Ten weeks of data on the Commodity Futures Index are as follows.
1 answer:
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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Answer:
The answer to the given problem is x=-11
Step-by-step explanation:
Given problem is
To solve the equation:
(multiplying the term with factor)
(adding the like terms)
(adding the like terms)
Now taking the terms to one side
(adding the like terms)
x=-11
Therefore x=-11
The answer to the given problem is x=-11
She made the mistake of grouping unlike terms and factorizing.
Given that
Helene is finding the sum (9 + 10i) + (–8 + 11i).
She rewrites the sum as (–8 + 11)i + (9 + 10)i.
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Which statement explains the property of addition that she made an error in using?
According to the question
The mistake she did is in the second term distributing.
(9+10i) is not equal to (9+10)i
Similarly (-8+11i) is not equal to (-8+11)i.
The correct method she should have done is given below;
Grouping real terms together and imaginary terms together and finding the sum is,
Hence, she made the mistake of grouping unlike terms and factorizing.
To know more about Complex Number click the link given below.
Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be
The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:
Multiply through by 2
Solve for y,
For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is
Multiply through by -4
Solve for y