The following are the numbers of hours a runner has run duri

The following are the numbers of hours a runner has run during each of and the corresponding times in which she ran a mile at the end of the week Find the equation of the least-squares line that will allow us to Predict the runner\'s time for the mile from the number of hours that she ran that week. Use the equation obtained in part (a) to predict how fast she will run the end of a week in which she ran for 18 hours.

Solution

a)

If

x = hours run
y = time of mile

Then using technology, we get              
              
slope =    -0.079197995          
intercept =    6.226065163          
              
Thus, the regression line is              
              
y^ =    -0.079197995   x   +   6.226065163 [ANSWER]

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b)

Thus, if x =    18  
      
Then      
      
y^ =    4.800501253 minutes   [ANSWER]