Question

In: Statistics and Probability

Classify the appropriate graph type(s) that can be used to show the association between the two...

Classify the appropriate graph type(s) that can be used to show the association between the two variables described in each situation.

A health researcher wants to understand the relationship between birth weight and the mother's pre‑pregnancy body mass index (BMI) when the mother is over the age of 30 at the start of the pregnancy. He plans to use the baby's birth weight and the pre‑pregnancy BMI from the mother's medical record for this sample to analyze the BMI and birth weight relationship.

A nutritionist wants to understand the relationship between nutrition and smoking status. She surveys a sample of members from different health and wellness centers who currently follow a diet plan. She collects information on the diet plan that each member follows (Mediterranean, vegetarian, low‑carb, low‑fat) and whether or not they currently smoke.

A health psychologist intends to explore the relationship between Vitamin D and depression for young adults with depression. She obtains a sample of young adult patients who experience depression and records the depression classification (mild, moderate, or severe) and she also records the Vitamin D value for each patient according to a blood test.

Answer Bank:

Box Plot

Multiple Histograms

Scatter Plot

Mosaic Plot

Strip Plot

Solutions

Expert Solution

Solution:

A health researcher wants to understand the relationship between birth weight and the mother's pre‑pregnancy body mass index (BMI) when the mother is over the age of 30 at the start of the pregnancy. He plans to use the baby's birth weight and the pre‑pregnancy BMI from the mother's medical record for this sample to analyze the BMI and birth weight relationship.

Answer: Scatter plot

Because the variables under consideration are continuous. Therefore, it would be appropriate to use the scatterplot to determine the relationship between the two variables.

A nutritionist wants to understand the relationship between nutrition and smoking status. She surveys a sample of members from different health and wellness centers who currently follow a diet plan. She collects information on the diet plan that each member follows (Mediterranean, vegetarian, low‑carb, low‑fat) and whether or not they currently smoke.

Answer: Mosaic plot

Because we are given the two categorical variables and it would be appropriate to use Mosaic plot to explore the relationship between the two variables.

A health psychologist intends to explore the relationship between Vitamin D and depression for young adults with depression. She obtains a sample of young adult patients who experience depression and records the depression classification (mild, moderate, or severe) and she also records the Vitamin D value for each patient according to a blood test.

Answer: Multiple Histograms

Because we can create three histograms for three depression classifications and create the histogram for each category.


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