Trend Lines Quick Check

Question

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Question
Use the image to answer the 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 not close to the trend line.
No, 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.

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

Answer 1

To determine whether there is a relationship between the two sets of data based on the scatterplot description:

Given the various points plotted around the x-axis (ranging from 65 to 75) and the y-axis (ranging from 200 to 240), the presence of points that follow a certain direction suggests a possible trend.

Based on the description, many of the points are clustered together, indicating that there is some consistency in their arrangement rather than randomness, which implies a potential relationship.

Therefore, the correct response would be:

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