Use your data and the equation $=$ln$+$y$=$lnb$+$x from Exercise $81$a to determine the values of $$ and $$b for your model $($follow the steps outlined in Exercise $81$b from Section $14\mathrm{.}1).$ You will need to define your two independent variables. You might find it helpful to organize your data in Microsoft Excel and then use the built$-$in $$Trendline$$ tool for this step.

Write the CDPF for your set of data using your values for $$ and $$b$.$

Evaluate each of your $$L and $$K data points with your CDPF $($this can be done in Microsoft Excel$).$ Explain how accurately your CDPF models your set of data.

In a few sentences describe what the partial derivatives of $$P and $$P will represent when evaluated at a point in the domain of $$P$.$ How might a team manager use what they represent to help improve their teams success in an upcoming season?