PLEASE PLEASE HELP VERY VERY IMPORTANT Suppose IQ scores were obtained from rand

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PLEASE PLEASE HELP VERY VERY IMPORTANT

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.911 and the equation of the regression line is y cap = -7.53 + 1.06x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 97.32 and the 20 y values have a mean of 95.15. What is the best predicted IQ of the younger child, given that the older child has an IQ of 102? Use a significance level of 0.05. The best predicted IQ of the younger child is .

Explanation / Answer

Answer to the question)

The critical value of r for df = 19 , and alpha = 0.05 is 0.456

r = 0.911

x = 102

y = -7.53 +1.06x

Since the r critical value 0.466 is less than the actual r value 0.911 , we consider this model to be significant enough to provide the best prediction of Y value

for x = 102, y = -7.53 + 1.06 *102

Y = 100.59

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