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I see things from a climatologic perspective. If x rises in about 30 years with an interval of confidence suficient to sustain it, y will rise (or fall) doing a generic linear regression.

But in my study i didn't compare co2 with temperature. I had temperatures and calculated the pressure level of the tropopause in every point in my grid of the world map. This way i could determine how the width of the tropical belt as been changing (and it as been groing at a steady rate more in the northern hemisphere than in the southern though).