Generate n = 100 observations from the autoregression x_t=-0.9x_t-2)+x_t, Where {x_t } is white noise with σ^2 = 1. Next, apply the moving average v_t=(x_t+x_(t-1)+x_(t-2)+x_(t-3))/4 to x_t, the data you generated. Comment on the behavior of {x_t}, and how moving average changes this behavior. Hint: v = filter(x, rep(1/4, 4), sides=1) Repeat (a) but with x_t=cos⁡〖(2πt/4)〗 Repeat (b) but with x_t=cos⁡〖(2πt/4)〗+w_t Compare (a) to (c).

Nicolo paganini's numbers 1184 and 1210 are amicable. the proper divisors of 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, and 592. the proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, and 605. use the definition of amicable (friendly) numbers to show that they are indeed amicable. which of the folowing statement uses the definition of amicable numbers to show that 1184 and 1210 are indeed amicable? o a. o b. ° c. the sum of proper divisors of 1184 is 1210 and the sum of proper divisors of 1210 is 1184 the sum of proper divisors of 1184 is greater than 1210 and the sum of proper divisors of 1210 is greater than 1184 the sum of proper divisors of 1184 is less than 1210 and the sum of proper divisors of 1210 is less than 1184