Suppose IQ scores were obtained from randomly selected couplescouples. For 20 su

Question

Suppose IQ scores were obtained from randomly selected couplescouples. For 20 such pairs of people, the linear correlation coefficient is 0.927 and the equation of the regression line is ModifyingAbove y=19.8+1.2x, where x represents the IQ score of the husbandhusband. Also, the 20 x values have a mean of 99.97 and the 20 y values have a mean of 99.95. What is the best predicted IQ of the wife, given that the husband has an IQ of 90? Use a significance level of 0.05. (a) best predicted IQ of the wife (b) Find r (linear correlation coefficient) (c) Find slope, y-intercept (d) Analysis/conclusion

Explanation / Answer

given regression line is

y=19.8+1.2x

1) What is the best predicted IQ of the wife, given that the husband has an IQ of 90?

For x = 90

y = -19.8 + 1.2*90 = 88.2

(a) Best predicted IQ of wife = 88.2

(b) Linear correlation coeffient = 0.927

(c) Slope = 1.2 and y-intercept = -19.8

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