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A university admissions office is studying indicators of high school students’ eventual college performance measure by...

A university admissions office is studying indicators of high school students’ eventual college performance measure by their grade point averages and class rank. The coefficient of determination between college GPA and high school GPA is found to equal .81. The coefficient of determination between college GPA and high school rank is found to be equal to .64. Based on this information, which of the following is true?

Group of answer choices

College GPA can be perfectly predicted when using both high school rank and high school GPA.

High school rank is a better predictor of College GPA than high school GPA.

81% of the variation in college GPA can be explained by high school GPA.

90% of the variation in College GPA can be explained by high school GPA.

80% of the variation in College GPA can be explained by high school rank.

math   Statistics-And-Probability   
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Answer #1

Coefficient of determination between college GPA and high school GPA is 0.81 given

Hence, Option C) 81% of the variation in college GPA can be explained by high school GPA. is the right answer because coefficient of variation used to inform about how much variation can be explained.

Please comment if any doubt. Thank you.

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