Is there a relationship between weight and time?
Based on my personal spinner there is no relationship between weight and time. However, there is a relationship between the amount of weight and how far away it is from the center of the spinner. If you have a decent amount of weight at a reasonable distance from the center you will have a great result for time.
Is there a correlation between the number of spokes and time?
To tie into with the correlation with weight and time, the more spokes you have while at the same time keeping the weight a good distance away from the center of the spinner the time will increase.
Is there a correlation between the height of the trial and the time?
Based on the team trials there is a slight correlation between the height of the trial and the time. Our times were only just about 5 seconds between each one.