Researchers wish to develop a model to predict the amount of deep abdominal adip

Question

Researchers wish to develop a model to predict the amount of deep abdominal adipose tissue (AT) using waist circumference in centimeters. Ten men between the ages of 18 and 42 that were free from metabolic disease were sampled, and the amount of deep abdominal AT was measured using computed tomography. These values, as well as their waist circumference, are reported in the table below.

The LOBF from their sampled data is:

AT = -97.27 + 2.03*(circumference)

Furthermore, we know that SSE = 3280.65 and SSM = 4232.45.

A) The proportion of variability in deep abdominal AT that can be explained by the variability in waist circumference is:  

B) Compute the linear correlation coefficient:  

C) The valid prediction range (VPR) for this setting is:  to  

D) Estimate the deep abdominal AT for a man that has a waist circumference of 83.5 cm:  

E) Notice that the seventh man observed has a circumference of 83.5 cm. Find the residual value for that man:

Waist Circumference (cm) and Deep Abdominal AT Circumference 71.7 83.1 80.7 84.5 79 108.2 83.5 84.1 72.4 94.9 AT 35.5 41.2 69 90.3 65.1 102.8 97.8 95.9 33 106.2

Explanation / Answer

Researchers wish to develop a model to predict the amount of deep abdominal adip

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