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Math 1040 Term Project

Math 1040 Term Project. Group Nine. Mark Beebe Bert Bullough Aimee Sizemore. The correlation between the number of degrees earned by parents and their number of offspring. Our research plan.

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Math 1040 Term Project

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  1. Math 1040 Term Project Group Nine Mark Beebe Bert Bullough Aimee Sizemore

  2. The correlation between the number of degrees earned by parents and their number of offspring

  3. Our research plan • Our data collection technique was for each team member to use simple random sample of family, friends, and work colleagues • The people were asked about the number of siblings they had, and the amount of college education their parents had completed • We used statistical analysis and linear regression to identify if there was a correlation between the quantitative variables

  4. Our Data

  5. Summary of statistics and frequency Degrees

  6. Box plot statistics • How to find Outliers: • Q1-1.5(IQR) Lower fence • 1-1.5(1)= -0.5 No outliers • Q3+1.5(IQR) Upper fence • 2+1.5(3)= 3 No outliers How to find Outliers: Q1-1.5(IQR) Lower fence 1-1.5(3)= -.35 No outliers Q3+1.5(IQR) Upper fence 4+1.5(3)= 8.5 No outliers

  7. Correlation statistics • Simple linear regression results:Dependent Variable: Amount of SiblingsIndependent Variable: Number of degrees the parents have Amount of Siblings = 2.2748816 + 0.31753555 Number of degrees the parents have Sample size: 34 R (correlation coefficient) = 0.1374 R-sq = 0.018877447 Estimate of error standard deviation: 1.7461027

  8. Conclusion • Difficulties/ surprises encountered • One difficulty encountered was figuring out whose research question to use. We also ran into a bit of trouble with making sure that we used all of the right data and properly analyzed it. We found it easy to create our graphs with the help of StatCrunch. Once you figure out how to operate StatCrunch the rest comes fairly easily. We really enjoyed creating these graphs and putting this paper together when we got the hang of it. • Analysis • Distribution of the data for offspring and number of degrees that parents had earned was fairly even. There were no outliers in either category, and the number of offspring was varied, as we suspected. Between the two parents of a family we found that each parent had a degree. We also found that the mean number of siblings was two, but one to four were not far behind. Looking at the fitted line plot, we noticed there is not a strong correlation between the number of children and the amount of college education the parents had earned.

  9. Conclusion • After analyzing the data, we found that there was not a strong correlation between the parents’ education level and number of children from those parents. The correlation between the two variables was 0.1374; which is a quite weak correlation coefficient. The relationship demonstrated was that parents with more education have fewer children. However, because of the weakness of the correlation, my hypothesis was not entirely validated. I believed that there would be a stronger inverse correlation between number of children and parents’ education level. According to the statistics this was not the case. I think with a larger sample size we might come up with different results and a stronger correlation.

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