A (hypothetical) study tries to predict a child\'s IQ based on their mothers IQ.

Question

A (hypothetical) study tries to predict a child's IQ based on their mothers IQ. The study is summarized as follows Average mother's IQ: 120 SD-5 Average child's IQ:100 0.7 Based on this summary the regression equation is: Predicted child's IQ- SD-15. (mothers IQ) You must provide work for this problem. This is a continuation of the previous question. If you predicted a child's IQ, without any additional information, it would be be Given that the mother's IQ was 150, you would predict the child's IQ to

Explanation / Answer

1)here slope b1 =r*Sy/Sx =0.7*15/5=2.1

and intercept bo=Ybar-b1*Xbar =100-120*2.1=-152

hence predicted child IQ =2.1*mother;s IQ +(-152)

2)(i) for if you predict.......it would be 100

mother's z score =(150-120)/5=6

hence child's z score =r*zx =0.7*6=4.2

predicted child score =100+4.2*15=163

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