l. Computation. Read and analyze the given statement in each item. Calculate the correlation coefficient and identify the strength of correlation between the two (2) given variables. (4 items x 15 points) 1. Janice and Paul did a study on feelings of stress and life satisfaction. Participants completed a measure on how stressed they were feeling (on a 1 to 30 scale) and a measure of how satisfied they felt with their lives (measured on a 1 to 10 scale). The table below indicates the participants' scores. Using this data, calculate the Pearson's correlation coefficient and identify the strength of correlation between the given variables. (15 points). Participant # Stress score (X) Life Satisfaction (Y) 11 7 25 19 7 23 6 11 22 25 10 159 51 Mean 15.9 5.1 SD 7.23 2.70 2. At Hogwarts School of Witchcraft and Wizardry, students often have a lot of homework. The table below indicates the number of hours students studied, and how they performed on an exam in two of their classes. Find the correlations between hours spent studying and how students performed in their (a) potions and (b) defense against the dark arts classes. (30 points). Student Defense against the Potions dark arts study exam study exam hours score hours score 3 75 4 70 15 95 12 98 6 65 9 85 VaUAWNH 8 70 6 80 4 85 65 2 80 3 75 10 65 10 92 Mean 6.86 76.43 6.57 80.71 SD 4.22 10.25 3.54 10.95 3. Suppose we have ranks of 8 students of B.Sc. in Statistics and Mathematics. On the basis of rank, we would like to know that to what extent the knowledge of the student in Statistics and Mathematics is related. Calculate the Spearman's rank correlation coefficient and identify the strength of correlation between the two (2) variables given below. (15 points) Rank in Statistics 2 3 4 5 6 7 8 Rank in Mathematics 2 4 5 3 6