**Note**Your answers to the questions below should follow the expectations for homework found here. Due date is on the Dates page.

## Moose Calf Production

Lowe and Aderman (2014) examined the population dynamics of Moose (*Alces alces*) in the Togiak National Wildlife Refuge. In one portion of this study they examined the impacts of capture and fitting with a radio-telemtry collar on the ability of female Moose to produce at least one calf. To examine this they radio collared a number of Moose and recorded whether they produced calves or not. They did the same for a number of Moose that were not radio collared. Their results are recorded in this Excel file (note that you will need to save this as a CSV). Use these data to see if whether a female Moose (regardless of whether the Moose was collared or not) produces at least one calf (or not) is related to the age of the Moose.

- Comment on the adequacy of fit of this logistic regression model (i.e., from a
`fitPlot()`

). [*Note: Make sure that you use enough breaks to adequately characterize the change in proportions.*] - Interpret the meaning of the slope (β
_{1}) from the fitted logistic regression model. - Interpret the meaning of the “back-transformed” slope from the fitted logistic regression model.
- Show (“by hand”) how to predict the log odds of having at least one calf if the female moose is 10-years-old. [
*Note: You can show this work in a hand-written appendix*] - Confirm your hand-calculations to the previous question with R output.
- Show (“by hand”) how to predict the odds that a 10-year-old female Moose will have at least one calf.
- Show (“by hand”) how to predict the probability that a 10-year-old female Moose will have at least one calf.
- Confirm your hand-calculations to the previous question with R output.
- Use R to predict the probability that a 11-year-old female Moose will have at least one calf. Then show (“by hand”) how to compute the odds that an 11-year-old female Moose will have at least one calf.
- Use the results from the previous questions for 10- and 11-year-old Mooses to show the meaning of the “back-transformed” slope.