what is the correlation coefficient for the data shown in the table?\no 1\no -1\no 5\no 10

Explanation:

Step1: Recall correlation coefficient concept

The correlation coefficient $r$ ranges from - 1 to 1. A value of 1 indicates a perfect positive linear relationship, - 1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship.

Step2: Analyze data trend

As $x$ increases from 0 to 15, $y$ decreases from 15 to 0 in a linear - like fashion.

Step3: Determine correlation coefficient

Since there is a perfect negative linear relationship between $x$ and $y$, the correlation coefficient $r=-1$.

Answer:

-1