Question

Oxygen	BMI	Age	Rest Pulse	Run Pulse	Max Pulse	Run Time One Mile	Rankings
47.01	23.91	43	61	170	190	8.1	1438
54.37	24.99	45	46	157	169	6.22	618
59.73	25.11662	44	39	165	173	5.626667	277
50.31	26.25858	39	56	179	181	6.326667	559
45.17	24.5392	48	59	177	177	8.32	4000
45.93	24.99592	41	71	177	181	7.993333	2961
49.14	25.10494	44	65	163	171	7.346667	1551
40.25	23.73396	45	64	176	177	9.1	8955
60.42	24.90943	39	49	171	187	6.246667	516
51.52	24.73187	45	46	169	169	7.153333	1278
37.93	23.93121	46	57	187	193	9.506667	13449
44.78	23.97361	46	52	177	177	7.766667	2360
48.13	26.22539	48	48	163	165	7.506667	1820
52.85	25.25057	55	51	167	171	6.893333	985
49.95	26.80163	50	45	181	186	8.1	551
41.04	26.29004	52	58	169	173	7.76	2344
47.27	24.21605	52	49	163	169	7.086667	1195
47.04	26.74587	49	49	163	165	6.933333	1025
51.36	24.24693	50	68	169	169	7.026667	1126
40.07	25.69204	58	59	175	177	8.726667	6165
46.08	24.28803	55	63	157	166	7.64	2079
46.35	24.46296	53	49	165	167	7.3	710
55.13	26.29201	51	49	147	156	6.466667	643
46.09	24.51372	52	49	173	173	7.813333	2473
39.88	25.96763	55	45	169	173	9.193333	9831
45.85	25.42663	52	60	187	189	7.42	1669
50.95	20.49481	58	50	149	156	6.686667	801
48.74	24.67682	50	57	187	189	6.373333	586
48.12	23.38058	49	53	171	177	8.2	2751
48.17	24.44704	53	54	171	173	9.3	1881

Age	BMI	Oxygen	RunTime	RestPulse	RunPulse	MaxPulse	Ranking
58	23	-	11	61	135	153	1200

Can the model you built earlier be used to estimate the oxygen consumption for subjects whose RunTime is 18, RestPulse is 80, RunPulse is 100, MaxPulse is 100, or Ranking is 15,000? Please answer yes or no and explain your answer. If your answer is “yes”, what would be your estimated average oxygen consumption for this type of subjects?

Answer 1

Solution:

We cannot use the regression model based on given data for the estimation of oxygen consumption for the subjects whose RunTime is 18, RestPulse is 80, RunPulse is 100, MaxPulse is 100, and Ranking is 15,000; because maximum value for ranking is given as 13449 and estimation of oxygen consumption for ranking of 15000 would be overestimation. Also, variable rest pulse have the range between 39 to 71, and use of rest pulse of 80 in regression model would be overestimation. The range for max pulse is given as 156 to 193, while use of value for max pulse as 100 would be underestimation for the oxygen consumption. Due to these reasons we could not use this regression model for the prediction of oxygen consumption.

Descriptive statistics and regression model for more detail is given as below: