A researcher wants to predict IQ (intelligencescores) from shoe size. He finds t

Question

A researcher wants to predict IQ (intelligencescores) from shoe size. He finds that 25% of the people who haveabove average IQ also have above average shoe size, 25% who havebelow average IQ have below average shoe size, 25% who have belowaverage IQ have above average shoe size and 25% who have aboveaverage IQ also have below average shoe size. What is the bestanswer?

Choose one answer.

a. We fail to reject the null hypothesis thatcorrelation is zero, but since we do not have the slope and itsstandard error, we cannot know if we should reject or fail toreject the null hypothesis that the slope is zero.

b. From the description of the data it looks likethe relationship between shoe size and IQ is nonliner and U shapeand so we cannot use shoe size to predict IQ scores.

c. We reject the null hypothesis that correlationis zero and we also reject the null hypothesis that the slope iszero and conclude that shoe size is a significant predictor ofIQ.

d. We fail to reject the null hypothesis thatcorrelation is zero and also fail to reject the null hypothesisthat the slope of the regression line is equal to zero.

a. We fail to reject the null hypothesis thatcorrelation is zero, but since we do not have the slope and itsstandard error, we cannot know if we should reject or fail toreject the null hypothesis that the slope is zero.

b. From the description of the data it looks likethe relationship between shoe size and IQ is nonliner and U shapeand so we cannot use shoe size to predict IQ scores.

c. We reject the null hypothesis that correlationis zero and we also reject the null hypothesis that the slope iszero and conclude that shoe size is a significant predictor ofIQ.

d. We fail to reject the null hypothesis thatcorrelation is zero and also fail to reject the null hypothesisthat the slope of the regression line is equal to zero.

Explanation / Answer

c. We reject the null hypothesis that correlationis zero and we also reject the null hypothesis that the slope iszero and conclude that shoe size is a significant predictor ofIQ.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.