Abstract
Zonal monthly means of UAH satellite based measurements of lower troposphere temperature anomalies 12/1978 to 4/2017 are examined for violations of the independence assumption of OLS linear regression. The Hurst Exponent (H), computed at a monthly time scale, is used as the measure of dependence. It is found that the independence assumption of OLS linear regression is violated in the UAH temperature anomaly time series. The apparent multi-decadal non-linearity found in a prior work may be related to non-linear dynamics implied by the Hurst phenomenon. The interpretation of OLS linear regression trend lines for these time series in terms of anthropogenic global warming should be made with caution, particularly so in view of the short time span of the data, because the data do not comply with OLS assumptions.
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