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5 September, 14:46

Interpret the following sine regression model.

y = 0.884 sin (0.245x - 1.093) + 0.400

What is the value of a in this equation?

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  1. 5 September, 15:19
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    The question is incomplete, so I will describe the sine regression model.

    The function

    y = 0.884 sin (0.245x - 1.093) + 0.400

    correspond to the general equation:

    y = a sin (bx - c) + d

    where:

    a = 0.884

    b = 0.245

    c = 1.093

    d = 0.400

    The amplitude of the function is computed as follows:

    amplitude = |a| = 0.884

    The period of the function is computed as follows:

    period = 2π/|b| = 25.6456

    The phase shift of the function is computed as follows:

    phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)

    The vertical shift of the function is computed as follows:

    vertical shift = d = 0.400
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