Question

Question

Use the image to answer the 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)
Remaining Attempts : 3

Answer 1

To determine whether the scatterplot represents a linear or non-linear association, we can analyze the pattern formed by the plotted points.

The points you provided are:

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

Looking at these points, we can see that as the x-values increase, the y-values decrease. However, the rate of decrease is not consistent. The values drop steeply at first, with larger decreases between consecutive points, and then the decreases become smaller as the x-values increase (for example, the difference between (90, 200) and (80, 250) is 50, while the difference between (40, 350) and (50, 325) is only 25).

This suggests that the association is not linear, as a linear relationship would have a constant rate of change.

Based on this reasoning, the scatterplot is non-linear.

The answer is 2 for non-linear.