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Consider the following time series data: Month 1 2 3 4 5 6 7 Value 25 13 21 13 20 22 14 (a) Compute MSE using the most recent va

marishachu [46]

Answer:

a. MSE = 64.8

b. Forecast for month 8 is 14.

Step-by-step explanation:

$MSE = \frac{sum (error)^{2} }{n-1} \\$

where $error= value-forecast$

Using the most recent value as the forecast for the next period, we have forecasts for the months as;

(1,-) , (2,25) , (3,13) , (4,21) , (5,13) , (6,20) , (7,22)

$error$ = (-, -12, 8, -8, 7, 2, -8, -)

$error^{2}$ = (-, 144, 64, 64, 49, 4, 64, -)

$sum(error^{2} ) = 389$

$MSE = \frac{389}{7-1} = 64.833333$

Therefore, MSE = 64.8 (1 decimal place).

The Forecast for month 8 is 14 since we are using the most recent value as the forecast for the next period.

8 0

2 years ago

Read 2 more answers

4x2 + 9y2 = 72 2x - y = 4 Which of the following is a solution to the system shown?

Ede4ka [16]

If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
4x^2 + 9y^2 = 72
4x^2 + 9 * (2x - 4)^2 = 72
4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be (3/5, -14/5) and (3, 2).

5 0

3 years ago

Write absolute value of the following rational number -6/11 , 15/21 , -9 , -21/-37 , 31/-54

Dahasolnce [82]

Answer:

6/11, 15/21, 9, 27/37, 31/54

Step-by-step explanation:

Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.

4 0

3 years ago

Which exponential function has an x-intercept?

klasskru [66]

Answer:

therefore f(x)=100x-5-1 has an x-intercept

7 0

3 years ago

HELP PLZ HURRY!!!!!!

kotykmax [81]

It is 8/3 I did math

7 0

2 years ago