Herein I discuss common errors in applying regression models and wavelet filters used to analyze geophysical signals. I demonstrate that: (1) multidecadal natural oscillations (e.g. the quasi 60 yr Multidecadal Atlantic Oscillation (AMO), North Atlantic Oscillation (NAO) and Pacific Decadal Oscillation (PDO)) need to be taken into account for properly quantifying anomalous background accelerations in tide gauge records such as in New York City; (2) uncertainties and multicolline-arity among climate forcing functions also prevent a proper evaluation of the solar contribution to the 20th century global surface temperature warming using overloaded linear regression models during the 1900–2000 period alone; (3) when periodic wavelet filters, which require that a record is pre-processed with a reflection methodology, are improperly applied to decompose non-sta-tionary solar and climatic time series, Gibbs boundary artifacts emerge yielding misleading phys-ical interpretations.
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https://scienceofclimatechange.org/wp-content/uploads/Scafetta-2013-PRP-Sea-Solar-Warming.pdf