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home / study / math / statistics and probability / statistics and probability questions and answers / air force servicemen and servicewomen were tested for maximal oxygen use in a 12 min distance ...

Question: Air Force servicemen and servicewomen were tested for maximal oxygen use in a 12 min distance run...

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.  

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

a. What is the correlation coefficient, r, for 12 min. distance run? r= _______
b. Write the equation of the least-squares line( line of fit). ______________________________________
c. What is the marginal change for the 1 min of distance to one ml/kg.min. of oxygen consumption?
d. If the 12 min distance is 2.3 miles, what is the amount of oxygen consumed?

Please do the hypothesis test on this as well. Thank you

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