Question

1.   The following data indicate the mean oxygen consumption resulting from running at various steady state running speeds.  Graph the following data points using a computer graphics program such as EXCEL. (Put the independent variableon the x axis.  Make sure that you include a title and that the axes are labeled).  Include (attach) the graph.                                                                                                             

Velocity (m/min)	Oxygen Consumption (ml/kg/min)
224	49
221	49
157	37
245	53
208	46
180	41
207	46
212	47
260	54
262	55
180	41
315	64
236	50
240	52
250	52

      Write 1 sentence describing the relationship between these variables.           

10.  Using the graph you have constructed (#2 above) create a line of best fit and estimate (eyeball) a person’s  approximate oxygen consumption at the following steady state speeds: (Note: 1 mph is approx.. 26.8 m/min).  Show work on graph.                                                                                                                                                                                  

            a)  5.5 mph: _________________________          b) 195 m/min ___________________

c)   NOW…  Using the same data and graph you have constructed (#9 above) ask EXCEL to display the regression equation and copy it down.  y = _______ (x) + _______

  Using this equation determine the relative oxygen consumption (ml/kg/min) for a runner who runs three miles in 22 minutes and 30 seconds (i.e., 22.5 minutes)?  (Hint: first determine running velocity (m/min) this is x.  (Note: 1 mile = 1609 meters). Use equation: oxygen consumption (y)  = _______ (x) + _______ ).                         

Answer 1

Linear Graph of velocity vs oxygen consumption

Oxygen consumption depends on running velocity. If the velocity increases, the person consumes more amount of oxygen.

10. a) 5.5 mph:

1 mph = 26.8 m/min

Velocity 5.5 mph = 5.5 * 26.8 = 147.4 m/min

Based on graph, interpolate 147.4 on x-axis with the corresponding y- axis value

The oxygen consumption value = approximately 35.5 ml/kg/min

B) 195 m/min

Based on graph, interpolate 195 on x-axis with the corresponding y- axis value

The oxygen consumption value = approximately 44 ml/kg/min

Regression equation: y = 0.168x + 10.9

Distance covered in 22.5 minutes is 3 miles (3*1609 meters = 4827 m)

Velocity = Displacement/Time = 4827/22.5 = 214.5 m/min

Substitute this value in Regression equation y = 0.168x + 10.9

y = 0.168*214.5 + 10.9 = 36.03+10.9 = 46.93 ml/kg/min

Oxygen consumption = 46.93 ml/kg/min