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How to do a linear regression?

I need to do a regression model for a data set but i need to force the y-intercept to be zero. When i try to solve my equations fall back to an identity. If it makes a difference its a normalized regression where x'=x^2.

more specifically if y=ax^2 find a. im trying to solve by transforming x squared to x then solving y=a1*x+a0. then transform back. but where i keep running into difficulty is letting the a0=0 and still having something to work with. THANKS FOR ANY HELP.

2 Answers

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  • cidyah
    Lv 7
    1 decade ago
    Favorite Answer

    Using Least squares regression,

    a = Σ y(i)x(i)^2 / Σ x(i)^4 ----(1)

    You have a data set (x,y)

    x--y

    10 12

    2 13

    5 4

    7 10

    etc,

    Find x^4

    Find x^2

    Find y times x^2 for each observation and use equation (1) to find a.

  • ?
    Lv 5
    1 decade ago

    If your line is y=mx+b and you want y' =mx, then just reduce (code) all your y values by b.

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