Jie's Discussion
The data was then transformed to a logarithmic scale to show a clear linear relationship.
The data for when the bias voltage is 21 volts as well as 20 volts shows a exponential relationship. When the data was transformed to a logarithmic scale, it showed a linear relationship. When the SiPM was set to 21V, the data was much more accurate, as can be seen by the smaller error bars. As the temperature increases, so does the number of events Since there is a larger number of events that were recorded, the data is more reliable. More trials were run when the bias voltage was set to 20V because there was less reliability in the data due to fewer events.
An LSRL was then calculated for the transformed data. The LSRL is calculated by finding a line that’s Ky2 sum is very close to the number of the data points on the line(N). ~~Include more on calculating Ky2~~
The slopes of the LSRL determine the rate at which the dark rate is rising in response to temperature. We can see that the slopes of the two LSRLs are very similar. This means that when the SiPM was running at either bias voltages, both dark rates rose at the same rate. This supports the fact that even though both increasing the temperature and bias voltage would increase the dark rate of the SiPM, both variables operate independent of each other.