QUESTION 3 Nutrition and sports experts concern themselves with a person's percentage of total body weight made up of fat. A sports researcher is interested to know if height is related to body fat percentage. He collected data from 12 football players as shown in table 3. Table 3 Player Height (cm) Body Fat (%) 1 172 12.3 183 6.1 168 25.3 183 10.4 5 180 28.7 179 20.9 177 19.2 174 12.4 177 4.1 10 176 11.7 11 179 7.1 12 183 7.8 a) Calculate the Pearson correlation coefficient between height and body fat. b) Test whether there exists correlation between height and body fat using a = 0.05. c) Based on your answers in (a) and (b), comment the overall relationship between height and body fat. [Total: 20 / 60 marks]