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?

Answer 1

Based on the scatterplot, it appears that there is a positive relationship between the two sets of data. As the x-values increase, the y-values also tend to increase. This can be seen by observing the general trend of the points moving from the bottom left to the top right of the plot. Additionally, there does not appear to be any clear pattern of the points deviating significantly from this trend. This suggests that there may be a positive linear relationship between the two sets of data.