Question

suppose iq scores were obtained for 20 randomly selected sets of twins. the 20 pairs of measurements yield \\(\bar{x} = 102.95\\), \\(\bar{y} = 103.4\\), \\(r = 0.921\\), p - value = 0.000, and \\(\hat{y} = - 5.59 + 1.06x\\), where \\(x\\) represents the iq score of the twin born second. find the best predicted value of \\(\hat{y}\\) given that the twin born second has an iq of 104? use a significance level of 0.05.
click the icon to view the critical values of the pearson correlation coefficient \\(r\\).
the best predicted value of \\(\hat{y}\\) is \\(\square\\).
(round to two decimal places as needed.)

Explanation:

Step1: Identify the regression equation

The regression equation is given as \(\hat{y} = -5.59 + 1.06x\), where \(x\) is the IQ score of the twin born second.

Step2: Substitute \(x = 104\) into the equation

Substitute \(x = 104\) into \(\hat{y} = -5.59 + 1.06x\):

$$
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$$

Answer:

\(104.65\)