  The first multi-color CCD photometric study of 27 $\delta$ Scuti stars is
presented, which was performed over the three observing years. We obtained the
maximum times and magnitude changes in the observation period for each star.
The ephemeris of our $\delta$ Scuti stars was calculated based on the Markov
chain Monte Carlo (MCMC) method, using the observed times of maxima and the
period of star oscillations. We used Gaia EDR3 parallax for calculating the
absolute magnitude of $\delta$ Scuti stars. The precise fundamental physical
parameters of all studied stars, such as mass, radius, luminosity, and
temperature, were estimated. The pulsation modes of stars were investigated
according to their Periodogram, indicating they are all in radial pulsation
modes. Since the period changing of pulsating variable stars indicates the
stellar evolution, the Period-Luminosity (P-L) relation was calculated and
discussed. Moreover, we present new P-L relations for fundamental and overtone
modes; Machine Learning Classification was used for this purpose.
