In this paper, we analyze the influence of characteristic solar activity parameters as well as the competition effects in solar activity and atmospheric pressure on the records of cosmic radiation based on HiSPARC, a ground-based detector monitoring secondary cosmic ray intensity. We gather the data from No.501 HiSPARC station situated at Nikhef in Science Park, Amsterdam, Netherlands (52. 3558963°N, 4.9509827°E, 56.18 m of altitude). From the anticorrelation between the number of solar flares, relative number of sunspots and that of events, we obtain the formula through an exponential fitting model. Furthermore, we quantitatively find the correlation between the daily average number of cosmic ray events and the characteristic solar activity parameters, including the number, the area and the latitude of sunspot groups within one month. Turning to the combined effects of solar activity and atmospheric pressure, we calculate the critical interval, beyond which the influence of solar activity on the number of events is weaker.