Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ?

Use a significance level of 0.05. 20 siblings 20 x=99.42 y=97.2 =0.867 = = −21.33+1.19x y older child y older child 97 Click the icon to view the critical values of the Pearson correlation coefficient r.1 The best predicted value of is . y (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 0.05 α = 0.01 α = NOTE: To test H0 : 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table. rho= rho≠4 0.950 0.990 5 0.878 0.959 6 0.811 0.917

In math, regression refers a powerful statistical method that allows you to examine the relationship between two or more variables of interest

Here we have given that suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the .

And we need to find the best predicted value of given that the has an IQ.

While we looking into the given question we know that the a significance level is 0.05.

Then by using regression equation

=> ŷ=14.68+0.88x

And now we have to plug in IQ, which is x

=> 14.68 + 0.88(104)

=> 106.2

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