Question

what is the correlation coefficient for the data shown in the table?
o 1
o -1
o 5
o 10

Explanation:

Step1: Observe data relationship

As \(x\) increases from \(0\) to \(15\), \(y\) decreases from \(15\) to \(0\) in a perfectly linear - fashion.

Step2: Recall correlation coefficient concept

A perfect negative linear relationship has a correlation coefficient of \(- 1\). A perfect positive linear relationship has a correlation coefficient of \(1\). Since \(x\) and \(y\) change in opposite directions in a perfectly linear way here, the correlation coefficient is \(-1\).

Answer:

B. -1