Practice Problem

In a study determining a relationship between the maximum heart rate and age, laboratory tests were conducted to collect the maximum heart rate from 50 individuals. The data is provided in the following table.

Table 5

Functional Relationship between Age vs Maximum Heart-Rate Data

  1. Perform a suitable analysis to determine the functional relationship between the maximum heart rate and age.
  2. Perform the four steps of the statistical significance test for the functional relationship.
  3. Perform the practical significant test for the functional relationship, explain the results.
  4. Interpret the coefficients in the context of the problem.
  5. Perform the diagnostic analysis and explain in the context of the problem.
  6. Perform the lack-fit-test and explain in the context of the problem.