IM Alg1.3.3 Lesson: Associations in Categorical Data
The table displays the dessert preference and dominant hand (left- or right-handed) for a sample of 300 people.
67% from
30% from
The two-way table displays data about 55 different locations.
 | They first look at how nitrate concentration might be related to coral health. The table displays the health of the coral (healthy or unhealthy) and nitrate concentration (low or high). |
When there is a low nitrate concentration, which had a higher relative frequency, healthy or unhealthy coral?
When there is a high nitrate concentration, is there a higher relative frequency of healthy or unhealthy coral?
Based on this data, is there a possible association between coral health and the level of nitrate concentration? Explain your reasoning.
The scientists next look at how silicon dioxide concentration might be related to coral health. The relative frequencies based on the total for each column are shown in the table. Based on this data, is there a possible association between coral health and the level of silicon dioxide concentration? Explain your reasoning.
Jada surveyed 300 people from various age groups about their shoe preference.
The two-way table summarizes the results of the survey.
The two-way table summarizes data on writing utensil preference and the dominant hand for a sample of 100 people.
Is there a possible association between dominant hand and writing utensil preference? Explain your reasoning.
The incomplete two-way table displays the results of a survey about the type of sports medicine treatment and recovery time for 33 student athletes who visited the athletic trainer.
What 2 values could you use to complete the two-way table to show that there is an association between returning to playing in less than 2 days and the treatment (ice or heat)? Explain your reasoning.
What 2 values could you use to complete the two-way table to show that there is no association between returning to playing in less than 2 days and the treatment (ice or heat)? Explain your reasoning.
Which 2 values were easier to choose, the 2 values showing an association, or the 2 values showing no association? Explain your reasoning.
Work with your group:
Identify a pair of categorical variables you think might be associated and another pair you think would not be associated.
Explain or show why there appears to be an association for the first pair of variables and why there appears to be no association for the other pair of variables.