1[2 {"id":"C1","text":"The analysis year is 2023, the latest year with at least 150 countries/economies observing both indicators; 197 countries are analysed and 20 are excluded for missing GDP.","results_keys":["analysis_year","n_analysed","n_excluded_missing","complete_countries_by_year"],"status":"supported","caveat":"Missing countries are not random (small territories and conflict/sanctioned states)."},3 {"id":"C2","text":"The OLS slope of life expectancy on ln(GDP per capita) is about 5.27 years per log point, with HC3 95% CI [4.85, 5.68]; conclusion positive_effect.","results_keys":["effect_estimate","effect_se","effect_ci_low","effect_ci_high","conclusion","se_type"],"status":"supported","caveat":"Associational only; CI ignores measurement error and misspecification."},4 {"id":"C3","text":"The relationship is strong: Pearson r = 0.861, R^2 = 0.742, and log income reduces prediction RMSE from 7.08 (mean-only baseline) to 3.59 years.","results_keys":["pearson_r","r_squared","baseline_metric","model_metric"],"status":"supported","caveat":"In-sample fit; linear-in-log form misses curvature at high incomes."},5 {"id":"C4","text":"The slope is robust to the choice of robust SE type and to dropping the 5 most influential countries (beta = 5.32).","results_keys":["supp_effect_se_by_type","supp_effect_se_classical","supp_sens_drop5_effect_estimate","supp_sens_drop5_effect_se","supp_sens_drop5_cooks_iso3"],"status":"supported","caveat":"Limited sensitivity set; no clustering, bootstrap or nonlinear specifications."},6 {"id":"C5","text":"Mean life expectancy rises monotonically across World Bank income groups, from 63.2 (Low) to 79.7 years (High).","results_keys":["n_analysed"],"status":"supported","caveat":"Numbers are in out/table1.csv, generated by analysis.py; group sizes are unequal (20 low-income countries)."}7]8