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A multiple linear regression statistical method is applied to model data taken from the Coupled Model Intercomparison Project, phase 5 (CMIP‐5) to estimate the 11‐year solar cycle responses of stratospheric ozone, temperature, and zonal wind during the 1979–2005 period. The analysis is limited to the six CMIP‐5 models which resolve the stratosphere (high‐top models) and which include interactive ozone chemistry. All simulations assumed a conservative 11‐year solar spectral irradiance (SSI) variation based on the Naval Research Laboratory model. These model responses are then compared to corresponding observational estimates derived from two independent satellite ozone profile datasets and from ERA‐Interim reanalysis meteorological data. The models exhibit a range of 11‐year responses with three models (CESM1‐WACCM, MIROC‐ESM‐CHEM and MRI‐ESM1) yielding substantial solar‐induced …