For questions 15, consider the following univariate time series dataset which is the arctic January average temperature in Celsius, C from 1979 to 2022. (X1-23)= 14(X25~44) = I1 I2 E 112 (X97-100)= X1-22 1979 1980 He (X1-44)= 1990 -0.47 123 2001 -0.23 224 2002 X22 2000 -0.41 0.03 1. Suppose that (X-22)= -0.2527 and (X1-22) = 0.0399. Find the values of (X1-23) and o(X1-23) where 123 = -0.19. He(X35-44) = I -0.24 1 134 2012 : (X1-23) = 2022 2. Compute simple moving average where the window size is k = 20. Suppose that (X24-43) = 0.0469. Find the value of (X25-44) where 224 = 0.09 and 244 = 0.03. -0.19 0.09 E -0.34 3. Compute inverse rank weighted moving average where the window size is k = 4. Find the value of P(X41-44) where X41-44 = (0.24, 0.42,0.12,0.03). 4. Suppose that the exponentially weighted mean, (X1-43)= 0.2232 with a = 0.3. Find the values of pe (X1-44) where 44 = 0.03. 5. Compute exponentially weighted moving average where the window size is k = 10. Suppose that the exponentially weighted moving average, He(X34-43) = 0.2232 with a = 0.3. Find the values of (X35-44) where 34 = -0.19 and 44 = 0.03.