4. Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: q=ujk kj (a) If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway, and solve the expression using linear regression analysis; (b) Determine the density at which the maximum volume will occur as well as the value of the maximum volume. (c) Plot speed versus density for both the expression developed and the data shown, and comment on the differences between the two sets of curves. Speed (mi/h) Density (veh/mi) 50 45 40 34 22 13 12 18 25 41 58

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
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4. Results of traffic flow studies on a highway indicate that the flow-density
relationship can be described by the expression:
q-uk-k²
kj
(a) If speed and density observations give the data shown below, develop an
appropriate expression for speed versus density for this highway, and solve the
expression using linear regression analysis; (b) Determine the density at which the
maximum volume will occur as well as the value of the maximum volume. (c)
Plot speed versus density for both the expression developed and the data shown,
and comment on the differences between the two sets of curves.
Speed (mi/h)
Density (veh/mi)
50
45
40
34
22
13
12
18
25
41
58
71
88
Transcribed Image Text:4. Results of traffic flow studies on a highway indicate that the flow-density relationship can be described by the expression: q-uk-k² kj (a) If speed and density observations give the data shown below, develop an appropriate expression for speed versus density for this highway, and solve the expression using linear regression analysis; (b) Determine the density at which the maximum volume will occur as well as the value of the maximum volume. (c) Plot speed versus density for both the expression developed and the data shown, and comment on the differences between the two sets of curves. Speed (mi/h) Density (veh/mi) 50 45 40 34 22 13 12 18 25 41 58 71 88
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