Question

determine the type of correlation represented in the scatter plot below. answer attempt 2 out of 2 the graph shows a perfect positive correlation a strong positive correlation a weak positive correlation no correlation a weak negative correlation a strong negative correlation a perfect negative correlation

Explanation:

Step1: Analyze the trend of the scatter - plot

In a positive correlation, as \(x\) increases, \(y\) tends to increase. In a negative correlation, as \(x\) increases, \(y\) tends to decrease. Here, the general trend of the scatter - plot is that as \(x\) increases, \(y\) decreases. So it is a negative correlation.

Step2: Determine the strength of the correlation

A perfect correlation has all the data points lying on a straight line. A strong correlation has data points closely clustered around an imaginary line. A weak correlation has data points more spread out from an imaginary line. The data points in the given scatter - plot are not closely clustered around a single straight line, so it is a weak correlation.

Answer:

a weak negative correlation