1. Provide descriptive statistics for BMI_1 and BMI_2 for each of the four groups (A, B, C, D).
2. histograms for BMI_1 and BMI_2.
3. generate a new variableBMI_Diffand store in the absolute value of the difference between BMI_1 and BMI_2.
4. Provide exploratory data analysis for the change in BMI for subjects in each of the four groups. Calculate the pair-wise correlation between the groups.
5. Which exercise program was more effective in reducing BMI: the cardiovascular exercise or weight resistance training programs?

data:

id	Group	BMI_1	BMI_2	BMI_DIFF
1	A	27.5	27.9	0.4
2	A	29.2	29.4	0.2
3	A	28.7	29.6	0.9
4	A	26.3	27.5	1.2
5	A	28.2	29	0.8
6	A	25	24	1
7	A	27	26.1	0.9
8	A	28.1	26.6	1.5
9	A	27.8	27	0.8
10	A	27.5	27.5	0
11	A	27.8	28.3	0.5
12	A	28.7	30.1	1.4
13	A	27.7	27.5	0.2
14	A	28.1	27.7	0.4
15	A	27.3	26.3	1
16	A	27	27.2	0.2
17	A	26	25.3	0.7
18	A	26.5	26.6	0.1
19	A	28.5	28.3	0.2
20	A	28.3	28.1	0.2
21	A	26.1	27	0.9
22	A	27.1	25.9	1.2
23	A	27.5	27.7	0.2
24	A	27.2	26.6	0.6
25	A	25.8	27.4	1.6
26	A	26.1	26.5	0.4
27	A	27.2	26.5	0.7
28	A	28	28.1	0.1
29	A	27.9	26.6	1.3
30	A	27.3	26.9	0.4
31	A	28.5	27.3	1.2
32	A	28.1	27.1	1
33	A	29.3	28.1	1.2
34	A	27.9	27.3	0.6
35	A	25.9	25.1	0.8
36	A	26.8	27.2	0.4
37	A	26.6	25.6	1
38	A	27.1	28.2	1.1
39	A	27.6	27	0.6
40	A	27.8	28	0.2
41	A	28.2	27.6	0.6
42	A	26.6	26.2	0.4
43	A	29	29.6	0.6
44	A	26.6	28.1	1.5
45	A	28.4	28.6	0.2
46	A	27.7	28.5	0.8
47	A	28.8	27.1	1.7
48	A	28.2	26.7	1.5
49	A	27.6	27.9	0.3
50	A	27	26.2	0.8
51	A	26.1	25.9	0.2
52	A	26.2	26.9	0.7
53	A	29	28.5	0.5
54	A	28	28.1	0.1
55	B	29.3	28.6	0.7
56	B	26.7	26.3	0.4
57	B	27.4	26.6	0.8
58	B	28	27.7	0.3
59	B	26.2	25.1	1.1
60	B	27.8	27.1	0.7
61	B	29.6	29	0.6
62	B	28.4	27.5	0.9
63	B	26.4	25.6	0.8
64	B	27.2	26.5	0.7
65	B	27.8	27.7	0.1
66	B	26.7	26.3	0.4
67	B	27.4	26.7	0.7
68	B	28.6	28.3	0.3
69	B	25.6	25.2	0.4
70	B	28	27.4	0.6
71	B	27.2	26.6	0.6
72	B	26.4	25.4	1
73	B	25.3	24.2	1.1
74	B	26.8	26.1	0.7
75	B	28	26.9	1.1
76	B	28.6	28.3	0.3
77	B	27.8	27.1	0.7
78	B	26.9	26	0.9
79	B	26.7	26.3	0.4
80	B	28.8	28.8	0
81	B	27.2	26.6	0.6
82	B	27.1	26.4	0.7
83	B	27.4	26.6	0.8
84	B	26	25.4	0.6
85	B	26.9	26.3	0.6
86	B	28.1	28.2	0.1
87	B	25.7	25.4	0.3
88	B	26.5	26.4	0.1
89	B	26.3	25.5	0.8
90	B	29	29	0
91	B	28.7	27.9	0.8
92	B	27.9	26.8	1.1
93	B	29.5	29.1	0.4
94	B	27.4	26.5	0.9
95	B	25.7	24.6	1.1
96	B	26.6	26	0.6
