Owings et al. (2002) examined how California Ground Squirrels (Spermophilus beecheyi) and Burrowing Owls (Athene cunicularia) exploited an understanding of the rattling sound of Rattlesnakes (Crotalus viridis). In one part of their study they examined the relationship betwen the weight (g) of the Rattlesnake and the peak frequency (kHz) of its rattle. They hypothesized that there would be a negative exponential relationship between how Rattlesnake weight affected the peak frequency. Data for this portion of their study are available in Rattlesnakess.csv (data, metadata). Use these data to examine the researcher’s hypothesis. In doing so, answer the following questions.
- Perform a thorough analysis of assumptions.
- If needed, transform the data to meet the assumptions. Describe your process and show that the assumptions are adequately met on the new scale. [I would start considering transformations from the perspective of the researcher’s hypothesis.]
- Describe whether a significant relationship exists between the two variables.
- If a significant relationship exists between the two variables, then carefully (and thoroughly) describe that relationship. [Make sure to include a plot that illustrates your description.]
- Demonstrate how your model can be used to predict the mean peak frequency of the rattle for Rattlsnakes that weighed 454 g.