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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.
Yes, because the data points are close to the trend line.
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Answer 1

To determine if there is a relationship between the two sets of data represented in the scatterplot, we can analyze the distribution of the plotted points.

From the description, it seems that there are points that generally show a trend where as the values on the x-axis increase (from 65 to 75), the values on the y-axis also tend to increase, indicating a positive correlation.

If the data points are close to a trend line, this would suggest that there is indeed a relationship between the two variables. Therefore, based on the given options, the correct response would be:

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