For the ODE 2 dy + 3xy = e-1.5x dx y(0) = 3, estimate y(4) with a step size of 2 using a. Heun's Runge-Kutta 2nd order method b. Midpoint Runge-Kutta 2nd order method c. Ralston's Runge-Kutta 2nd order methodAthlete Contract Negotiations (regression tree). Casey Deesel is a sports agent negotiating a contract for Titus Johnston, an athlete in the National Football League (NFL). An important aspect of any NFL contract is the amount of guaranteed money over the life of the contract. Casey has gathered data on 506 NFL athletes who have recently signed new contracts. Each observation (NFL athlete ) includes values for percentage of his team's plays that the athlete is on the field (SnapPercent), the number of awards an athlete has received recognizing on-field performance (Awards), the number of games the athlete has missed due to injury (GamesMissed), and millions of dollars of guaranteed money in the athlete's most recent contract (Money, dependent variable).D Question 28 50 pts Regression 1) Regression Analysis: Concession1000 versus Attendee100 N-24 Model Summary 5 R-sq R-sqladj) R-sqlpred) 57.4275 0.05% 0.00% 0.00%% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 231.7 41.6 5.57 0.000 Attendee100 0.15 1.49 0.10 0.921 1.00 Durbin-Watson Statistic Durbin-Watson Statistic = 0.178614 Regression 2) Regression Analysis: Concession 1000 versus Attendee100, Time N-25 Model Summary R-sq R-sqladj) R-sqlpred) e e 9Choose the correct statement(s) about the Runge-Kutta method. (can choose more than one answer) * Runge-Kutta method is less accurate than Euler method. Runge-Kutta is a common method for solving differential equations numerically. Runge-Kutta method used four functions k1, k2 , k3 and k4 in its evaluation. It is used more accurately than the Euler method.The following equation is estimated, where you is also an explanatory variable and the following results are obtained: y, = 2.7 +0.4x, + 0.9y,-1 (0.4) (0.06) n=200, R? =0.98, and DW=1.9 a. What does the Durbin Watson statistic test? What assumptions are used to calculate the Durbin- Watson statistic? For a DW of 1.9, what does this imply about the regression equation? b. Irrespective of your answer in part (a), how would you correct for AR(1) in this model