1[2 {"id":"C1","text":"The OLS slope of y on x (with intercept) is about 0.805, with intercept about 1.444.","results_keys":["beta_hat","alpha_hat"],"status":"supported","caveat":"Associational linear-projection slope, not causal."},3 {"id":"C2","text":"The firm-clustered standard error of the slope (about 0.073) is roughly three times the conventional OLS standard error (about 0.024), so naïve inference badly understates uncertainty.","results_keys":["se_cluster","se_ols","se_cluster_ratio_to_ols"],"status":"supported","caveat":"CR1 small-sample correction; 50 clusters."},4 {"id":"C3","text":"The 95% cluster-robust confidence interval for beta is about [0.658, 0.952], which excludes zero.","results_keys":["beta_ci_low","beta_ci_high"],"status":"supported","caveat":"Uses t with G-1=49 df; relies on cluster asymptotics with 50 balanced clusters."},5 {"id":"C4","text":"All 2000 rows from 50 firms were analysed; no data issues were detected.","results_keys":["n_analysed","n_clusters","n_input_rows","data_issues"],"status":"supported","caveat":"Checks covered missing, non-finite and duplicate rows only."}6]7