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3. Assuming that the expression: ū₁ = uje-k/k₁ can be used to describe the speed-density relationship of a highway, (a) Solve the speed-density relationship using regression analysis from the data below; (b) Determine the capacity of the highway. k (veh/mi) 43 50 8 31 ū, (mi/h) 38.4 33.8 53.2 42.3

3. Assuming that the expression: ū₁ = uje-k/k₁ can be used to describe the speed-density relationship of a highway, (a) Solve the speed-density relationship using regression analysis from the data below; (b) Determine the capacity of the highway. k (veh/mi) 43 50 8 31 ū, (mi/h) 38.4 33.8 53.2 42.3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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3. Assuming that the expression: us = use -k/kj can be used to describe the speed-density relationship of a highway, (a) Solve the speed-density relationship using regression analysis from the data below; (b) Determine the capacity of the highway. k (veh/mi) 43 50 8 31 ū, (mi/h) 38.4 33.8 53.2 42.3
Transcribed Image Text:3. Assuming that the expression: us = use -k/kj can be used to describe the speed-density relationship of a highway, (a) Solve the speed-density relationship using regression analysis from the data below; (b) Determine the capacity of the highway. k (veh/mi) 43 50 8 31 ū, (mi/h) 38.4 33.8 53.2 42.3
Expert Solution
Step 1

Given:-

The expression used to describe the speed-density relationship of a highway is:-

us=uf×e-k/kj

The data given is:-

k (veh/mi) us (mi/h)
43 38.4
50 33.8
8 53.2
31 42.3

To determine:-

a) The speed-density relationship using regression analysis

b) The capacity of the highway

 

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