Data12 Min Distance (n=25)

xy

MilesVO₂Max(ml/kg.min)

1.123.2

1.1530.0

1.230.0

1.1532.5

1.2536.3

1.2637.0

1.2840.0

1.3132.3

1.335.0

1.3840.0

1.445.1

1.4347.5

1.4550.0

1.546.2

1.641.0

1.6546.4

1.6749.0

1.6750.0

1.748.0

1.847.5

1.8551.5

1.959.8

2.049.8

2.1560.0

2.259.0

a.Make a scatter diagram for these pairs of data.Sketch below.

b.According to the scatter plot, as the distance increases, what happens to the oxygen consumed? _________

c.Does this indicate a positive or negative correlation?________________

d.Complete the steps to find the correlation coefficient, the line of fit and the values for the linear regression equation.

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

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

g.What does the r value tell you about the data values x and y? ___________________________________

h.Does the correlation coefficient, r, substantiate your conclusion above? ___________

i.Write the equation of the least-squares line( line of fit).______________________________________

j.What is the slope of the line of fit?_____________________

k.What is the marginal change for the 1 min of distance to one ml/kg.min. of oxygen consumption?

l.If the 12 min distance is 2.3 miles, what is the amount of oxygen consumed?