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 0.894 and the equation of the regression line is y = -17.61 + 1.18x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 95.94 and the 20 y values have a mean of 95.25. What is the best predicted IQ of the wife, that the husband has an IQ of 93? Use a significance level of 0.05. The best predicted IQ of the wife is _____ (Round to two decimal places as needed.)

Explanation / Answer

The regression equation here is the best predicted equation.

The IQ score of the wife, y = -17.61 + 1.18*x, where x is the IQ score of the husband.

Given the IQ score of the husband is 93.

Hence the corresponding IQ score of the wife = -17.61 + (1.18*93) = 92.13.

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