Use the image to answer the question.

Question

An illustration shows a graph with the x-axis ranging from 0 to 100 in increments of 5 and the y-axis ranging from 0 to 500 in increments of 50. 9 points are plotted.
There is a break from 0 to 20 on the x-axis. The plotted points are: left parenthesis 20 comma 450 right parenthesis, left parenthesis 25 comma 425 right parenthesis, left parenthesis 30 comma 400 right parenthesis, left parenthesis 35 comma 375 right parenthesis, left parenthesis 40 comma 350 right parenthesis, left parenthesis 50 comma 325 right parenthesis, left parenthesis 70 comma 275 right parenthesis, left parenthesis 80 comma 250 right parenthesis, and left parenthesis 90 comma 200 right parenthesis.

Determine if the scatterplot is of linear or non-linear association. Select 1 for linear. Select 2 for non-linear.

(1 point)

Answer 1

To determine whether the scatterplot represents a linear or non-linear association, we need to observe the pattern of the plotted points.

The points plotted are:

• (20, 450)
• (25, 425)
• (30, 400)
• (35, 375)
• (40, 350)
• (50, 325)
• (70, 275)
• (80, 250)
• (90, 200)

By examining the values, we can see that as the x-values increase, the y-values consistently decrease. The rate of decrease is not uniform; the points appear to form a downward trend but with varying distances between them, suggesting that the relationship is not constant.

A linear association would show a straight line trend, with equal spacing between the y-values for equal increments in x-values. Here, the decreases in y-values become less significant as the x increases, which indicates a non-linear trend.

Based on this analysis, the scatterplot represents a non-linear association.

Therefore, the answer is 2 for non-linear.