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Unit 1: Exploring Univariate Data

1.1 Introduction to Statistics & Variables

1.2 Categorical Data Display & Analysis

1.3 Representing Quantitative Data (Graphs)

1.4 Describing Distributions (C.U.S.S.)

1.5 Summarizing Quantitative Data (Calculations)

1.6 Relative Location (Z-Scores & Percentiles)

Unit 2: Exploring Bivariate Data

2.1 Relationships between Two Variables

2.2 Correlation Coefficient (r) Properties

2.3 Least Squares Regression Line (LSRL)

2.4 Residual Plots & Model Assessment

2.5 Transformations for Non-Linear Data

2.6 Regression Case Study: Parkinson's Data

Unit 3: Data Collection & Design

3.1 Introduction to Data Collection

3.2 Sampling Methods (SRS, Stratified, Cluster)

3.3 Identifying Sampling Bias & Undercoverage

3.4 Observational Studies vs. Experiments

3.5 Principles of Experimental Design

3.6 Inferences for Sampling & Experiments

Unit 4: Probability Foundations

4.1 Randomness, Probability & Simulations

4.2 Basic Probability Rules & Complements

4.3 Two-Way Tables & Venn Diagrams

4.4 Conditional Probability & Independence

4.5 Multiplication Rule & Tree Diagrams

4.6 Probability Distributions & Study Guide

Unit 5: Normal Distributions & Center

5.1 Measures of Central Tendency (Mean/Median)

5.2 Measures of Variation & Spread

5.3 The Standard Normal Distribution

5.4 Normal Curve Calculations & Best Fit

5.5 Modeling with Normal Distributions

5.6 Comparing Linear & Exponential Functions

Unit 6: Combinatorics & Random Variables

6.1 Fundamental Counting Principle

6.2 Permutations & Factorials

6.3 Combinations (Order Independent)

6.4 Counting with Repetition

6.5 Discrete Random Variables & Expected Value

6.6 Binomial Probability & Normal Approximation