	6	6	M	0	0	3.88	1340	Business & Economics	Yes	No
15	7	6	M	1	0	3.21	1190	Math & Science	No	No
16	7	7	M	1	0	3.62	1460	Business & Economics	Yes	No
17	7	7	M	0	0	3.72	1270	Arts & Letters	No	No
18	7	7	M	1	0	4.12	1460	Math & Science	Yes	No
19	6	6	F	0	0	3.11	930	Arts & Letters	No	No
20	1	1	M	0	0	3.11	880	Math & Science	No	No
21	7	6	M	1	0	4.25	1560	Business & Economics	Yes	No
22	7	7	M	1	0	3.23	1510	Math & Science	No	No
23	3	3	M	0	0	3.67	1430	Math & Science	Yes	No
24	6	6	M	1	0	3.52	1450	Math & Science	Yes	No
25	4	7	M	0	0	3.60	1040	Arts & Letters	No	No
26	5	5	F	1	0	3.88	1220	Arts & Letters	No	No
27	6	7	F	0	1	4.05	1360	Arts & Letters	Yes	No
28	6	7	M	1	0	4.06	1220	Business & Economics	No	No
29	7	6	M	1	0	3.95	1340	Math & Science	Yes	Yes	3.361

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