Question

Air Force servicemen and servicewomen were tested for maximal oxygen use in a 12 min distance run versus a 1.5 mile run. The participant runs on a level terrain for the prescribed distance. The technicians records the participant’s time to the closet second, the heart rate for 15 s immediately after the participant crosses the finish line and then estimate the VO2 max consumption using a Wilmore and Bergfeld fitness table. Below is listed the data for both the 12 min and the 1.5 mile run with the corresponding VO2 maximum oxygen levels

Data 12 Min Distance (n=25)
x	y
Miles	VO2Max(ml/kg.min)
1.1	23.2
1.15	30
1.2	30
1.15	32.5
1.25	36.3
1.26	37
1.28	40
1.31	32.3
1.3	35
1.38	40
1.4	45.1
1.43	47.5
1.45	50
1.5	46.2
1.6	41
1.65	46.4
1.67	49
1.67	50
1.7	48
1.8	47.5
1.85	51.5
1.9	59.8
2	49.8
2.15	60
2.2	59

Data Two: 12 Min distance vs. VO2 Consumed

5. Does the line of fit, fit reasonably well? ________________

6. What is the correlation coefficient, r, for 12 min. distance run? r= _______

7. What does the r value tell you about the data values x and y? ____________________

8. Does the correlation coefficient, r, substantiate your conclusion above? ___

Answer 1

Observation table : (Li-y 12 #ixli (æi-212 xi miles yi VO2 max (milag min 23.2 2552 34.5 1.15 2 30 36 o 1884 o.1475 01156 o 1476 0807 0075) 115 32.5 37.375 1:25 36 3 us.375 37 46.62 1.26 1.28 51:2 0.06 45 32.3 0 0 502 42.313 us. 5 411 4407 181.8183 181-8183 1206483 sl. Gogg u 2-04 2 12.1383 125.0819 71.9783 12-1383 2.6115 16.1283 42-4583 7-3767 6.1703 13 35 oo 548 1-38 55.2 O 0237 uo us 1 63.14 O-0179 0.0108 4.5 1.43 lus 67.925 72.5 50 0.0071 46.2 69.3 oooll ooouu ul 65.6 1-65 u 6.4 76.56 0.0135 167 49 0.0185 81-83 83.5 56 0185 1.67 1-7 8 1-6 0276 47.5 51.5 85.5 92.275 o.6708 O999 o 1339 8.50 31 30.4263 42.4583 20.3943 16.1283 64.2563 266 2119 39.8919 272.7783 2uo.7463 19 113.62 2 49.8 99.6 0-2172 2.15 Go 129 2.2 59 129.8 1734.353 0.3795 0.9436 2.4078 38 35 1087.) 22072536 CS Scanned with CamScanner

1.534 1 Now a = 1 Epiz tost 38. 35 25 1087.1 43.484 Z Li= y = n 25 2 963 3 2 O var(x) = Ge = Elxi-2) ? 2.4078 25 6x = 0.3103 2 g1.ugol varly by i El Li-y2=2287.2536 h 25 g. 5 6 50 Gy= CovcxY) = {xilia aê n 17 34-353 (1534uz-usu) 25 2.6697 :: correlation coefficient r for min distance run is r= COVcxY) 2.6697 0.8994 Go by 0.0103 x 2.6692 Here are the same then miles and Voo consumed positively comeldded corelated i e, change of miles and consumed are in direction As miles increases Voz consumtion also increases Now coefficient of determination = r² = (0.8994)2=0.8089 Hence there is 80.89 % variability in a voz consumtion with respect to miles Hence the given line of fit is very well to predict the NO2 consumtion. a CS Scanned with CamScanner