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Assignment 6: Regression Analysis

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Regression Analysis Part 1 Introduction In the first part of the assignment a simple regression analysis is to be performed on data which attempts to relate the percent of kids in an area who receive free lunch, and crime rate in the same area of a town. This seems silly but performing a regression analysis could help make sense of why this data could relate. The questions that will be answered are; Is the news correct that areas where a larger percent of kids receive free lunch there is a higher crime rate, If a new area of the town was identified with 30% free lunch what is the corresponding crime rate, and how confident is this result. Methodology Definitions   Ordinary Least Squares (OLS): Fitting a line through a set of points and squaring the sum of the vertical distances from observed points so the distance from the trend line is minimized. Regression Analysis : Studies the relation between a dependent and Independent variable. Linear ...

Assignment 5: Correlation and Spatial Autocorrelation

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Correlation and Spatial Autocorrelation Goal  The goal of this assignment is to utilize different techniques and software to calculate correlations. Excel, SPSS, and ArcMap are used together to produce different ways of analyzing different data sets. Correlation measure the strength of the association of two variables, and also the direction of association. the results of a correlation always fall between -1 and 1. The closer the correlation value falls to 1 or negative 1 the stronger the relation between the values are. If the correlation falls closer to 0 then there is no or little relationship between the variables. if both the x and y variable increase, then there is a positive correlation closer to 1. If x increases and y decreases then the correlation is closer to -1 creating a negative correlation. Part 1: Correlation Section:1 a) The first task a set of data was given showing Distance (ft) and Sound Level (dB) (Figure 1) and a scatter plot in excel w...

Assignment 4- Hypothesis Testing

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Hypothesis Testing In this assignment the goal is to distinguish between z and t tests tests. Also to learn how to calculate z and t tests through the use of hypothesis testing. Then to utilize this process when connecting real-world data to statistics and geography. z-test  A z-test is a statistical test to determine if two means are significantly different or not, a z-test is used when the sample size is larger then 30. (z-test equation, Taken from Ryan Weichelt) t-test A t-test is a statistical test to determine if two means are significantly different or not, and this test is used when the sample size is smaller than 30.                                               (t-test equation, Taken from Ryan Weichelt) Steps of Hypothesis Testing: State the null hypothesis State the alternative hypothesis Choose a statistical test Choose the level o...

Assignment 3

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Intro In this assignment, the goal is too study the geography of foreclosures in Dane County Wisconsin. There has been an increase in foreclosures from 2011 to 2012, this is a problem in any county. Therefore County officials are worried, and as an independent researcher my goal is to analyze spatially the pattern of these foreclosures between 2011 and 2012, and provide understanding as to the chance foreclosures will increase in 2013. Although it is not possible to determine the reasons for foreclosures occurring, it is possible to perform a spatial analysis and determine the odds that foreclosures will increase again in 2013. In order to understand the spatial analysis of Dane County Wisconsin Foreclosures Z-scores, Probability, and Standard Deviation will be used to analyze the 2011 and 2012 census tract data. Z-score Z-score is the exact number of standard deviation that an observation is away from the mean. For example, if an observation falls between 2 and 3 deviations from ...

Assignment 2

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Descriptive Statistics and Mean Centers The purpose of this assignment is to become familiar with different statistical methods. In the first part the focus is on Range, Mean, Median, Mode, Kurtosis, Skewness, and Standard Deviation. The second part of this assignment will focus on analyzing mean centers of Wisconsin. Throughout this assignment we become more familiar with the use of  Excel when performing statistical analysis.  Definitions Range:  Range is the difference between the highest and lowest value in a data set. Example: If a set of numbers was 1,2,5,5,8,10,12,15  The range would be 14 (15-1=14). Mean: Mean is the average of all numbers within a data set. the Mean is calculated by adding all the numbers up and dividing that total by the number of numbers in the set of data. Example: If a set of numbers was 1,2,5,5,8,10,12,15 the Mean is 7.25 ((1+2+5+5+8+10+12+15)/8=7.25) Median: Median is the exact middle number in a data set, but ...