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 that vary over the hoursin the day. on july 15, 16, and 17, the following levels of nitrogen dioxide were observedfor 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. Use the following dummy variables to develop an estimated regression equation toaccount for the seasonal effects in the data.hour1 = 1 if the reading was made between 6:00 a.m. and 7:00 a.m.;0 otherwisehour2 = 1 if if the reading was made between 7:00 a.m. and 8:00 a.m.;0 otherwise...hour11 = 1 if the reading was made between 4:00 p.m. and 5:00 p.m.,0 otherwise.note that when the values of the 11 dummy variables are equal to 0, the observation corresponds to the 5:00 p.m. to 6:00 p.m. hour.c. Using the estimated regression equation developed in part (a), compute estimates ofthe levels of nitrogen dioxide for july 18.
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 that vary over the hours
in the day. on july 15, 16, and 17, the following levels of nitrogen dioxide were observed
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. Use the following dummy variables to develop an estimated regression equation to
account for the seasonal effects in the data.
hour1 = 1 if the reading was made between 6:00 a.m. and 7:00 a.m.;
0 otherwise
hour2 = 1 if if the reading was made between 7:00 a.m. and 8:00 a.m.;
0 otherwise
.
.
.
hour11 = 1 if the reading was made between 4:00 p.m. and 5:00 p.m.,
0 otherwise.
note that when the values of the 11 dummy variables are equal to 0, the observation corresponds to the 5:00 p.m. to 6:00 p.m. hour.
c. Using the estimated regression equation developed in part (a), compute estimates of
the levels of nitrogen dioxide for july 18.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 9 images
