2 -"Body Composition Measurement in 9-11-yr.-old Children by Dual- Energy X-Ray Absorptionetry, Skinfold-Thickness Measurements, and Bioimpedance Analysis" Gutin et al. American Journal of Clinical Nutrition Note: this paper is on the D2L site under Gutin Article. In this study Gutin et al. compared three measurements of body composition, including dual-energy X-ray absorptionetry (DXA). Subjects were apparently healthy children (21 boys and 22 girls) between the ages of 9 and 11 years. Among the data collected were the following measurements of body-composition compartments by DXA. The investigators are interested in the correlation between all possible pairs of these variables. The variables are contained in the file Gutin DMX.JMP are: Percent fat (PERFAT) . Fat Mass (FATMASS) Fat-Free Mass (FATFREE) . . Bone Mineral Content (BMC) Fat-Free Soft Tissue (FATFREESOFT) a) Construct a scatter plot matrix, then find appropriate pair-wise correlations for these data and test whether the population correlation significantly differs from 0. (8 pts.) Complete the table, correlation and p-value, below using an appropriate correlation measure for these data. Use the same measure for all pairs. correlation PERFAT FATMASS | FATFREE BMC FATFREESOFT (p-value PERFAT FATMASS FATFREE BMC FATFREESOFT b) Which pair of variables exhibits the strongest degree of correlation? The weakest? (2 pts.) c) Fit the model E(FATMASS|PERFAT) = B. + B, PERFAT and check the model assumptions. Which assumptions, if any, are violated? Explain. (4 pts.)