what is the correlation coefficient for the data shown in the table? 1 -1 5 10
what is the correlation coefficient for the data shown in the table? 1 -1 5 10
Answer
Explanation:
Step1: Recall correlation - coefficient concept
The correlation coefficient $r$ ranges from - 1 to 1. A value of $r = 1$ indicates a perfect positive linear relationship, $r=-1$ indicates a perfect negative linear relationship, and $r = 0$ indicates no linear relationship.
Step2: Analyze the data relationship
As $x$ increases from 0 to 15, $y$ decreases from 15 to 0 in a linear - like fashion. For every increase in $x$ by 5 units, $y$ decreases by 5 units. This is a perfect negative linear relationship.
Answer:
B. -1