IM1.8.5 Correlation Coefficient 1
Explore 1
I'm not going to tell you what the correlation coefficient (CC) is, because I want to see if you can figure it out. Move the points below to explore different values of the CC. Here are some guiding questions that I'll expect you to be able to answer at the end of this activity.
1. What does the CC measure?
2. What is the range of possible values for the CC?
3. What do scatterplots look like when the CC is positive? Negative? 0?
Explore 2
Move the sliders below to explore different values of the CC and their relationship to slope. Here are some guiding questions that I'll expect you to be able to answer at the end of this activity.
1. What does the CC measure?
2. What is the range of possible values for the CC?
3. What do scatterplots look like when the CC is positive? Negative? 0?
4. What is the relationship between the slope of a line of best fit (LOBF) and the CC?
Explore 3
Now for the test. Choose which scatter plot matches the question the best. Here are some guiding questions that I'll expect you to be able to answer at the end of this activity.
1. What does the CC measure?
2. What is the range of possible values for the CC?
3. What do scatterplots look like when the CC is positive? Negative? 0?
4. What is the relationship between the slope of a LOBF and the CC?
5. What variable is used to represent the CC?