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8 March, 21:33

Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x=97.47​, y=97.35​, r=0.892​, ​ P=0.000, and y=-9.15+1.09x​, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104​ ? Use a significance level of 0.05.

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  1. 8 March, 22:38
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    Question:

    Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x' = 97.47, y' = 97.35, r=0.892, P=0.000, and y^=-9.15+1.09x, where x represents the IQ score of the wife. Find the best predicted value of y given that the wife has an IQ of 104? Use a significance level of 0.05.

    Answer:

    y^ = 104.21

    Step-by-step explanation:

    Given:

    n = 20

    x' = 97.47

    y' = 97.35

    r = 0.892

    P-value = 0.000

    y^ = - 9.15 + 1.09x

    Here, the wife has an IQ of 104.

    The regression equation here is given as:

    y^ = - 9.15 + 1.09x

    Let x represent the IQ of the wife.

    x = 104

    Hence, the best predicted value of y^ will be:

    Let's substitute 104 for x in tge regression equation.

    y^ = - 9.15 + 1.09 (104)

    y^ = - 9.15 + 113.36

    y^ = 104.21

    Therefore, the best predicted value of y^ = 104.21
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