PLG 310 Lab Assingment 1

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Toronto Metropolitan University *

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310

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Industrial Engineering

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Dec 6, 2023

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1 Lab 1 Urban and Regional Planning, Toronto Metropolitan University PLG - 310 : Statistics for Planners Dr. Yemi Adediji October 4, 2023
2 Regionid, Region ID : This what region the household is in. Continuous. Anyvmt, Any Vehicle Miles Traveled : This is if the household had any VMT. Binomial. Anybike, Any Bike Used : This is if the household had any bike usage. Binomial. Anytransit, Any Transit Used : This is if the household had any transit usage. Binomial Htype, Housing Type : This is the type of housing. Nominal. Hhincome, HouseHold Income : This is the income of the household. Continuous. Income_cat, Income Category : This is the category of income of the household. Discrete. Frequency Graph - HouseHold Size People Frequency Relative Frequency 1 3225 0.25962 2 4777 0.38456 3 1929 0.15529 4 1691 0.13613 5 569 0.04581 6 164 0.01320 7 50 0.00403 8 14 0.00113 9 1 8.05e-5 10 2 1.61e-4 We can see with this frequency table on Household size that 2 people in a household is the most common. 9 people in a household is the least common. There are a total of 12,444 data points in this data set.
3 Bar Graph of Household Size We can see in a bar graph that the mean appears to be 2.39 people per household. The median is shown to be 2. There is a minimum of 1 and a maximum of 10. There is a standard deviation of 1.26, with a variance of 1.59. There is a difference of 1552 data point between the most common answer and the second most common. Histogram of Household Income Looking at the histogram for household income we can see that the graph skewed to the right with an almost comb distribution. The highest point lies within 0 - 50 and the lowest lies within 150 - 200.
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4 Frequency Table of Any Bike Use, and Any Vehicle Miles Traveled Yes or No Count Total Proportion Any Bike Use 0 12011 12422 0.967 1 411 12422 0.033 Any Vehicle Miles Traveled 0 679 12413 0.055 1 11734 12413 0.945 We can see the proportion of people using a bike to travel is very low with it being 0.033 of the total data set. While we can see the proportion of people using a car being very high with 0.945 of the total data set. The contrast between people driving and people using the bike is quite stark. We can see that the 0.055% of people not driving have a 0.033% to ride a bike instead. Cross Tabulation of Income Category and Any Vehicle Miles Traveled Income Category Any Vehicle Miles Traveled 1 2 3 Total 0 Observed 351 232 96 679 % within column 13.0 % 4.4 % 2.1 % 5.5 % 1 Observed 2357 5002 4375 11734 % within column 87.0 % 95.6 % 97.9 % 94.5 % Total Observed 2708 5234 4471 12413 % within column 100.0 % 100.0 % 100.0 % 100.0 % Looking at this cross tabulation we can see a correlation with income category and any VMT. We see the lower the income category the higher the percentage of people not driving. This aligns with my idea that as a person's income is lower they may not be able to afford a car and therefore cannot drive one. We can see that the highest number of people not driving is in the income category of 1. And the highest number of people driving is in the income category of 3.
5 Five Number Summary of Household Income House Hold Income N 12422 Standard deviation 41.4 Range 194 Minimum 0.00 Maximum 194 25th percentile 36.1 50th percentile 67.1 75th percentile 97.1 Five Number Summary of Household Income By Housing Type Housing Type House Hold Income N 0 181 1 10049 2 868 3 1324 Standard deviation 0 27.5 1 41.2 2 33.6 3 33.3 Minimum 0 2.78
6 1 0.00 2 0.00 3 0.00 Maximum 0 171 1 194 2 194 3 194 25th percentile 0 23.8 1 45.6 2 24.1 3 21.5 50th percentile 0 40.0 1 74.2 2 45.6 3 40.0 75th percentile 0 51.4 1 104 2 67.1 3 62.8
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7 Box Graph of Household Income by Housing Type We can see from these graphs that housing type 1 by far has the most data points with 10049 with the next closest being housing type 3 with 1324. With this we can conclude that housing type 1 is the most common type of housing with the most data sets. Housing type 1 has the highest standard deviation meaning it has the most varied data. Between quartiles Housing type 0 2 3 are very similar whereas housing type 1 is very different. The results are not what I expected as seeing such a disproportionate number of data points for housing type 1 was surprising.
8 References The jamovi project (2022). jamovi. (Version 2.3) [Computer Software]. Retrieved from https://www.jamovi.org. R Core Team (2021). R: A Language and environment for statistical computing. (Version 4.1) [Computer software]. Retrieved from https://cran.r-project.org. (R packages retrieved from MRAN snapshot 2022-01-01).