2. [Maximum mark: 5] The following table shows the average weights (y kg) for given heights (x cm) in a population of men. Heights (x cm) 165 170 175 180 185 Weights (y kg) 67.8 70.0 72.7 75.5 77.2 (a) Let Ly be the regression line of y on x. The equation of the line L, can be written in the form y = ax + b. Find the values of a and the values of b. [2] (b) i. Write down the correlation coefficient. [1] ii. State which two of the following describe the correlation between the variables. [2] STRONG ZERO POSITIVE NEGATIVE NO CORRELATION WEAK