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PART E โ€” KEY FORMULAS & CONCEPTS CHEAT SHEET

Statisticsโ€‹

ConceptFormula
Meanฮผ = ฮฃxแตข / N
Varianceฯƒยฒ = ฮฃ(xแตข - ฮผ)ยฒ / N
Standard Deviationฯƒ = โˆš(Variance)
Pearson Correlationr = Cov(X,Y) / (ฯƒโ‚“ ร— ฯƒแตง)
Z-scorez = (x - ฮผ) / ฯƒ
Confidence Interval (95%)xฬ„ ยฑ 1.96 ร— (ฯƒ / โˆšn)

ML Evaluation Metricsโ€‹

MetricFormulaWhen to Use
Accuracy(TP+TN) / TotalBalanced classes only
PrecisionTP / (TP+FP)When false positives are costly (spam detection)
RecallTP / (TP+FN)When false negatives are costly (churn, disease)
F1-Score2 ร— (Pร—R) / (P+R)Balance between precision and recall
AUC-ROCArea under ROC curveOverall model discrimination ability
MAPEMean(Actual-Predicted