To identify which pair of variables would be represented by a scatterplot with a positive correlation, we need to analyze each option:
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A person's height and the person's grade on the math test: There is no clear positive correlation between height and math test grades; these two variables are not inherently related.
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The depth of the water in a pond and the amount of rainfall: Generally, as the amount of rainfall increases, the depth of the water in the pond also increases, suggesting a positive correlation.
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The number of miles driven and the number of people on the bus: Typically, as the number of miles driven increases, the number of people on the bus could decrease (if buses are driving more empty routes), or there may be little to no correlation, depending on the context.
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The number of concert tickets purchased and the number of concert tickets still available for purchase: These two variables have an inverse relationship; as the number of tickets purchased increases, the number of tickets still available decreases.
Based on this analysis, the pair that would show a positive correlation is:
The depth of the water in a pond and the amount of rainfall.
1 answer