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 0.915 and the equation of the regression line is ý 5.66+ 0.96x, where x represents the 1Q score of the husband Also, the 20 x values have a mean of 100.25 and the 20 y values have a mean of 101.4. What is the best predicted 1Q of the wife, given that the husband has an IQ of 109? Use a significance evel of 0.05 Click the icon to view the critical values of the Pearson correlation coefficient r The best predicted IQ of the wife is Round to two decimal places as needed)

Explanation / Answer

The linear correlatio coefficient is significant and hence, we can use regression equation to predict the value of y.

For x = 109,

Best predicted IQ of wife = 5.66 + 0.96(109) = 110.30

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