Refer to the Journal of Education and Human Development (Vol. 3, 2009) study of the eating patterns of families of overweight preschool children, Exercise 12.68 (p. 694). The body mass index for each in a sample of 10 overweight children and their parents were determined. These data are reproduced in the next table.

Based on Seal, N., and Seal, J. "Eating patterns of the rural families of overweight preschool children: A pilot study." Journal of Education and Human Development, Vol. No. 1, 2009 (Figure 1).
a. Demonstrate that the rank correlation between the BMI values in the sample is rs = 1.
b. Interpret the result, part a.
c. Why should a researcher avoid concluding that there is a perfect linear relationship between BMI values in overweight children and their parents?

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Child Parent 17.10 24.62 24.70 25.70 17.15 17.20 17.24 17.25 25.80 26.20 17.30 26.30 26.60 17.32 17.40 26.80 17.60 27.20 27.35 17.80