A running shoe company is collecting data on long-distance runners. The company’s research analyst asked runners how many pairs of running shoes they purchase each year and how many miles they run each week, on average. The results are summarized in the table. 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 per year. Create a conditional relative frequency table of the data. Use your table to support your reasoning. Explain your reasoning in 3–5 sentences. (4 points)
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 per year, we can create a conditional relative frequency table. The table would show the percentage of individuals who fall into each combination of miles run per week and pairs of running shoes purchased per year categories. By examining the percentages in the table, we can see if there is a pattern or trend between the two variables. If the percentages are consistent across categories, it suggests there is no association. However, if we see higher percentages in certain combinations, it may indicate a relationship between the number of miles run per week and pairs of running shoes purchased per year.
