Matthew used the data to calculate the equation of the regression line y on r as y - 0.4585 - 5.76 Matthew used this equation to estimate the number of Shakespearean plays a 65 year old audience attendee would have previously watched. (f) (i) Determine Matthew's estimate. (ii) State whether it is valid to use the line of regression equation for this estimate. Give a reason for your answer. [4] Matthew, an avid Shakespearean fan, wants to understand if there is a relationship between his favourite Shakespearean plays and their length, measured by total run time in minutes. He creates a table, shown below, and ranks 8 Shakespearean plays (A-H), their run time length, and his rating out of all the Shakespearean plays he has seen (1 being his favourite). Performance A B C D E F G H Length (1) 242 112 193 168 205 132 105 125 Rating (t) 2 6 7 19 10 12 15 For this analysis, Matthew uses the Spearman's rank correlation coefficient, r, to understand the relationship between the variables. A rank table is created. I Performance A B C D E F G H Rank - Length 6 Rank - Rating 8 (g) Copy and complete the rank table. [2] (h) (i) Calculate the value of T. (ii) Interpret the result. [3]