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Worksheet 36 Coefficient of Determination Riddle: Why is the government certain that there is no life on Mars? DIRECTIONS: To find the answer to the riddle, write the answer to each question in the space immediately below it. In the solution section, the word in parentheses next to the answer to the first question is the first word in the answer to the riddle, the word beside the answer to the second question is the second word, and so on. 1. "For an r of .55, 55% of the variance on one variable is accounted for by the vari- ance on the other." Is this statement true or false? 2. If r = .24, what is the value of r2 (rounded to the nearest hundredths' place)? 3. If r= .47, what is the value of the coefficient of determination? 4. Is r or re a more direct indicator of variance accounted for? 5. If r= .88, what percentage of the variance on one variable is accounted for by the variance on the other? ance on the other? 6. If r=.66, is the majority of the variance on one variable accounted for by the vari