Assume that you have paired values consisting of heights (in inches) and weights
ID: 3220867 • Letter: A
Question
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.522. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. A. The coefficient of determination is 0.272. 72.8% of the variation is explained by the linear correlation, and 27.2% is explained by other factors. B. The coefficient of determination is 0.728. 27.2% of the variation is explained by the linear correlation, and 72.8% is explained by other factors. C. The coefficient of determination is o.728. 72.8% of the variation is explained by the linear correlation, and 27.2% is explained by other factors. D. The coefficient of determination is 0.272. 27.2% of the variation is explained by the linear correlation, and 72.8% is explained by other factors.Explanation / Answer
Sol:
Given corr coeff=r=0.522
Coefficient of determination=R sq=0.522*0.522=0.272
that is 27.2% varitaion in Y is explained by model rest 100-27.2=72.8% remains unexplained
ASNSWER D FROM CHOICES