Exploring bivariate numerical data videos

Constructing a scatter plot

Example of direction in scatterplots

Scatter plot: smokers

Bivariate relationship linearity, strength and direction

Example: Correlation coefficient intuition

Calculating correlation coefficient r

Estimating the line of best fit exercise

Fitting a line to data

Estimating with linear regression (linear models)

Line of best fit: smoking in 1945

Calculating residual example

Calculating the equation of a regression line

Introduction to residuals and least squares regression

Interpreting slope of regression line

Interpreting y-intercept in regression model

Interpreting a trend line

Residual plots

R-squared or coefficient of determination

Standard deviation of residuals or Root-mean-square error (RMSD)

Interpreting computer regression data

Impact of removing outliers on regression lines

Squared error of regression line

Proof (part 1) minimizing squared error to regression line

Proof (part 3) minimizing squared error to regression line

Proof (part 2) minimizing squared error to regression line

Regression line example

Proof (part 4) minimizing squared error to regression line

Second regression example

Calculating R-squared

Covariance and the regression line