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A day care teacher took a random sample of 14 children between the ages of 0 and 24 months and measured the number ear infections they have had. The data that the teacher collected is given in the table.


Age (in months) Number of Ear Infections
1 0
3 0
6 1
9 3
11 1
12 3
15 7
17 3
18 4
19 2
20 18
21 4
22 10
24 12


Part A: Would a scatter plot or line graph be more appropriate for displaying and describing the relationship between the age and the number of ear infections? Explain your reasoning. (4 points)

Part B: If you were to add an outlier to the graph, describe the data point and what it represents in the real-world situation. (4 points)

Part C: Describe the type and degree of association between age and number of ear infections. (4 points)



Answer :

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Part A: A scatter plot would be more appropriate for displaying and describing the relationship between age and the number of ear infections. A scatter plot is ideal for showing the relationship between two continuous variables, such as age and the number of ear infections, without assuming a specific pattern or trend. Each data point represents a unique combination of age and the corresponding number of ear infections, allowing for a visual examination of any potential relationship between the two variables.

Part B: If an outlier were added to the graph, it would represent a data point that deviates significantly from the overall pattern of the data. For example, if a 24-month-old child had an unusually high number of ear infections compared to the other children in the sample, this data point would be considered an outlier. It could represent a child with a particularly weak immune system or a predisposition to ear infections, leading to a higher-than-average number of infections.

Part C: The type of association between age and the number of ear infections appears to be positive and linear.