Daily high temperatures in St. Louis for the last week were as follows: 93, 94, 93, 95, 96, 88, and 90 (yesterday).


a) Forecast the high temperature today, using a 3-day moving average.



b) Forecast the high temperature today, using a 2-day moving average.



c) Calculate the mean absolute deviation based on a 2-day moving average, covering all days in which you can have a forecast and an actual temperature.

Respuesta :

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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a) The forecast of the high temperature today, using a 3-day moving average is 91.3 (96 + 88 + 90)/3.

b) The forecast of the high-temperature today, using a 2-day moving average is 89 (88 + 90)/2.

c) The mean absolute deviation based on a 2-day moving average is computed as follows:

Daily High Temperatures in St Louis

Day     Temperature  2-day Moving Average   Absolute Deviation

1                   93            

2                  94                93.5 (93 + 94)/2                1.1 (94 - 92.9)

3                  93                93.5 (94 + 93)/2                0.1 (93 - 92.9)

4                  95               94.0 (95 + 93)/2                2.1 (95 - 92.9)

5                 96               95.5 (96 + 95)/2                 3.1 (96 - 92.9)

6                 88               92.0 (88 + 96)/2               -4.9 (88 - 92.9)

Yesterday  90              89.0 (90 + 88)/2                -2.9 (90 - 92.9)

Mean of dataset =       92.9 (557.5/6)

Mean of Absolute deviation =                                 -1.4

What are moving averages?

A moving average is a statistical analysis tool used to capture the average change in a dataset over the stated time, e.g. two-day, three-day, etc. It helps in smoothing trends.

Data and Calculations:

Daily High Temperatures in St Louis

Day     Temperature

1                   93

2                  94

3                  93

4                  95

5                 96

6                 88

Yesterday  90

Thus, based on a 2-day moving average, the mean absolute deviation is -1.4.

Learn more about moving averages https://brainly.com/question/15188858

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