The amount of electricity (in trillion BTUs) consumed by U.S. residential customers in 2019 is given in
Question:
The amount of electricity (in trillion BTUs) consumed by U.S. residential customers in 2019 is given in the following table.
(a) Plot the data, letting t = 1 correspond to January, t = 2 to February, and so on. Is it reasonable to assume that electrical consumption is periodic?
(b) Use a calculator with trigonometric regression to find a trigonometric function of the form C(t0 = a sin(bt + c) + d that models these data when t is the month and C(t) is the amount of electricity consumed (in trillion BTUs). Graph the function on the same calculator window as the data.
(c) Determine the period, T, of the function found in part (b). Discuss the reasonableness of this period.
(d) Use the function from part (b) to estimate the consumption for the month of October, and compare it to the actual value.
Step by Step Answer:
a It is reasonable to assume that electrical consumption is periodic across the seas...View the full answer
