Suppose IQ scores were obtained from randomly selected siblings. For 20 such pai

Question

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.886 and the equation of the regression line is Modifying Above y with caret equals negative 7.01 plus 1.07 xy=7.01+1.07x, where x represents the IQ score of the younger child younger child. Also, the 20x values have a mean of 98.15 and the 20 y values have a mean of 97.95 What is the best predicted IQ of the older child older child, given that the younger child younger child has an IQ of 95? Use a significance level of 0.05. The best predicted IQ of the older child older child is ____

Explanation / Answer

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.886 and the equation of the regression line is Modifying Above y with caret equals negative 7.01 plus 1.07 x

y=7.01+1.07x, where x represents the IQ score of the younger child younger child. Also, the 20x values have a mean of 98.15 and the 20 y values have a mean of 97.95

What is the best predicted IQ of the older child older child, given that the younger child younger child has an IQ of 95? Use a significance level of 0.05.

The best predicted IQ of the older child older child is 94.64

Critical table value for correlation r with sample size 20 is 0.444.

The calculated r=0.886 is significant at 0.05 level of significance.

Predicted y when x=95,

Y =7.01+1.07*95

= 94.64

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