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Regression Analysis

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Part I After a study was done gathering data of poverty and crime rates in Town X, certain assumptions were made about the connection between the two. One such assumption was that in areas where the amount of kids who get free lunches increases, so does the crime rate. Finding this a bit far fetched and believing it may lack a strong correlation, I decided to take a look at the data myself and run a regression analysis. The data I had to work with included: - Percent of kids given a free lunch in an area - Crime rate per 100,000 people The question that I sought out to answer was "Is the percentage of kids receiving a free lunch in an area correlated to higher crime rates?" The news station that made this assumption offers the reason for the question, and by running a regression analysis, I can prove or disprove their claim. By putting the data into SPSS and running a linear regression analysis, I can see the regression equation and the level of correlation and signi...

Spatial Autocorrelation

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Part I: Correlation This section of the assignment focused on correlation and using tools to analyze data. Tools that were used includes software like Microsoft Excel and SPSS and tests, Pearson Correlation and scatter plots. With these, we are able to critically look at data to find patterns. First, we were given data on sound levels at various distances. One column had distance as feet and the other column had sound level as decibels. The data is shown below in figure 1. Figure 1: Sound level data provided Using Excel, we made a scatter plot to visually represent the data. The resulting scatter plot is shown below in figure 2.  Figure 2: Scatter plot of sound level, Microsoft Excel Taking it further and putting the data into SPSS, we can analyze it using Pearson Correlation. This takes the data and looks at how it changes in relation to each variable. Figure 3 below is the result of running that correlation. Figure 3: Correlation Table fro Distance and Soun...

Hypothesis Testing

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Assignment 4 Michael Lewis November 14, 2017 Part 1 Introduction: The objective of this assignment is to learn how to use hypothesis testing and apply it to real world examples. Hypothesis testing is a statistical method to make larger conclusions about a population from a sample. It becomes most useful when it is unrealistic to retrieve data from an entire population, like from residents of San Francisco or farms in Iowa. Instead, by using hypothesis testing, you can make generalizations about the population from a more doable, sample population. We break it down into six steps: 1.        State the null hypothesis 2.        State the alternative hypothesis 3.        Choose a statistical test 4.        Choose the level of significance 5.        Calculate the statistic 6.        Make a...

Foreclosure Trends in Dane County

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Introduction             I was hired by a research group wanting analysis of foreclosure patterns in Dane County, Wisconsin. The timeframe I’d be looking at is short, only the years 2011 and 2012. This is not very much data to work with and it is hard to see trends in so few data points. With that said, the county sees a major problem beginning, an increase in foreclosures throughout the county. The research group is only looking for analysis, not a reason for this perceived trend.             I looked at a number of factors in establishing a trend. These factors included the change in numbers of foreclosures per census tract and their distribution geographically. Finding a trend statistically or geographically may help county officials understand what is happening and use it to find the cause. Methodology          ...