Patryk Pagacz „INIME na żywo” December 1, 2015 Analysis of South Africa education data.
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Patryk Pagacz „INIME na żywo” December 1, 2015 Analysis of South Africa education data.
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Linear regression Dependent variable Regressors
Transcript of 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 – [email protected]
T:784076086 E: [email protected]
NIP: 6751504218REGON: 123131534KRS: 0000512595
Adres:ul. Cystersów 13A/1, 31-553 Kraków
