Show complete solution and neat handwriting. Using Linear Regression with One Independent Variable, find the required relationship of Vehicle trips tonumber of employeesBuilding Vehicle Number ofNumber Trips (Y) | Employees(X)1397624642924365012604313456842138064404567520984891620649703162010124122441112462712121630333613106821121437069615721158416694936171572278418166932041917603960209681740

Given: Building Number Number of Employees (X) Vehicle Trips (Y) 1 624 397 2 924 642 3 1260…

Answered: Linear Regression u

Engineering

Civil Engineering

Linear Regression u

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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Use the singly constraint growth factor model to calculate the projected trips in Cell (1,2) for the following observed trip table and forecast trip ends. Zone 1 0 Zone 2 200 Zone 3 30 O 54 O 36 O Zone 1 Zone 2 Zone 3 O 20 90 20 40 30 40 Forecast Trip Ends 90 90 140
I 100 3 25 300 1 Current Year IV 50 75 25 200 Future Year T[I] T[I] 250 4 400 2 150 III = 300 = 1000 T [III] = 800 T [IV] = 300 Distribute the trips for inter zonal movement based on Uniform Growth Factor Method and Detroit Method. Compare the iteration number & give your conclusion.
A study area consists of three zones. The data have been determined as shown in the following tables. Zone Productions and Attractions Zone 1 2 3 Total Trip Productions 140 330 280 750 Trip Attractions 300 270 180 750 Travel Time between zones (min) Zone 1 3 1 5 3 2 3 3 5 Travel Time versus Friction Factor Time (min) F 1 82 2 52 3 50 4 41 5 39 6 26 7 20 8 12 Determine the number of trips between each zone using the gravity model. Show all steps in the calculation of friction factors and iterations for balancing attractions and productions. 6.
The following table shows the the data collected from a household survey for 3 zones A, B and C. Zone Income No. of Households No of Residents No of Workers A Low B Low C High 10,000 20,000 40,000 2.0 3.0 2.5 Assume that household trip generation model was estimated using a linear regression model as follows Number of workers 1 or less 2 or more Where Trip rate = no. of trips per household for a given zone NWORK = no. of workers per household INC = a dummy variable for income level (1 = high, 0 = low) 1.0 2.0 2.0 Trip rate=0.2 + 0.5 xNWORK + 1.1× INC Assume also that a crossing classification model was developed, which classified households based on household income (low and high) and number of workers in household (1 or less and 2 or more workers per household). The trip rates are shown as follows Low 0.8 1.2 Income High 1.0 2.3 (a) Calculate number of trips for Zone B using the linear regression model (b) Calculate number of trips for Zone B using cross-classification model (c)…
A small town has been divided into three traffic zones. An origin-destination survey was conducted earlier this year and yielded the number of trips between each zone as shown in the table below. Travel times between zones were also determined. Provide a trip dis- tribution calculation using the gravity model for two iterations. Assume K; = 1. The following table shows the number of productions and attractions in each zone. Zone 1 2 3 Total Productions 250 450 300 1000 Attractions 395 180 425 1000 The survey's results for the zones' travel time in minutes were as follows. Zone 1 3 1 6 4 2 2 8 3 3 1 3 The following table shows travel time versus friction factor. Time (min) 1 2 4 7 8 Friction Factor 82 52 50 41 39 26 20 13 2.
QUESTION 3 a) Why is transportation considered as a derived demand? b) A base year trip-generation study obtained the data shown below relating to the daily person-trip productions per dwelling unit (Y) and residential density (X dwelling units per acre). Y 3.5 30 65 10 4.0 50 2.2 70 i) Calibrate and plot the relationship Y= (a +bX)-¹ ii) Using the calibrated model, solve the following problems: A residential zone A has an area of 500 acres and contains 7500 dwelling units. Two zones B and C are competing for the trips produced in A. Given the following information, calculate the trip interchange volumes QAB and QAC IF WAB= 12, WAC 8, InF = -1.5InW, AB = 0.5Ac and all K=1.0 QUESTION 4 a) Sketch the land use transportation cycle and explain how land use affects the transportation system. b) List and write short notes on the four (4) steps used to analyse and develop land use and travel trip relationships. P3 QUESTION 5 a) State briefly the relevance of the following to transportation…
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 9 6 8 14 14 5 P 24 12 21 11 8 15 24 24 12
Multinomial Logit Model - Sample Problem Let the number of trips from zone i to zone j is 5000, and two modes are available which has the characteristics given in below. Compute the trips made by the three modes and the fare required to travel by each mode. coefficient car bus train ti twalk tij Fij 0.03 0.04 0.06 0.1 20 18 30 6 12 5 10 3 2 Pij 0.1 Cij = a₁tij + a₂tij + asti; +astnij + a5 Fij + a60j + d
Problem 2 - Use of multi-nomial logit model for estimation of modal split Use a logit model to determine the probabilities of a group of 5000 work commuters choosing between three modes of travel during the morning peak hour, including Privite car, Bus and Light rail If 1450 commuters travel by bus, 950 commuters taking light rail, determine the travel time of driving private cars (T). The utility functions for the three modes are estimated using the following equations: Uc = 2.4 – 0.4C – 0.05 T Ug = 1.4 – 0.4C – 0.05T ULR= 0.4 – 0.4C– 0.05T where C = cost (£) T= travel time (minutes) For all workers: • The cost of driving is £6.00 with a travel time of T minutes • The bus fare is £2.50 with a travel time of 50 minutes The rail fare is £2.80 with a travel time of 35 minutes. where P = probability that mode m is chosen m' = index over all modes included in chosen set
Q1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low No. of hh 93 72 59 120 13 Persons/household 1 2 3 4 5 or more Trip No. 222 341 417 1010 107 Income Medium Low 120 100 90 150 30 No. of hh 149 138 125 109 37 Trip No. 616 853 1025 1186 457 The forecasted number of households in the study area for a target year is shown below. High Income Medium 280 220 190 180 60 No. of hh 96 27 33 40 33 Trip No. 360 205 381 471 423 High 130 40 50 70 60
The zone production and attraction values were estimated as follows, where the values are unbalanced. Zone A B C D Production Attraction 370 100 250 350 450 260 350 300 The balanced value of # of trips attracted to Zone B equals (Report your answer correct to one digit after the decimal)
Question 3 a) Explain the 'gravity model' adopted in trip distribution, and how that can be used to link land and transport planning. 100 50 50 b) Given an initial trip matrix t = with two origins and three 200 100 200 destinations. We also have a target trip generation from the two origins: 300 a = 600 and the trip attraction to the three destinations: b = [400 200 300]. Perform two iterations of Furness Procedure in order to adjust the trip matrix T such that the trip generation and attraction therein will match those specified.