2. What is autocorrelation? 3. Give the Durbin Watson statistic. 4. What is the null hypothesis of the Durbin Watson Statistic? 5. At what level would the Durbin Watson be inconclusive?dy dx y(0) = 1 a) (5pts) Determine the solution of the above equation analytically b) (20 pts) Use Runge-Kutta second order Heun's method to solve the given equation over the interval [0, 12] with step size of h = 2 3 I X2 x2 S U a) y = b) Runge kutta Xi Yi ( True Value) Yi ( Runge Kutta) ErrorMultiple Choice The rpart() function in R, A fits a regression tree using recursive partitioning B fits multiple regressions in local neighborhood C fits a regression tree using bootstrap aggregation D fits a non linear regression in local neighborhood SUBMIT I Multiple Choice In regression trees, A the predictor space will not be splitted into sub regions B a single predictive model explains the entire predictor space C the predictor space is recursively partitioned, and the average response value of each partition is used as the model estimate D the predictor space is recursively partitioned, and will be fitted a linear model for each partition SUBMITSelect all strategies that you can use to improve the solution of a first order ordinary differential equation, starting from a base case of Euler's method: Use fourth order Runge Kutta method Use Heun's method Use second order Runge Kutta method O Increase the step size Use first order Runge Kutta method O Decrease the step size