Question

a hair stylist made the following scatterplot to show the number of haircuts her customers get each year as it relates to their age. which of the following best describes the correlation for the data? nonlinear correlation positive correlation no correlation negative correlation

Explanation:

Step1: Recall correlation concepts

Positive correlation: as \(x\) (age) increases, \(y\) (haircuts) tends to increase. Negative correlation: as \(x\) increases, \(y\) tends to decrease. Non - linear correlation: pattern is not a straight - line trend. No correlation: no discernible pattern.

Step2: Analyze the scatter - plot

Looking at the scatter - plot of age (\(x\)) and haircuts per year (\(y\)), as the age of the customer (\(x\)) increases, the number of haircuts per year (\(y\)) also generally increases. The points follow an upward - sloping trend (though not perfectly linear, but the general direction is positive).

Answer:

Positive correlation