Data 1.5 Mile Run (n=29)

Xy

Time (min)VO₂Max(ml/kg.min)

8.159.2

8.260.0

9.049.7

9.559.9

9.851.2

10.048.5

10.349.5

10.549.5

10.950.0

11.047.5

11.140.0

11.945.1

12.044.0

12.349.1

12.450.0

12.540.0

12.640.0

12.543.0

13.038.8

13.140.0

13.832.0

13.936.1

14.539.8

14.838.1

15.037.5

15.530.0

15.932.0

16.830.0

17.324.5

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

b.According to the scatter plot, as the time 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 the 1.5 mile run? r= _______

g.Does the correlation coefficient, r, substantiate your conclusion above?_________

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

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

j.What is the slope of the line of fit(regression line)?______________________

k.What is the marginal change for the 1.5 mile run time to one ml/kg.min. versus maximal oxygen consumption?

l.If the 1.5 mile run time is 7 minutes, what is the amount of oxygen consumed?_____________, __________