The following table shows the hand lengths and the heights of five athletes on a sports team. Hand length (x cm) 21.0 21.9 21.0 20.3 20.8 Height (y cm) 178.3 185.0 177.1 169.0 174.6 The relationship between x and y can be modelled by the regression line with equation y = ax + b. (a.i) Find the value of a and of b. (a.ii) Write down the correlation coefficient. (b) Another athlete on this sports team has a hand length of 21.5 cm. Use the regression equation to estimate the height of this athlete. [3] [1] N