Question

practice

1. determine whether each scatterplot represents a linear relationship,

a non - linear relationship, or no relationship.
(there are four scatterplots labeled a, b, c, d with grids and data points. the specific content of the scatterplots is as shown in the image.)

Explanation:

Step1: Analyze Scatterplot a

Check the pattern of points. The points are randomly scattered with no clear trend (linear or non - linear). So, it has no relationship.

Step2: Analyze Scatterplot b

The points seem to follow a straight - line (linear) trend as x increases, y decreases in a relatively straight - line manner. So, it represents a linear relationship.

Step3: Analyze Scatterplot c

The points follow a straight - line (linear) trend as x increases, y increases in a relatively straight - line manner. So, it represents a linear relationship.

Step4: Analyze Scatterplot d

The points seem to follow a curve - like (non - linear) trend. As x increases, y first decreases and then increases in a non - linear way. So, it represents a non - linear relationship.

Answer:

a. No relationship; b. Linear relationship; c. Linear relationship; d. Non - linear relationship