a. Predict the maximal oxygen uptake for a person having a weight of 150 kg, an age of 20 years, a time to walk 1 mile of 17 minutes, and a heart rate of 140 beats per minute using the fitted first-order model. generate a 95% prediction interval for your prediction.

b. Predict the maximal oxygen uptake for a person having a weight of 150 kg, an age of 20 years, a time to walk 1 mile of 17 minutes, and a heart rate of 140 beats per minute using the fitted second-order model. generate a 95% prediction interval for your prediction

Subject	y	x1	x2	x3	x4
1	1.5	139.8	19.1	18.1	133.6
2	2.1	143.3	21.1	15.3	144.6
3	1.8	154.2	21.2	15.3	164.6
4	2.2	176.6	23.2	17.7	139.4
5	2.2	154.3	22.4	17.1	127.3
6	2.0	185.4	22.1	16.4	137.3
7	2.1	177.9	21.6	17.3	144.0
8	1.9	158.8	19.0	16.8	141.4
9	2.8	159.8	20.9	15.5	127.7
10	1.9	123.9	22.0	13.8	124.2
11	2.0	164.2	19.5	17.0	135.7
12	2.7	146.3	19.8	13.8	116.1
13	2.4	172.6	20.7	16.8	109.0
14	2.3	147.5	21.0	15.3	131.0
15	2.0	163.0	21.2	14.2	143.3
16	1.7	159.8	20.4	16.8	156.6
17	2.3	162.7	20.0	16.6	120.1
18	0.9	133.3	21.1	17.5	131.8
19	1.2	142.8	22.6	18.0	149.4
20	1.9	146.6	23.0	15.7	106.9
21	0.8	141.6	22.1	19.1	135.6
22	2.2	158.9	22.8	13.4	164.6
23	2.3	151.9	21.8	13.6	162.6
24	1.7	153.3	20.0	16.1	134.8
25	1.6	144.6	22.9	15.8	154.0
26	1.6	133.3	22.9	18.2	120.7
27	2.8	153.6	19.4	13.3	151.9
28	2.7	158.6	21.0	14.9	133.6
29	1.3	108.4	21.1	16.7	142.8
30	2.1	157.4	20.1	15.7	168.2
31	2.5	141.7	19.8	13.5	120.5
32	1.5	151.1	21.8	18.8	135.6
33	2.4	149.5	20.5	14.9	119.5
34	2.3	144.3	21.0	17.2	119.0
35	1.9	166.6	21.4	17.4	150.8
36	1.5	153.6	20.8	16.4	144.0
37	2.4	144.1	20.3	13.3	124.7
38	2.3	148.7	19.1	15.4	154.4
39	1.7	159.9	19.6	17.4	136.7
40	2.0	162.8	21.3	16.2	152.4
41	1.9	145.7	20.0	18.6	133.6
42	2.3	156.7	19.2	16.4	113.2
43	2.1	162.3	22.1	19.0	81.6
44	2.2	164.7	19.1	17.1	134.8
45	1.8	134.4	20.9	15.6	130.4
46	2.1	160.1	21.1	14.2	162.1
47	2.2	143.0	20.5	17.1	144.7
48	1.3	141.6	21.7	14.5	163.1
49	2.5	152.0	20.8	17.3	137.1
50	2.2	187.1	21.5	14.6	156.0
51	1.4	122.9	22.6	18.6	127.2
52	2.2	157.1	23.4	14.2	121.4
53	2.5	155.1	20.8	16.0	155.3
54	1.8	133.6	22.5	15.4	140.4