2. Use the plot of the observed data points and the fitted line to discuss the a

Question

2. Use the plot of the observed data points and the fitted line to discuss the assumptions of linear functional form and constant variance of the observed points around the line.

Extra Info: Fat deposits in the trunk of the body may be more closely linked with bad health outcomes than fat in general.   It can be hard to measure deep abdominal adipose tissue directly.

Despres et al. proposed that waist circumference might be a good predictor variable for deep abdominal adipose tissue. (We’ll see, over the course of our work with these data, that there is an association between these variables, but that we cannot predict precisely enough to use waist circumference as a good measure of an individual’s deep abdominal fat.)

In this dataset, the individuals received CT scans and the area of deep abdominal adipose tissue was measured. Even this isn’t perfect, as it’s an area, the units are cm 2   , and not a volume!

The outcome variable is the area of deep abdominal adipose tissue from the CT scan, the explanatory variable is the individual’s waist circumference in cm.

Explanation / Answer

Answer:

2. Use the plot of the observed data points and the fitted line to discuss the assumptions of linear functional form and constant variance of the observed points around the line.

The plot shows there is linear relation between two variables.

The plot shows the points are fanned out pattern, the assumption of constant variance is violated.

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