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Statistics

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The ages (in years) of 10 infants and the number of hours each slept in a day
Age, x: 0.1, 0.2, 0.4, 0.7, 0.6, 0.9, 0.1, 0.2, 0.4, 0.9
Hours slept, y: 14.9, 14.5, 13.9, 14.1, 13.9, 13.7, 14.3, 13.9, 14.0, 14.1
Find the equation of the regression line. Then use the regression equation to predict the value of y for the given x, if meaningful. If it is not meaningful, explain why.
a. X-0.3years b. X=3.9years c. X=0.6years d. X=0.8years

  • Statistics -

    If you need to show the work by hand, you can develop the regression equation in the following format:
    predicted y = a + bx
    ...where a represents the y-intercept and b the slope.

    To get to that point, here are some formulas to calculate along the way.

    To find a:
    a = (Ey/n) - b(Ex/n)

    Note: E here means to add up or to find the total.

    To find b:
    b = SSxy/SSxx

    To find SSxy:
    SSxy = Exy - [(Ex)(Ey)]/n

    To find SSxx:
    SSxx = Ex^2 - [(Ex)(Ex)]/n

    Once you have the equation, substitute the values for x and solve for predicted y.

    I hope this will help get you started.

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