97	B	26.6	26.2	0.4
98	B	27.7	26.2	1.5
99	B	27.8	26.8	1
100	B	27.5	26.9	0.6
101	B	28.3	27.9	0.4
102	B	28.5	28	0.5
103	B	27.5	26.7	0.8
104	B	28.9	28.4	0.5
105	B	28.7	28.5	0.2
106	B	27.2	26.2	1
107	B	27.9	27.1	0.8
108	B	27.8	26.7	1.1
109	B	26.8	25.8	1
110	B	27.6	27.3	0.3
111	C	27.7	27.6	0.1
112	C	27.3	26.7	0.6
113	C	27.1	26.6	0.5
114	C	27.9	27.2	0.7
115	C	26.9	27.3	0.4
116	C	29.2	29.6	0.4
117	C	27.5	26.6	0.9
118	C	27.6	27.1	0.5
119	C	26.9	26.2	0.7
120	C	27.4	27.6	0.2
121	C	27.8	27.8	0
122	C	28.6	28.8	0.2
123	C	27.6	26.5	1.1
124	C	26.9	26.9	0
125	C	29.6	28.9	0.7
126	C	26.8	26.5	0.3
127	C	27	27.1	0.1
128	C	27.1	26.1	1
129	C	27.4	27	0.4
130	C	27.3	27	0.3
131	C	27.7	27.5	0.2
132	C	29	28.4	0.6
133	C	26.5	25.8	0.7
134	C	28.7	28.5	0.2
135	C	29.3	28.5	0.8
136	C	27.5	27.1	0.4
137	C	28	27.4	0.6
138	C	26	26	0
139	C	26.9	27.5	0.6
140	C	27.6	27.6	0
141	C	27.4	27.4	0
142	C	28.3	27.6	0.7
143	C	27	26.9	0.1
144	C	28.9	28.7	0.2
145	C	26.4	26.2	0.2
146	C	28.1	27.5	0.6
147	C	28.5	28	0.5
148	C	26.3	25.3	1
149	C	27.5	27.1	0.4
150	C	27.8	26.6	1.2
151	C	28.3	27.6	0.7
152	C	26.8	26.6	0.2
153	C	29	29.1	0.1
154	C	26.3	25.6	0.7
155	C	28.5	28	0.5
156	C	27.2	27.5	0.3
157	C	28.1	28.2	0.1
158	C	27.7	27.1	0.6
159	C	26.2	25.9	0.3
160	C	27.3	27.6	0.3
161	C	27.5	27.2	0.3
162	D	28.7	27.8	0.9
163	D	27.8	26.7	1.1
164	D	27.9	27.6	0.3
165	D	28.7	27.8	0.9
166	D	26.1	25.9	0.2
167	D	27.5	27.1	0.4
168	D	26.6	25.3	1.3
169	D	27.7	28.1	0.4
170	D	28.3	27	1.3
171	D	27.3	26.7	0.6
172	D	28.4	27.7	0.7
173	D	26.7	26.6	0.1
174	D	27.7	26.8	0.9
175	D	26.7	26.3	0.4
176	D	27.9	26.6	1.3
177	D	29.7	29.8	0.1
178	D	27.6	26.4	1.2
179	D	25.8	24.8	1
180	D	26.6	25.4	1.2
181	D	28.2	27.6	0.6
182	D	29.2	28.2	1
183	D	28.3	27.4	0.9
184	D	27.9	27.7	0.2
185	D	27.2	26.5	0.7
186	D	25	24.6	0.4
187	D	27.5	26.7	0.8
188	D	26.7	25.8	0.9
189	D	27.1	26.6	0.5
190	D	28	27.7	0.3
191	D	27	26.7	0.3
192	D	27	26.2	0.8
193	D	28.6	28.5	0.1
194	D	27.8	27.4	0.4
195	D	26.1	25.3	0.8
196	D	28.2	27.5	0.7
197	D	25.7	25.8	0.1
198	D	26.3	25.3	1
199	D	29.3	28.4	0.9
200	D	27.6	26.9	0.7
201	D	27.5	27.6	0.1
202	D	28.6	28.1	0.5
203	D	26.3	26	0.3
204	D	27.9	28.1	0.2
205	D	25.5	25.5	0
206	D	28.5	28.2	0.3
207	D	28	27.5	0.5
208	D	26	25.8	0.2
209	D	27.9	27.3	0.6
210	D	27.1	25.9	1.2
211	D	26.5	25.8	0.7
212	D	26.8	25.9	0.9
213	D	27.3	27.2	0.1
214	D	25.6	25.1	0.5
215	D	25.5	24.6	0.9
216	D	28.5	28.2	0.3