Question 22·Easy·Two-Variable Data: Models and Scatterplots
The scatterplot shows the number of errors a student made on a quiz after studying for hours.
Which choice best describes the association between and shown in the scatterplot?
For association questions, do not compute anything. Just scan the scatterplot from left to right: if the points rise overall, the association is positive; if they fall overall, the association is negative; if there is no clear direction, there is no association.
Hints
Scan left to right
Compare the -values of points with small to the -values of points with large .
Think about direction
If the points go down as you move right, the association is negative; if they go up as you move right, the association is positive.
Ignore small irregularities
Focus on the overall pattern of the points, not whether every single point follows it perfectly.
Desmos Guide
Plot the points
Enter the points from the scatterplot into Desmos using a table (put the -values in the first column and the -values in the second column).
Check the direction
Look at the plotted points: as you move to the right (increasing ), see whether the points generally go up or down.
Choose the matching statement
Select the answer choice that matches whether the points generally go up (positive association), go down (negative association), or show no clear pattern.
Step-by-step Explanation
Identify the overall trend
Look at how the points move as you go from smaller -values to larger -values.
Match the trend to an association description
The points generally go downward as increases, so tends to decrease as increases. Therefore, the correct choice is As increases, tends to decrease.