In Chapter 8 we learned about the extraordinary depth and duration of the dives taken by penguins. In that chapter we modeled a re-expression of Heart rate with the Duration (min) of dives. The data also include the depth of each dive. Here is an analysis that incorporates both variables:

a) What is an appropriate interpretation of the coefficient of Duration in this regression? Here is a partial regression plot for the coefficient of Duration:

b) Based on this plot, do you think the coefficient of Duration is a good estimate of the relationship of Duration to (log) Heart rate in these penguins?

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Response variable is: LogHeartRate R squared = 79.5% s = 0.0869 Variable Intercept Duration(min) Depth (m) Coefficient 1.99213 -0.04510 0.000887