Assume that you have paired values consisting of heights (in inches) and weights

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 0.439. 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 0.807. 19.3% of the variation is explained by the B. The coefficient of determination is 0.807. 80.7% of the variation is explained by the C. The coefficient of determination is 0.193. 19.3% of the variation is explained by the D. The coefficient of determination is 0.193. 80.7% of the variation is explained by the linear correlation, and 80.7% is explained by other factors linear correlation, and 19.3% is explained by other factors linear correlation, and 80.7% is explained by other factors linear correlation, and 19.3% is explained by other factors

Explanation / Answer

Coefficient of determination = r2 = (0.439) 2 = 0.193

Coefficient of determination gives us the idea of percentage of variation in response which is explained by the linear relationship between response and explanatory variables

Answer is

(C) the coefficient of determination is 0.193. 19.3% variation is explained by the linear correlation. And 80.7 % is explained by other factors.

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