Breusch–Pagan Test (AP, IB, A-Level Econometrics) | Detecting Heteroscedasticity Visually скачать в хорошем качестве

Breusch–Pagan Test (AP, IB, A-Level Econometrics) | Detecting Heteroscedasticity Visually

Understand the Breusch–Pagan Test like never before! In this visual explainer, we show how economists and data analysts detect heteroskedasticity step-by-step — perfect for AP, IB, and A-Level Econometrics students. We’ll walk through both homoscedastic and heteroscedastic cases — from plotting residuals to computing the test statistic (n·R²) and interpreting the Chi-square distribution. 📊 What you’ll learn: How to visualize heteroscedasticity in OLS residuals How to construct and interpret the Breusch–Pagan test How to calculate R² and the test statistic manually How to interpret p-values using Chi-square distribution ⏱️ Chapters 0:00 – Introduction: Purpose of the Breusch–Pagan Test 0:22 – Comparing Homoskedastic vs. Heteroskedastic Models 1:05 – Visualizing Residual Patterns in Mathematica 3:00 – Auxiliary Regression and Test Setup 4:30 – Computing R² and Test Statistic 5:55 – Interpreting the Chi-Square Distribution 7:30 – Testing the Homoskedastic Model 8:10 – Conclusion: Visual Intuition Behind BP Test #Econometrics #RegressionAnalysis #Heteroscedasticity #BreuschPaganTest #OLS #Economics #DataVisualization #Mathematica #APEconomics #IBEconomics #ALevelEconomics #EduByAmjad #Statistics #econometricsexplained Keywords: IB Economics, AP Economics, A-level Economics, IB Econometrics, AP Econometrics, A-level Econometrics, Heteroscedasticity, Breusch–Pagan Test, White Test, Econometrics Visualization, Regression Diagnostics