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IMO, a lot of this thread is about scales and ignoring an important point. The correlation between temperature and distance, shown in @renormalize 's post #21 is the opposite of a logical, direct, cause-effect correlation. The temperature is high when the distance is great. The reason for this is that the real cause-effect at that location is between the tilt of the Earth axis versus temperature. Then the relationship between the axis tilt and the distance makes the distance/temperature correlation wrong.
Before worrying about the scales, the effect of axis tilt should be removed. For a location on the Equator, that effect is zero. For a location off the Equator, a statistical analysis might be required. That might be a tricky statistical problem.
The problem of scales is still there, and important, but I would worry about that later.
Before worrying about the scales, the effect of axis tilt should be removed. For a location on the Equator, that effect is zero. For a location off the Equator, a statistical analysis might be required. That might be a tricky statistical problem.
The problem of scales is still there, and important, but I would worry about that later.