Ch. 5 Joint Probability

Sections covered: 5.1, 5.2

5.1 Jointly Distributed Random Variables

Skip everything but “Two Discrete Random Variables” pp. 199-200

and “Independent Random Variables” pp. 204-205 (discrete case only)

Interactive

Click anywhere on the graph to add points. The correlation coefficient will be calculated.

The correlation coefficient (r) is a measure of the linear relationship between two variables x and y. To get a sense of the connection between the appearance of points – (x,y) pairs – in a scatterplot and the value of r, click anywhere on the graph to add points. To remove points, click the Remove points button and then mouseover points.

 Add points  Remove points

Two points are needed to calculate r.

5.2 Expected Values, Covariance, and Correlation

Skip everything but “Covariance” pp. 214-216 and “Correlation” pp. 216-218

Re: “Covariance” section: focus only on the concept of covariance explained in the text. You do not need to know any of the formulas or examples on pp. 214-215.

Resources

Correlation and Covariance Visualization

https://shiny.rit.albany.edu/stat/rectangles/