Your 'timer program' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Your General Comment **
Sorry work has began so late. Book took 8 days to get here when I paid for 2 day delivery.
** Describe what you see on your first 10 clicks **
A time interval of when the program is first activated and the following clicks recorded times.
** Your TIMER data from 20 fast clicks **
1 45.71094 45.71094
2 45.86719 .15625
3 46.03906 .171875
4 46.22656 .1875
5 46.38281 .15625
6 46.57031 .1875
7 46.74219 .171875
8 46.94531 .203125
9 47.11719 .171875
10 47.28906 .171875
11 47.47656 .1875
12 47.63281 .15625
13 47.82031 .1875
14 47.98438 .1640625
15 48.17969 .1953125
16 48.35938 .1796875
17 48.51563 .15625
18 48.70313 .1875
19 48.875 .171875
20 49.04688 .171875
21 49.21875 .171875
** Your average time interval for 20 time intervals **
0.175304878
Putting the column of changes in spreadsheet and finding avg using formula
** Your frequency distribution for the 20 time intervals (interval, number of times it was observed) **
.171875,7
.1875,5
.15625,4
.203125,1
.1640625,1
.1953125,1
.1796875,1
** Your general comment to this point **
** Why did you observe only certain time intervals? **
No that just means our clicks manage to fall into a resolution that the timer isn't accurate enough to differentiate from.
** What did you see when you looked at the differences between time successive time intervals? **
That the timer program is reporting numbers based on the number of steps that it has. The accuracy is limited to within these step sizes.
** Your time intervals for 7 complete breaths: **
4.679993
5.117004
5.272003
5.39798
5.459991
5.616028
5.677979
6.100006
5.226013
5.772003
** Your general comment to this point: **
** