Temperature effect of muons registered under the ground in Yakutsk by telescopes on GAS-discharge counters

The Yakutsk spectrograph of cosmic rays includes a complex of muon telescopes based on gas-discharge and scintillation counters located on the surface and under the ground at depths of 7, 20, and 40 m.w.e. Using continuous observations made by muon telescopes on gas-discharge counters and data on the altitude profile of the atmospheric temperature over Yakutsk for the period from January 2016 to December 2018, we have calculated density distributions of temperature coefficients for muons detected on the surface and at various depths under the ground. To do this, we employed multivariate regression methods and principal component methods. The results obtained are compared with the results of earlier theoretical calculations. The results make it possible to correctly take into account the temperature effect in the data from the complex of muon telescopes on gas-discharge counters.