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

## Respiratory Rate of Children

A high respiratory rate is a potential diagnostic indicator of respiratory infection in children. To judge whether a respiratory rate is truly “high,” however, a physician must have a clear picture of the distribution of normal respiratory rates. To this end, Rusconi *et al.* (1994) measured the respiratory rates of 618 children between the ages of 4 days and 3 years. The data are in Rusconi.csv (download, meta) with the variables *Age*= “age of children **in months**” and *Rate*= “respiratory rate in breaths per minute.” Use these data to answer the following questions.

- Perform a thorough analysis of assumptions.
- If needed, transform the data to meet the assumptions are met. Describe your process and show that the assumptions are adequately met on the new scale. [
*Note: Attempt to find a simple scale where most of the assumptions are at least closely met. The ideal analysis for these data is a combination of transformation and polynomial regression – you do not have to do the polynomial regression.*] - 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.
- Demonstrate how your model can be used to predict the respiratory rate for a child given an age of your choosing. [
*Note: Make sure to interpret the interval on the scale of interest to the doctors.*]