# Statistics

## Describing Bivariate Data

1. Introduction to Bivariate Data
2. Values of the Pearson Correlation
3. Guessing Correlations Simulation
4. Properties of Pearson's r
5. Computing Pearson's r
6. Restriction of Range Demo
7. Variance Sum Law II
8. Exercises

## Probability

1. Introduction
2. Basic Concepts
3. Conditional Probability Demo
4. Binomial Distribution
5. Binomial Demonstration
6. Exercises

## Normal Distributions

1. Introduction
2. History
3. Areas of Normal Distributions
4. Varieties of Normal Distribution Demo
5. Standard Normal
6. Normal Approximation to the Binomial
7. Normal Approximation Demo
8. Exercises

## Sampling Distributions (low priority)

1. Introduction
2. Basic Demo
3. Sample Size Demo
4. Central Limit Theorem Demo
5. Sampling Distribution of the Mean
6. Sampling Distribution of Difference Between Means
7. Sampling Distribution of Pearson's r
8. Sampling Distribution of a Proportion
9. Exercises

## Estimation

1. Introduction to Estimation
2. Degrees of Freedom
3. Characteristics of Estimators
4. Bias and Variability Simulation
5. Confidence Intervals
6. Introduction
7. Confidence Interval for the Mean
8. t distribution
9. Confidence Interval Simulation
10. Confidence Interval for the Difference Between Means
11. Confidence Interval for Pearson's Correlation
12. Confidence Interval for a Proportion

## Prediction (low priroity)

1. Introduction to Simple Linear Regression
2. Linear Fit Demo
3. Partitioning Sums of Squares
4. Standard Error of the Estimate
5. Prediction Line Demo
6. Inferential Statistics for b and r