Consider an MA(6) model with θ1 = 0.5, θ2 = −25, θ3 = 0.125, θ4 = −0.0625, θ5 = 0.03125, and θ6 = −0.015625. Find a much simpler model that has nearly the same ψ-weights.
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- Consider an MA(6) model with θ1 = 0.5, θ2 = −25, θ3 = 0.125, θ4 = −0.0625,
θ5 = 0.03125, and θ6 = −0.015625. Find a much simpler model that has nearly the
same ψ-weights.
Step by step
Solved in 2 steps
- Give the equivalent exact xy-coordinates of (-2, 5pi/3)According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).Alex is measuring the time-averaged velocity components in a pump using a laser Doppler velocimeter (LDV). Since the laser beams are aligned with the radial and tangential directions of the pump, he measures the ur and u? com ponents of velocity. At r = 5.20 in and ? = 30.0°, ur = 2.06 ft/s and u? = 4.66 ft/s. Unfortunately, the data analysis program requires input in Cartesian coordinates (x, y) in feet and (u, ?) in ft/s. Help Alex transform his data into Cartesian coordinates. Specifically, calculate x, y, u, and ? at the given data point.
- State the amplitude, period, phase shift and range for the sinusoid g(x) = -3sin(5x-11/4) + 19(b) Use a calculator to verify that Ex = 152.8, Ex² = 3428.98, Ey = 244, Ey2 = 9570 and Exy = 5475.4. %3D %3D %3D Compute r. (Round your answer to four decimal places.) dons the yalue of r imply that y should tend to increase or decrease? Explain your answer.Only the 2nd part Please
