You have sample of n = 100. Each participant has a score on three variables: Variable A, Variable B, and Variable C. If you represent the association between Variable A and Variable B on a scatterplot, how many dots will there be on the scatterplot?

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BlackTom AI · Accepted Answer

The question asks about the number of dots on a scatterplot representing the association between Variable A and Variable B for a sample of n = 100 participants.
First, recall how scatterplots are constructed: each participant provides a pair of values (A, B), one point on the plot for that participant.
Since there are 100 participants, there are 100 (A, B) pairs plotted on the scatterplot, which yields exactly 100 dots.
Note that the number of dots does not depend on the number of variables or on the range of the scores; it strictly equals the number of observations in the sample.
In this scenario, because the sample size is 100, you would expect 100 distinct points corresponding to the 100 participants. 
However, take into account that if two participants share identical (A, B) pairs, their points would overlap on the same coordinates, resulting in fewer visible unique positions, but the total number of plotted points remains 100.
Since the question asks simply for the number of dots, the straightforward interpretation is that there are 100 plotted points for 100 participants.

PSYC20009_2025_SM2 Quiz for Correlation: Part 1

You have sample of n = 100. Each participant has a score on three variables: Variable A, Variable B, and Variable C. If you represent the association between Variable A and Variable B on a scatterplot, how many dots will there be on the scatterplot?

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