A basketball coach was puzzled because some players improved much faster than others. Emek and Luna collected each player's weekly practice hours and shooting accuracy, then plotted every pair of values on a scatterplot. Most points showed a positive relationship: players who practiced more hours generally had higher shooting accuracy. However, a few unusual points stood away from the main pattern. After discussing those players individually, the coach adjusted the training program to better match each athlete's needs. Over the following weeks, the team trained more effectively and showed steady improvement.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
A positive relationship means the two values tend to increase together.
Which statement best describes the relationship shown by most points on the basketball scatterplot?
All players have exactly the same shooting accuracy.As weekly practice hours increase, shooting accuracy generally decreases.Practice hours and shooting accuracy show no relationship.As weekly practice hours increase, shooting accuracy generally increases.Correct! More practice hours were generally connected with higher shooting accuracy.
Review what a positive relationship means on a scatterplot.
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Hint
Subtract the unusual points from the total number of points.
Emek and Luna plotted data for 15 players. If 3 points stood away from the main pattern, how many points followed the general pattern?
Correct! Twelve points followed the general pattern.
Subtract 3 unusual points from the 15 total points.
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Hint
One unusual point does not erase the pattern shown by most of the data.
One player practiced many hours but had lower shooting accuracy than most players who practiced the same amount. How should the coach interpret this point?
It is an unusual point that should be examined along with the overall trend.It proves that practicing more always lowers shooting accuracy.It should be deleted because it does not match the other points.It means the scatterplot has a negative relationship.Correct! The point should be considered individually without ignoring the overall positive trend.
Think about how one unusual point relates to the pattern shown by most points.
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