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Homework: HW4 F18 (25) Score: 7.8 of 13 pts & Problem 4.8 2 of 2 (2 complete) Da

ID: 398362 • Letter: H

Question

Homework: HW4 F18 (25) Score: 7.8 of 13 pts & Problem 4.8 2 of 2 (2 complete) Daily high temperatures in St. Louis for the last week were as follows: 93, 92, 93, 94, 95, 88, 93 (yesterday). a) The high temperature for today using a 3-day moving average 92 degrees (round your response to one decimal place) b) The high temperature for today using a 2-day moving average 90.5 degrees (round your response to one decimal place). c) The mean absolute deviation based on a 2-day moving average 2.3 degrees (round your response to one decimal place) d) The mean squared error for the 2-day moving average-degrees? (round your response to one decimal place)

Explanation / Answer

d. Mean squared error (MSE) = sum of (forecast errors)^2/n

Thus MSE = 49.25/5

= 9.85. This will be rounded off to 9.9

Thus MSE = 9.9

Day Actual Forecast Error Error^2                 1         93.00                 2         92.00                 3         93.00          92.50           0.50           0.25                 4         94.00          92.50           1.50           2.25                 5         95.00          93.50           1.50           2.25                 6         88.00          94.50         (6.50)         42.25 Yesterday                 7         93.00          91.50           1.50           2.25 Today          90.50 Total         49.25