En el presente apartado, se abordarán cinco distribuciones estadísticas y probabilísticas, contemplando su visión gráfica y aplicación al lenguaje Rstudio

2020 bat emergence times relative to sunset and the air temperature at the time of emergence

Anahí Marín Isabella Escobar

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Exploring dataset through various visualizations to better understand sleep health.

Documento referente à atividade 11 da cadeira de CPAD - BCC - UFRPE

Logistic Regression Analysis This analysis examined crime rates across 466 Boston neighborhoods using logistic regression to predict whether areas exceed the median crime rate. The dataset contained 12 predictor variables including residential zoning (zn), pollution levels (nox), housing characteristics (rm, age), accessibility metrics (dis, rad), and socioeconomic indicators (lstat, medv), with no missing values. Data preparation involved log-transforming right-skewed variables (nox, lstat) and addressing multicollinearity by removing highly correlated predictors—specifically dropping tax (correlated 0.91 with rad), indus (correlated 0.76 with nox), and medv (correlated -0.74 with lstat)—reducing all VIF values below 5. Three models were developed: Model 1 used all prepared variables, Model 2 applied stepwise selection for parsimony, and Model 3 incorporated interaction terms (rm × lstat) and polynomial features (rm²) to capture non-linear relationships. Model 2 emerged as the optimal choice, balancing predictive accuracy (88.6% accuracy, 0.874 precision, 0.865 specificity) with model simplicity (lowest AIC=232.6, BIC=269.9), retaining eight significant predictors including nox_log, rad, dis, and rm while excluding the theoretically problematic lstat_log variable that showed a counter-intuitive negative coefficient in Model 1. Despite Model 1's marginally better performance metrics, an ANOVA test revealed no significant improvement from the additional variable (p=0.63), confirming Model 2 as the most parsimonious and interpretable model for predicting high-crime neighborhoods.