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    Re: Linear regression and other tools
    From: Tony Oz
    Date: 2018 Oct 20, 12:32 -0700

    Dear Antoine,

    Here are my calculations for lower latitudes.

    2018-10-20T11:00UT

    Arcturus: SHA=145°3.4'; Dec=19°6'
    Deneb: SHA=49°28.'; Dec=45°21.2'

    11:00 (at 30°00'N 30°00'E) HC-Arcturus=76°25'34"; HC-Deneb=23°01'46"
    11:10 (at 30°02'N 30°02'E) HC-Arcturus=74°54'59"; HC-Deneb=24°44'09"
    11:20 (at 30°04'N 30°04'E) HC-Arcturus=73°13'37"; HC-Deneb=26°27'24"
    11:30 ???????
    11:40 (at 30°08'N 30°08'E) HC-Arcturus=69°29'35"; HC-Deneb=29°56'18"
    11:50 (at 30°10'N 30°10'E) HC-Arcturus=67°30'33"; HC-Deneb=31°41'48"
    12:00 (at 30°12'N 30°12'E) HC-Arcturus=76°25'34"; HC-Deneb=23°01'46"

    QuadReg gives:
    Arcturus: -1.851513153·x2 + 31.56890186·x - 46.76559446
    Deneb: 0.2234865581·x2 5.297575534·x - 62.28692828

    So, at 11:30 interpolated HC-Arcturus=71°24'51"; HC-Deneb=28°11'29", which gives the QTH of 30°09'N 30°03'E.
    Whereas the actual QTH was 30°06'N 30°06'E with HC-Arcturus=71°24'26"; HC-Deneb=28°11'29".
    Those mere 0°0'25" (twenty-five arcseconds) resulted in a ~4nm position error.

    This, as far as I can tell, proves your point - to use the interpolation with causion.

    Thank you for your comments!

    Warm regards,

    Tony

    60°N 30°E

       
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