Use the image to answer the question.

Question

An illustration of a scatterplot shows x on x-axis from 65 to 75 in increments of 1 and y on the y-axis from 200 to 240 in increments of 2.5. Eleven points are plotted. The approximate plotted points are as follows: left parenthesis 65 comma 205 right parenthesis, left parenthesis 67 comma 216 right parenthesis, left parenthesis 68 comma 210 right parenthesis, left parenthesis 68 comma 218 right parenthesis, left parenthesis 69 comma 224 right parenthesis, left parenthesis 70 comma 220 right parenthesis, left parenthesis 70 comma 224 right parenthesis, left parenthesis 71 comma 230 right parenthesis, left parenthesis 72 comma 235 right parenthesis, left parenthesis 74 comma 200 right parenthesis, and left parenthesis 74 comma 240 right parenthesis.

Is there a relationship between the two sets of data? How do you know?

(1 point)
Responses

No, because the data points are close to the trend line.
No, because the data points are close to the trend line.

No, because the data points are not close to the trend line.
No, because the data points are not close to the trend line.

Yes, because the data points are not close to the trend line.
Yes, because the data points are not close to the trend line.

Yes, because the data points are close to the trend line.

Answer 1

To determine if there is a relationship between the two sets of data based on the scatterplot described, we look at how the plotted points are distributed. A strong relationship would generally be indicated by the points being close to a trend line.

Based on your description, the points include a range of values for both x and y, with some points showing a pattern of increasing y values with increasing x values. In particular, several points (e.g., (68, 210) and (68, 218), as well as points at (70, 220) and (70, 224)) illustrate that as x increases, y tends to increase as well.

Given this information and assuming the data points are reasonably close to forming a line or trend, the best answer would be:

Yes, because the data points are close to the trend line.