Question 5 (a) Consider the results below obtained from a software, using the heights (HT in inches) and weights (WT in kg) of 40 randomly selected males: Pearson correlation of HT and WT = 0.522 P-Value = 0.001 The regression equation is: WT = - 69.5 + 2.275 HT A critical value of 0.312 may be used if need be. (i) Determine whether there is sufficient evidence to support a claim of a linear correlation between heights and weights of males. (ii) Determine the percentage of the variation in weights of males can be explained by the linear correlation between height and weight? (iii) Determine the best predicted weight of a male who is 72 inches tall. [3 * 2 marks](b) FOICDT students were randomly selected and asked to report the number of LinkedIn connections they have as well as their age. The students were divided into three groups: teenagers (under 20 years of age), 20- 29 years of age and 30-39 years of age, as in the table below: Teens 24 24 31 28 24 72 42 30 33 31 36 53 25 54 20's 58 28 131 33 34 48 31 45 60 14 51 60 18 124 30's 73 39 80 45 53 64 142 124 22 84 102 140 30 53 94 The summary sample statistics pertaining to your data samples are given below: Groups Count Average Variance Teens 15 535 35.67 194.2 20's 15 648 56.53 1087.8 30's 15 1145 76.33 1457.7 You are required to use a one-way analysis of variance (ANOVA) to test the claim that the mean number of LinkedIn connections is the same for all three populations. A critical value of 3.22 may be used. Show all your calculations. Page 9 of 8 CSE 1029Y-MATHEMATICS FOR INFORMATION SYSTEMS CSE1037Y- ANALYTICAL TECHNIQUES FOR INFORMATION SYSTEMS The following table may be used to present your results: Source of variation df 5S MS F FC Between age groups 3.22 Within age groups Total [14 marks] (Total: 20 Marks)