Use the image to answer the question.

Question

An illustration shows a graph with the x-axis ranging from 0 to 10 in increments of 1 and the y-axis ranging from 0 to 35 in increments of 5. 10 points are plotted.
The plotted points are: left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 25 right parenthesis, left parenthesis 4 comma 30 right parenthesis, left parenthesis 5 comma 35 right parenthesis, left parenthesis 6 comma 35 right parenthesis, left parenthesis 7 comma 30 right parenthesis, left parenthesis 8 comma 25 right parenthesis, left parenthesis 9 comma 20 right parenthesis, and left parenthesis 10 comma 15 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 can analyze the trend of the plotted points.

The points plotted are:

• (1, 10)
• (2, 20)
• (3, 25)
• (4, 30)
• (5, 35)
• (6, 35)
• (7, 30)
• (8, 25)
• (9, 20)
• (10, 15)

Looking at these points, we can observe the following:

• The values increase from (1, 10) to (5, 35), indicating an upward trend.
• However, after reaching the maximum at (5, 35), the y-values decrease again from (6, 35) to (10, 15).

This pattern illustrates that the relationship between the x-values and y-values is not consistently increasing or decreasing; rather, it forms a peak and then decreases. This behavior indicates a non-linear association.

Therefore, the answer is: 2 for non-linear.