R2.51 Penguins again In Chapter 8 we learned about the extra- ordinary 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: LDHR Resid Response variable is: LogHeartRate R squared = 79.5% s = 0.0869 0.0 Variable Intercept -0.2 Duration(min) Depth (m) 0.2- 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: Coefficient 1.99213 -0.04510 0.000887 0 Duration (min) Resid b) Based on this plot, do you think the coefficient of Dura- tion is a good estimate of the relationship of Duration to (log) Heart rate in these penguins? Explain.
R2.51 Penguins again In Chapter 8 we learned about the extra- ordinary 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: LDHR Resid Response variable is: LogHeartRate R squared = 79.5% s = 0.0869 0.0 Variable Intercept -0.2 Duration(min) Depth (m) 0.2- 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: Coefficient 1.99213 -0.04510 0.000887 0 Duration (min) Resid b) Based on this plot, do you think the coefficient of Dura- tion is a good estimate of the relationship of Duration to (log) Heart rate in these penguins? Explain.
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:R2.51 Penguins again In Chapter 8 we learned about the extra-
ordinary 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:
LDHR Resid
0.2
Response variable is: LogHeartRate
R squared = 79.5% s = 0.0869
Variable
Intercept
-0.2
Duration(min)
Depth (m)
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:
0.0-
Coefficient
1.99213
-0.04510
0.000887
Duration (min) Resid
b) Based on this plot, do you think the coefficient of Dura-
tion is a good estimate of the relationship of Duration to
(log) Heart rate in these penguins? Explain.
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