Using the Moving absolute deviation(MAD), Mean square error(MSE) and Mean absolute percentage error(MAPE), compare the forecasted data to the actual data for 2019 and comment on the accuracy of the forecasts.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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Using the Moving absolute deviation(MAD), Mean square error(MSE) and Mean absolute percentage error(MAPE), compare the forecasted data to the actual data for 2019 and comment on the accuracy of the forecasts.

Year Quarter Unemployment Seasonalized |F - A
forecast
2019
MAD =
MSE =
MAPE =
1
2
3
4
11.663
4
34.32
4
1.174
4
rate
8.2712
7.5901
7.4530
7.5652
= 2.92|
= 8.58
x 100 29.35
10.929
10.932
10.125
10.556
(F - A)²
8.2712 10.929 7.065
= 2.658
7.5901 10.932 11.169
= 3.342
7.4530 10.125 7.140
= 2.672
7.5652 10.556 8.946
= 2.991
11.663
4
= 2.916
34.32
4
= 8.58
(F - A)/A
2.658
8.2712
3.342
10.932
2.672
10.125
2.991
= 0.321
= 0.306
= 0.264
= 0.283
10.556
1.174
4
= 29.35
x 100
Transcribed Image Text:Year Quarter Unemployment Seasonalized |F - A forecast 2019 MAD = MSE = MAPE = 1 2 3 4 11.663 4 34.32 4 1.174 4 rate 8.2712 7.5901 7.4530 7.5652 = 2.92| = 8.58 x 100 29.35 10.929 10.932 10.125 10.556 (F - A)² 8.2712 10.929 7.065 = 2.658 7.5901 10.932 11.169 = 3.342 7.4530 10.125 7.140 = 2.672 7.5652 10.556 8.946 = 2.991 11.663 4 = 2.916 34.32 4 = 8.58 (F - A)/A 2.658 8.2712 3.342 10.932 2.672 10.125 2.991 = 0.321 = 0.306 = 0.264 = 0.283 10.556 1.174 4 = 29.35 x 100
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