Patryk Pagacz

„INIME na żywo”December 1, 2015

Analysis of South Africa education data.

Education Data (SA)

Linear regression• Dependent variable • Regressors

• Least squares:

• where

Linear regression- estimation

Linear regression -Anscombe's quartet

• Normal distribution:

Linear regression

Normality Autocorrelation between and Homoscedasticity Linearity and Additivity

Linear regression - assumptions

Linear regression -Anscombe's quartet

What can I do if my residuals are not normally distributed?

Box-Cox transformation Transformation on the regressors

Linear regression - transformations

Do arithmetic skills improve the ability of solving basic mathematical problems?

MF – Maths - Foundations MA – Maths - Arithmetic RV – Reading Vocabulary RC – Reading Comprehension WC – Word Choice SW – Spelling - Words SN – Spelling - Non-words

Linear regression

Linear regression

Linear regression

Linear regression

Linear regression

Linear regression

Linear regression Autocorrelation

Linear regression Homoscedasticity

Linear regression Linearity and Additivity

ModelMF^3=-3.1*MA+117.3*RV+101*RC+16.6*SW

+70.8*SN+58.5*WC-18.9*WC2-736.5

Linear regression

ModelMF^3 = 119.3*RV+99*RC+85*SN+

+60.4*WC-1103

ModelMF^3 = -3.6*MA+118.5*RV+101.8*RC+

+84*SN +59*WC-1038

Thank you for your attention

Dr Patryk Pagacz – p.pagacz@inime.org

T:784076086 E: inime@inime.org

NIP: 6751504218REGON: 123131534KRS: 0000512595

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