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Regression Analysis Mastery in R with SLR, MLR, and Logistic Regression

Duration: 6 weeks

Target Audience: R users with statistics knowledge (distributions, confidence intervals, central tendency, dispersion etc) and basic data skills, aiming to master regression techniques.

Week 1: Foundations of Regression Analysis

  • Review of statistical concepts: correlation, linearity, assumptions.
  • Overview of regression types: SLR, MLR, Logistic.
  • Assignment: Explore a dataset and check for linear relationships.

Week 2: Simple Linear Regression (SLR) in R

  • Building SLR models using lm().
  • Assessing model fit: R-squared, residuals.
  • Assignment: Fit an SLR model and interpret coefficients.

Week 3: Multiple Linear Regression (MLR) in R

  • Adding multiple predictors, handling multicollinearity.
  • Model diagnostics: VIF, residual plots.
  • Assignment: Build an MLR model and evaluate its performance.

Week 4: Logistic Regression in R

  • Fitting logistic models with glm() for binary outcomes.
  • Model evaluation: confusion matrix, ROC curve.
  • Assignment: Fit a logistic regression model for a binary outcome.

Week 5: Model Selection and Practical Applications

  • Techniques: stepwise regression, cross-validation.
  • Applying regression to real-world data with visualizations (ggplot2).
  • Assignment: Perform model selection and create a report with results.

Week 6: Capstone Project

  • Develop a regression analysis project (e.g., predicting sales or patient outcomes).
  • Use SLR, MLR, or Logistic models and present findings.
  • Final feedback session.