1. The data in the following table is a subseries of an AR(2) process - x)0.62x(t-1)+0.25x(t-2)+E) ) id N(0,0 225) 10 0-43.5615-42.5594-27.5556-24.86707.6353-16.6590 30.3863 -13.9924-48.8766-40.9939...
1. The data in the following table is a subseries of an AR(2) process - x)0.62x(t-1)+0.25x(t-2)+E) ) id N(0,0 225) 10 0-43.5615-42.5594-27.5556-24.86707.6353-16.6590 30.3863 -13.9924-48.8766-40.9939 10-38.2022 8.6007-26.9491-41.7347-20.330616.6453 -8.1240 6.7680 -14.3989 -37.04006 20 -0.8470-18.0262 -20.5075-25.0793 -16.8221 7.7765 14.4545 35.305633.6065 -0.1143 30 -0.5319 75514 -0.4998 14.1964 -0.1449 .830522.5281 29.992340.7217 14.2982 40 23.3038 20.4037 17235743.157534.5701 33.7827 31.9995 23.4265 18.995413.7399 60 40 20 20 40 -60 10 20 30 40 50 60 (1) Calculate the mean and standard deviation of x(t), t-1,2..,50. (2) The theoretical...
(10 pts) For the following set of sample data: x=(2,4, 1,1,3,0,5} 2 ar J a wedland a. calculate the mean, median, and mode man ; lbj b. calculate the standard deviation using the deviation scores method c. Calculate the standard deviation using the raw scores method and confirm the same answer as for part b. d. Calculate the variance.
1. If X-N (100, 42), then 68% of the data fall in what range? a. 96 - 104 b. 92 - 108 c. 88 - 104 d. 98 - 102 2. If X-N (7,02), what percent of the data fall between 7 and # – 20? a. 34% b. 47.5% C. 50% d. 95% 3. Given a normally-distributed data set whose mean is 40 and whose standard deviation is 8, what value of x would have a z-score of -1.25?...
5. [20+5+5] In the regression modely, x,B+ s, pe,+u, ,where I ρ k l and , , let ε, follow an autoregressive (AR) process u' ~ID(Qơ:) , t-l, 2, ,n . <l and u, - Derive the variance-covariance matrix Σ of (q ,6, , , ε" )". From the expression of Σ, identify and interpret Var(.) , t-1, 2, , n . Find the CorrG.ε. and explain its behavior as "s" increases, (s>0). (ii) (iii) 5. [20+5+5] In the regression...
x P(X=x) 10 0.1 20 0.15 30 0.2 40 50 0.15 60 0.15 The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of people who will enter a retail clothing store on Saturday. Answer the following: (a) Determine the value that is missing in the table. (b) Explain the meaning of P(x < 40) as it applies to the context of this problem. (c) Determine the value of P(x > 40):...
Simple Regression in Class Example StudentID Exam Score 10 Hours Studied 100 25 225 7 2 0 0 20 ol 75 30 25 85 80 90 65 75 95 100 9 001 002 003 004 005 006 007 008 009 010 N=10 5 15 -10 ol 20 -10 S 10 2 6 8 3 S - 3 1 3 0 0 400 9 60 -2 4 100 25 -S 2 -3 9 65 70 55 70 Mean=75 20 ISI ol...
1_ in part 2 is your graph of s vs t a straight line? if not how would you describe the curve (what does the slope tell about the velocity ) 2_ in part 3 what does your graph of v vs the tell you about the acceleration 70 60 50 40 30 DISTANCE (cm) 20 Time (sec) Average Time sec CONSTANT ACCELERATION TABLE 2-2 60 70 50 1. DISTANCE (crm). 40 20 30 459226226L-112 1.236 13512 26 1.235 95z...
5. Consider the following message signal: m(t) -2 .3 10 Assume that the carrier frequency is f are kf = 105, kp-25 respectively. 108 Hz, and frequency and phase deviation constants Find the maximum and minimum frequency deviation for FM, and sketch the FM wave for a duration of 103 seconds shown in the above figure (5 points). a. b. Find the maximum and minimum frequency deviation for PM, sketch the PM wave for a duration of 103 seconds shown...
5. What is/are the mode(s) for the data that appear on scores Sired from 6. What is/are the models) for the data that appear on we 7. What is the variance for the data that appea ar on worksheet 1, for Class ORANGE? ar on worksheet 2, for Class APPLE? 8. What is the variance for the data that appear at appear on worksheet 1, for Class ORANGE that appear on worksheet 2, for Class APPLE? 9. How many units...
Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y 2 3 4 2 3 -10 -20 -20 -30 -40 -40 -60 -50 -601 -80 у BOF у 60 50 60 40 40 30 20 20 10 х 2 3 4 2 3