Data Exploration

Visualize and interact with data by manipulating data points to observe changes.

Data Gathering

Probability of Events

Learn conditional probability using probability trees.

Probability Theory

Conditional Probability

Use sliders to explore conditional probabilities and event changes.

Probability Theory

Normal, Exponential, and Uniform Distributions

Manipulate parameters to explore continuous probability distributions.

Continuous Probability Distributions

The Law of Large Numbers

Observe the Law of Large Numbers by adjusting sample sizes and watching sample means converge.

Sampling Distributions

The Central Limit Theorem

See how larger sample sizes shape the sampling distribution toward normality.

Sampling Distributions

Confidence Intervals for the Mean, Large Sample Size

Visualize confidence intervals for the mean with large sample sizes.

Interval Estimation

Confidence Intervals for the Mean, Small Sample Size

Visualize confidence intervals for the mean with small sample sizes.

Interval Estimation

Hypothesis Testing for the Mean, Single Sample

Conduct hypothesis tests for the mean with single samples and known standard deviations.

Hypothesis Testing

Hypothesis Testing for the Mean, Double Sample

Conduct hypothesis tests for the mean using two samples with known standard deviations.

Hypothesis Testing

Type I and Type II Errors

Visualize and understand Type I and Type II errors in hypothesis testing.

Hypothesis Testing

Simple Linear Regression

Explore linear regression by adjusting data points and observing changes in the regression line.

Regression

Weighted Linear Regression

Adjust data point weights to see their impact on the weighted regression line.

Regression

Chi-Square Test for Independence

Perform chi-square tests for independence using a contingency table.

Chi-Square Test