Biostatistics with R/Simple Linear Regression and Correlation
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Summary of Formulars with R
[edit | edit source]Formular Number | Name | Formular | Formular with R |
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9.2.1 | Assumption of linearity | Example | Example |
9.2.2 | Simple linear regression model | Example | Example |
9.2.3 | Error (residual) term | Example | Example |
9.3.1 | Algebraic representation of a straight line | Example | Example |
9.3.2 | Least square estimate of the slope of a regression line | Example | Example |
9.3.3 | Least square estimate of the intercept of a regression line | Example | Example |
9.4.1 | Deviation equation | Example | Example |
9.4.2 | Sum-of-squares equation | Example | Example |
9.4.3 | Estimated population coefficient of determination | Example | Example |
9.4.4–9.4.7 | Means and variances of point estimators a and b | Example | Example |
9.4.8 | z statistic for testing hypotheses about b | Example | Example |
9.4.9 | t statistic for testing hypotheses about b | Example | Example |
9.5.1 | Prediction interval for Y for a given X | Example | Example |
9.5.2 | Confidence interval for the mean of Y for a given X | Example | Example |
9.7.1–9.7.2 | Correlation coefficient | Example | Example |
9.7.3 | t statistic for correlation coefficient | Example | Example |
9.7.4 | z statistic for correlation coefficient | Example | Example |
9.7.5 | Estimated standard deviation for z statistic | Example | Example |
9.7.6 | Z statistic for correlation coefficient | Example | Example |
9.7.7 | Z statistic for correlation coefficient when n < 25 | Example | Example |
9.7.8 | Standard deviation for z à | Example | Example |
9.7.9 | Z Ã statistic for correlation coefficient | Example | Example |
9.7.10 | Confidence interval for r | Example | Example |
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