Question 3

Nutrition and sports experts concern themselves with a person's percentage of total body weight made up of fat. A sport researcher interested to know if height is related to body fat percentage. He collected a data from 10 football players as shown in Table 3.

Table 3:

Player	Height (cm)	Body Fat (%)
1 2 3 4 5 6 7 8 9 10	171 182 169 185 182 177 175 171 175 172	13.3 7.1 26.3 11.4 30.7 22.9 17.2 13.4 5.1 13.7

a) Calculate the Pearson correlation coefficient between height and body fat. b) Test whether there exist correlation between height and body fat using = 0.05. c) Based on your answer in (a) and (b), comment the overall relationship between height and body fat.