Consider the following dataset. S.No Y X 1.00 40.0 11.1 0 0 2.00 76.0 15.7 0 2 3.00 61.0 12.0 0 5 4.00 89.0 22.2 0 6 5.00 44.0 12.6 0 9 Determine the following: a. Make a scatter diagram between the variables Y and X b. Find correlation coefficient between the variables Y and X. Show all calculations. c. Make linear model equation (regression equation) with Y as the output variable and X as the input variable. Show all calculation for slope and intercept. d. What are the characteristics of the straight line modeled in part c. e. Show all the models of Y on the scatter diagram