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

Respiratory Infection 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.

  1. Perform a thorough analysis of assumptions.
  2. 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.]
  3. Describe whether a significant relationship exists between the two variables.
  4. If a significant relationship exists between the two variables, then carefully (and thoroughly) describe that relationship.
  5. 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.]