Question

what is the correlation coefficient for the data shown in the table?
0
1
4
5

Explanation:

Step1: Recall correlation - coefficient concept

The correlation coefficient $r$ measures the strength and direction of a linear relationship between two variables. If all data points lie on a straight - line with a positive slope, $r = 1$.

Step2: Analyze the given data

The data points are $(0,0)$, $(1,1)$, $(4,4)$, $(5,5)$. The equation of the line passing through these points is $y=x$, which is a straight - line with a positive slope. All the points lie exactly on this line.

Answer:

1