simple linear regression, multiple linear regression and logistic...

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  • vladaf@matf.bg.ac.rs 1 / 61

    Simple Linear Regression, Multiple Linear Regression

    and Logistic Regression

  • vladaf@matf.bg.ac.rs 2 / 61

    Elementary Statistics with R

  • vladaf@matf.bg.ac.rs 3 / 61

    Simple Linear Regression

  • vladaf@matf.bg.ac.rs 4 / 61

    Simple Linear Regression

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    Simple Linear Regression

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    Estimated Simple Regression

    Equation

  • vladaf@matf.bg.ac.rs 7 / 61

    Estimated Simple Regression

    Equation (2)

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    Estimated Simple Regression

    Equation (3)

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    Estimated Simple Regression

    Equation (4)

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    Coefficient of Determination

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    Coefficient of Determination

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    Coefficient of Determination (2)

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    Coefficient of Determination (3)

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    Significance Test for Linear

    Regression

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    Significance Test for Linear

    Regression (2)

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    Significance Test for Linear

    Regression (3)

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    Confidence Interval for Linear

    Regression

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    Confidence Interval for Linear

    Regression (2)

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    Prediction Interval for Linear

    Regression

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    Prediction Interval for Linear

    Regression (2)

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    Prediction Interval for Linear

    Regression (3)

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    Residual Plot

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    Residual Plot (2)

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    Residual Plot (3)

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    Standardized Residual

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    Standardized Residual (2)

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    Standardized Residual (3)

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    Normal Probability Plot of Residuals

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    Normal Probability Plot of Residuals (2)

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    Normal Probability Plot of Residuals (3)

  • vladaf@matf.bg.ac.rs 31 / 61

    Multiple Linear Regression

  • vladaf@matf.bg.ac.rs 32 / 61

    Multiple Linear Regression

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    Multiple Linear Regression (2)

  • vladaf@matf.bg.ac.rs 34 / 61

    Estimated Multiple Regression

    Equation

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    Estimated Multiple Regression

    Equation (2)

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    Estimated Multiple Regression

    Equation (3)

  • vladaf@matf.bg.ac.rs 37 / 61

    Multiple Coefficient of Determination

  • vladaf@matf.bg.ac.rs 38 / 61

    Multiple Coefficient of Determination (2)

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    Multiple Coefficient of Determination (3)

  • vladaf@matf.bg.ac.rs 40 / 61

    Adjusted Coefficient

    of Determination

  • vladaf@matf.bg.ac.rs 41 / 61

    Adjusted Coefficient

    of Determination (2)

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    Adjusted Coefficient

    of Determination (3)

  • vladaf@matf.bg.ac.rs 43 / 61

    Significance Test for MLR

  • vladaf@matf.bg.ac.rs 44 / 61

    Significance Test for MLR (2)

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    Significance Test for MLR (3)

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    Confidence Interval for MLR

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    Confidence Interval for MLR (2)

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    Confidence Interval for MLR (3)

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    Prediction Interval for MLR

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    Prediction Interval for MLR (2)

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    Prediction Interval for MLR (3)

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    Logistic Regression

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    Logistic Regression

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    Logistic Regression (2)

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    Estimated Logistic Regression

    Equation

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    Estimated Logistic Regression

    Equation (2)

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    Estimated Logistic Regression

    Equation (3)

  • vladaf@matf.bg.ac.rs 58 / 61

    Significance Test for Logistic

    Regression

  • vladaf@matf.bg.ac.rs 59 / 61

    Significance Test for Logistic

    Regression (2)

  • vladaf@matf.bg.ac.rs 60 / 61

    Significance Test for Logistic

    Regression (3)

  • vladaf@matf.bg.ac.rs 61 / 61

    Acknowlegments

    Material in this presentation is taken from

    http://www.r-tutor.com/

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