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.

Question

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

(1 point)
Responses

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

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

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

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

Answer 1

To determine if there is a relationship between the two sets of data based on the given points in the scatterplot, we need to analyze the distribution and arrangement of the points.

The approximate plotted points suggest that as the x-values increase (from 65 to 75), the y-values show some variation; however, most of the points appear to follow a general trend where higher x-values correspond to higher y-values (e.g., the points at (71, 230) and (72, 235) are relatively high compared to (65, 205) and (69, 224)).

Despite some variability, the presence of points clustering around a certain trend suggests a potential positive correlation.

Therefore, the most appropriate response based on the observed behavior of the plotted points is:

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