select the correct answer

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?The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected. The shelf space (X) and sales for the week in dollars (Y) are observed. a. Is it necessary to compute the Durbin-Watson statistic in this case? Explain. b. Under what circumstances is it necessary to compute the Durbin-Watson statistic before proceeding with the least-squares method of regression analysis? a. Select the correct answer below. OA. Yes, because the number of observations is sufficiently small that autocorrelation is a concern. OB. No, because the number of observations is sufficiently small that autocorrelation is not a concern. Oc. No, because the data were not collected over time. OD. Yes, it is always necessary to compute the Durbin-Watson statistic. b. Select the correct answer below. OA. If a single store had been selected and studied over a period of time, it would be necessary to compute the Durbin-Watson statistic. OB. If fewer stores had been selected, it would be necessary to compute the Durbin-Watson statistic. Oc. If a larger number of stores had been selected, it would be necessary to compute the Durbin-Watson statistic. OD. It is always necessary to compute the Durbin-Watson statistic.Notation and Important Facts In this assignment, birth and death processes are presented. Please, read Sections 6.3 - 6.4 from textbook and Notes, part 6. General Techniques To determine the stationary distribution for a birth-and-death process with infinitesimal parameters, {xx : k 20} and {uk : k 2 1}, use the procedure described in the textbooks, . Set 60 = 1 and then evaluate k-1 HK i=1 for k 2 1. . If the series, A = ER, Or, converges (that is A 3. The death rates are (1= 3, (2= 4, (3= 1, and Un = 2 for n > 4. A. (5%) Construct the rate diagram for this birth-and-death process. B. (5%) Develop the balance equations. C. (5%) Solve these equations to find the steady-state probability distribution Po, P1, . . . . D. (5%) Use the general formulas for the birth-and-death process to calculate Po, P1, . . . . Also calculate L, La , W , and Wa.Question 2. Use Jacobi and Gauss Seidel iterations to find xk. start with Xo = [0 1 0 3], for the system. X1 + 3X3 2x2 +5X4 4x| +3x3 = 6x2 + 3x4 = a. How many iteration did Jacobi method obtained? b. How many iteration did Guass - Seidel method obtained? C. Which is the best method?Determine Irvhether the value is a discrete random variable. continuous random variable. or not a random variable. a. The distance a baseball travels in the air after being hit b. The number of people in a restaumnt that has a capacity of 100 c The gender of college students d. The number oftextbook authors novv sitting at a computer e. The number of bald eagles in a country f. The exact time it takes to evaluate 2? plus Ha. Is the distance a baseball travels in the air alter being hit a discrete randomvariable. a continuous random variable. or not a random variable? A. it is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable. b. Is the number of people in a restaurant that has a capacity of 106 a discrete random variable. a continuous random variable, or not a randomvariable? A. It is a diso'ete random variable. E. It is a continuous random variable. C. It is not a random variable o Is the gender of college students a discrete random variable. a continuous mndom variable. or not a random variable? A. ll is a discrete random variable. B. ft is a continuous random variable. C. it is not a random variable. d. Isthe number oftextboolc authors nov.r sitting at a computera discrete random variable. a continuous random variable. or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable. e. Is the nu mberof bald eagles in a country a discrete random variable. a continuous random variable. or not a random variable?A. It is a continuous random variable. B. It is a discrete random variable. (1 it is not a random variable. f. Is the exact time ittalces to evaluate 2? plus T2 a discrete randomvariable. a continuous random variable. or not a random variable? A. It is a discrete random variable. EL it is a continuous random variable. C. it is not a random variable. Click to select your