Suppose IQ scores were obtained from randomly selected couplescouples. For 2020

Question

Suppose IQ scores were obtained from randomly selected couplescouples. For 2020 such pairs of people, the linear correlation coefficient is 0.8080.808 and the equation of the regression line is ModifyingAbove y with caret equals 21.06 plus 0.79 xy=21.06+0.79x, where x represents the IQ score of the wifewife. Also, the 2020 x values have a mean of 103.58103.58 and the 2020 y values have a mean of 102.6102.6. What is the best predicted IQ of the husbandhusband, given that the wifewife has an IQ of 100100? 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 husbandhusband is nothing. (Round to two decimal places as needed.)

Explanation / Answer

here degree of freedom =n-2=18

for 18 degree of freedom and 0.05 level of significance critical value of r =0.4438

as correslation coefficient r is higher then criitcal value ; there exist a significant linear relationship.

therefore predicted IQ of the husband =21.06+0.79*100=100.06

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