Suppose IQ scores were obtained from randomly selected couples. For 20 such pair

Question

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.919 and the equation of the regression line is Modifying Above y with caret xy=14.4+1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 98.54 and the 20 y values have a mean of 97.9. What is the best predicted IQ of the wife, given that the husband has an IQ of 98? Use a significance level of 0.05. LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted IQ of the wife is

Explanation / Answer

Given the Regression Equation

Y = -14.4 + 1.14 X

Where Y: IQ score of wife X: IQ score of husband

For the given IQ score of husband X = 98, the best IQ score of wife is

Y = -14.4 + 1.14 (98)

= -14.4 + 111.72

= 97.32

So the best predicted IQ score of wife is 97.32

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