patryk pagacz „inime na żywo” december 1, 2015 analysis of south africa education data

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

Adres:ul. Cystersów 13A/1, 31-553 Kraków