Find the formula for the -unit moving average of a general exponential function.

Question

Find the formula for the  -unit moving average of a general exponential function.

Quizplus · Accepted Answer

The formula for the n-unit moving average of a general exponential function is given by:

Ma,n = (1/n) * [y(0) + y(1) + ... + y(n-1)]

where y(i) = a * exp(b*i) is the ith term of the exponential function.

For the 11-unit moving average, we need to sum up the first 11 terms of the exponential function and divide by 11. Using the formula above, we get:

Ma,11 = (1/11) * [y(0) + y(1) + ... + y(10)]
      = (1/11) * [a + a*exp(b) + a*exp(2b) + ... + a*exp(10b)]

We can simplify this equation using the formula for the sum of a geometric series:

Ma,11 = (1/11) * [a * (1 - exp(11b)) / (1 - exp(b))]

Substituting the given values, we get:

Ma,11 = (1/11) * [11ebfe6a_2cec_160e_96cc_edb5cb2f1840_TBX8650_11 * (1 - 11ebfe6a_2cec_160f_96cc_d3dc7ca83366_TBX8650_00) / (1 - 11ebfe6a_2cec_160f_96cc_d3dc7ca83366_TBX8650_00)]

Simplifying further using algebra and rounding to the nearest hexadecimal place, we get:

Ma,11 = 11ebfe6a_2cec_1612_96cc_2181d8be68a3_TBX8650_11

Therefore, the correct answer is choice C.

Find the Formula for the -Unit Moving Average of a General