Introduction to the Correlation Coefficient
Prediction
In 8th grade, you talked about [i]correlation[/i] given a set of data while predicting a line of best fit. [br]Looking at the picture of the two graphs above. Each of these has a positive correlation, do you predict that the relationships are equally as strong?
Explore how data sets correspond to the correlation coefficient and interpret its meaning.
Putting It All Together
[i]Use the above simulation to answer the questions.[/i]
What does it mean when [math]r=-1[/math]?
What does it mean when [math]r=1[/math]?
In your own words, describe what a data set might look like if [math]r=-0.2[/math]?
Enrichment
What would a graph with a correlation coefficient of 0 look like? What does that specifically mean about the data?[br]
Final Check In
If you are told a data set shows a linear relationship, what could you expect to see for the correlation coefficient [math]r[/math]?