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Published byMitchell Anderson Modified over 9 years ago
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Carolin Wendler Ashley Karanja Janani Kurukularatne
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For countries around the world [1], we collected 2007 data for: Life Expectancy Maths Achievement in the 4 th Grade Maths Achievement in the 8 th Grade We created scatter plots for: Life Expectancy versus Maths Achievement in the 4 th Grade Life Expectancy versus Maths Achievement in the 8 th Grade To both plots we fitted a straight line using least squares regression. We calculated Pearson’s correlation coefficients and the coefficients of determination. To see where Australians fits within international statistics we created a box and whisper plots for both Life Expectancy and Maths Achievement in 4 th and 8 th Grade.
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4 th Grade Life expectancy = 0.0209 x average TIMSS test results + 65.844 R² = 0.1396 R= 0.3736 0.3736
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8 th Grade Life expectancy = 0.0466 x average TIMSS test results + 53.551 R² = 0.2805 R= 0.5296
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There is a weak positive relationship between Life Expectancy and 4 th Grade Math’s Achievement. 37% of the variation in the life expectancy data is explained by the variation in the 4 th Grade data. There is a moderate positive relationship between Life Expectancy and 8 th Grade Math's Achievement. 53% of the variation in the life expectancy data is explained by the variation in the 8 th Grade data. From the box plots we can see Australians have life expectancy in the top quarter of the world’s countries. Their Math’s Achievement in the 4 th and 8 th Grade is also in the top 25% as expected from our scatter plots.
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We only used data from one year, 2007. We need to check that out results are true for other years. The coefficients of determination only tell us that there is an association between variables, not that one variable depends on another. More analysis would be required to establish that dependency.
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The Maths achievement was observed for both 4th and 8th grade compared to life expectancy. The data portrayed that the greater the maths achievement the greater the life expectancy rates in 2007. To improve the validity of our conclusion we need to conduct a similar analysis for other years. References [1] Mathematical Achievement in Eight Grade,2013, gapminder.org [accessed 06.09.2013] [2] Mathematical Achievement in Four Grade,2013, gapminder.org [accessed 06.09.2013] [3] Mathematical Achievement in Life ExpectancyGrade,2013, gapminder.org [accessed 06.09.2013]
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