air pollution control specialists in southern california monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. the hourly time series dataexhibit seasonality, with the levels of pollutants showing patterns over the hours in theday. on july 15, 16, and 17, the following levels of nitrogen dioxide were observed in thedowntown area for the 12 hours from 6:00 a.m. to 6:00 p.m.July 15: 25 28 35 50 60 60 40 35 30 25 25 20July 16: 28 30 35 48 60 65 50 40 35 25 20 20July 17: 35 42 45 70 72 75 60 45 40 25 25 25a. construct a time series plot. What type of pattern exists in the data?b. identify the hourly seasonal indexes for the 12 readings each day.c. deseasonalize the time series.d. Using Minitab or excel, compute the linear trend equation for the deseasonalized data.e. compute the deseasonalized trend forecasts for the 12 hours for july 18 and then adjustthe trend forecasts using the seasonal indexes computed in part (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
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air pollution control specialists in southern california monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. the hourly time series data
exhibit seasonality, with the levels of pollutants showing patterns over the hours in the
day. on july 15, 16, and 17, the following levels of nitrogen dioxide were observed in the
downtown area for the 12 hours from 6:00 a.m. to 6:00 p.m.
July 15: 25 28 35 50 60 60 40 35 30 25 25 20
July 16: 28 30 35 48 60 65 50 40 35 25 20 20
July 17: 35 42 45 70 72 75 60 45 40 25 25 25
a. construct a time series plot. What type of pattern exists in the data?
b. identify the hourly seasonal indexes for the 12 readings each day.
c. deseasonalize the time series.
d. Using Minitab or excel, compute the linear trend equation for the deseasonalized data.
e. compute the deseasonalized trend forecasts for the 12 hours for july 18 and then adjust
the trend forecasts using the seasonal indexes computed in part (b).

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