A parabola has a focus of F (8.5,-4) and a directrix of x=9.5.
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The analysis of time series is a process by which a set of observations in a time series is analyzed.
Part a: The time series plot is constructed both in de$mo$ and excel sheet.
b. The data appear to follow a horizontal pattern.
Part b: The trial and error is used to find the value of exponential smoothing coefficient that results in MSE= 0.009 which is less than 0.01.
The MSE in the first table is calculated using the average of the two previous years.
The MSE in the second table is calculated using the moving average
The MSE in the third table is calculated by using ∝= 0.4 and the value of alpha changes to different values as shown in the cell U20, V20 and W20.
The MSE is the mean squared error.
We find the error by subtracting <u><em>forecast</em></u> data from the <em><u>actual</u></em> data.
The forecasted data may be average of 2 years , moving average of 3 years or adding the multiplied chosen value of alpha with the actual data and the multiplied value of 1- ∝ with the forecasted value of data.
The error is then squared.
The squared error is then averaged which gives the MSE.
The values of ∝= 0.400641005, 0.40319659, 0.400641001 may give the best MSE values.
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Expression simplified:
Step-by-step explanation:
The expression that we have in this problem is:
The first type of operation that we have to solve in such expression are multiplication/division.
In this expression, there is only one multiplication, that is:
So we can rewrite the expression as
Now we can evaluate the sum of the similar terms: in this case, similar terms are only 3 and 4, and their sum is
Therefore, the expression can be rewritten as
Learn more about simplifying expressions:
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