Worksheet 9: Correlation#
Your name:
Your student ID number:
Brainstorm ideas for quantitative measurements we could use for the strength of association between two variables.
Why does the slope of the best-fit line change when you change the units of the data?
Variability and the slope of the best-fit line. a. What is the slope of the line between the points \((0,0)\) and \((100,1)\)?
b. Explain why if the variable \(X\) varies in the range of \(0\) to \(100\), and \(Y\) varies in the range \(0\) to \(1\), then the slope of the best-fit line will probably never get close to 1.
Explain why in a standardized dataset:
a. The mean is 0
b. The standard deviation is 1
c. The data is unitless
If \(X\) and \(Y\) are correlated, can we infer that \(X\) causes \(Y\) or that \(Y\) causes \(X\)?