A researcher finds a correlation of r =.6 between IQ and creativity scores for a

Question

A researcher finds a correlation of r =.6 between IQ and creativity scores for a sample of n = 20 college students. Using these data, the researcher computes a regression equation for predicting creativity scores from IQ.

a.)What percentage of the variance in creativity scores is predicted from IQ? (2 points)

b.) What percentage of vairance is NOT predicted?

c.) If MSR = 3.6 and MSE = .356, does the regression equation predict a significant portion of the variance in creativity? (Conduct an f test and 4-step hypothesis test)

Explanation / Answer

a) percentage of the variance in creativity scores is predicted =r2 =0.36 ~ 36.0%

b)  percentage of vairance is NOT predicted =1-r2 =0.64 ~ 64%

c)here test statistic F =MSR/MSE =(3.6/0.356) =10.112

for degree of freedom of regression =variables-1=2-1 =1

and degree of freedom of errror =n-variables =20-2=18

for (1,18) degreee of freedom and above F test statistic p value =0.0052

as p value is significantly low we can conclude that regression equation predict a significant portion of the variance in creativity

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