Question

Based on your conditional relative frequency table, is there an association between the number of miles an individual runs per week and how many pairs of running shoes they purchase a year?

You MUST provide 1 detail from your table that supports your decision

(2 points)

Answer 1

To determine if there is an association between the number of miles an individual runs per week and how many pairs of running shoes they purchase a year, we need to analyze the conditional relative frequency table.

If, for instance, we observe that individuals who run more miles per week generally purchase more shoes compared to those who run fewer miles, this would suggest a positive association between the two variables.

**Detail from the table:** If, for example, the conditional relative frequency for individuals running 30-40 miles a week shows that 60% of them buy 3 or more pairs of shoes per year, while only 25% of those running 0-10 miles a week buy the same amount, this indicates a stronger tendency for higher shoe purchases among those who run more, supporting the decision that there is an association between running mileage and shoe purchases.

Thus, the observation of higher shoe purchases among heavier runners indicates a likely positive association.