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In: Math

How do you solve this using R? The file "flow-occ.csv" contains data collected by loop detectors...

How do you solve this using R?

The file "flow-occ.csv" contains data collected by loop detectors at a particular location of eastbound Interstate 80 in Sacramento, California, from March 14-20, 2003. For each of three lanes, the flow (the number of cars) and the occupancy (the percentage of time a car was over the loop) were recorded in successive five-minute intervals. There were 1740 such five-minute intervals. Lane 1 is the farthest left lane, lane 2 is in the center, and lane 3 is the farthest right.

(a) For each station, plot flow and occupancy versus time. Explain the patterns you see. Can you deduce from the plots what the days of the week were?

(b) Compare the flows in the three lanes by making parallel boxplots. Which lane typically serves the most traffic?

(c) Examine the relationships of the flows in the three lanes by making scatterplots. Can you explain the patterns you see?

(d) Make histograms of the occupancies, varying the number of bins. What number of bins seems to give good representations for the shapes of the distributions? Are they any unusual features, and if so, how might they be explained?

(e) Make plots to support or refute the statement, "When one lane is congested, the others are, too."

Timestamp	Lane 1 Occ	Lane 1 Flow	Lane 2 Occ	Lane 2 Flow	Lane 3 Occ	Lane 3 Flow
03/14/2003 00:00:00	0.01	14	0.0186	27	0.0137	17
03/14/2003 00:05:00	0.0133	18	0.025	39	0.0187	25
03/14/2003 00:10:00	0.0088	12	0.018	30	0.0095	11
03/14/2003 00:15:00	0.0115	16	0.0203	33	0.0217	19
03/14/2003 00:20:00	0.0069	8	0.0178	25	0.0123	13
03/14/2003 00:25:00	0.0077	11	0.0151	24	0.0092	13
03/14/2003 00:30:00	0.0049	7	0.0153	22	0.0192	19
03/14/2003 00:35:00	0.007	10	0.0194	33	0.0156	17
03/14/2003 00:40:00	0.0082	12	0.0146	26	0.0166	13
03/14/2003 00:45:00	0.0074	11	0.0207	30	0.018	14
03/14/2003 00:50:00	0.0071	10	0.0135	22	0.0074	11
03/14/2003 00:55:00	0.0069	10	0.012	17	0.0147	12
03/14/2003 01:00:00	0.0011	2	0.0078	13	0.0118	10
03/14/2003 01:05:00	0.0038	5	0.0116	18	0.0202	11

...there is more data that can't fit

Expert Solution

The Rcode and explanation is given below

milcah answered 1 year ago

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