Q2. A study investigates the effect of the number of hours of physical exercise per month, x, has on the score in a mental wellbeing test, y, for a number of patients suffering from depression. A scientist investigates the relationship between x and y, arguing that y depends on x, and obtains the measurements below: Y 15 18 30 33 45 40 60 49 75 74 90 82 a. Plot the data on a scatter diagram using the graph paper. b. Label both of your axes and provide a suitable graph title. [5] [2] c. Estimate the equation of the regression line relating the mental wellbeing test score, y, to the number of hours of physical exercise, X. [10] d. Superpose the regression line accurately on your diagram. [3] e. Use the regression line in order to estimate the mental wellbeing test score, y, for an individual who engages in 50 hours of physical exercise per month. [2]