Trend Lines Quick Check

Question

1 of 51 of 5 Items
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

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.

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.
Skip to navigation

Answer 1

To determine if there is a relationship between the two sets of data in the scatterplot, we need to evaluate how closely the data points cluster around a hypothetical trend line.

Given that the points have various y-values for relatively close x-values, it seems there is some variability. However, without seeing the scatterplot, we cannot definitively assess the closeness of the points to a trend line.

Generally, if the majority of points cluster closely, it suggests a strong relationship (positive or negative) between the x and y values. Conversely, if they're spread out and do not show any pattern, it suggests a weak or no relationship.

In this case, the correct response would be:

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

This option indicates that a relationship likely exists, assuming the points indeed cluster around the trend line as described.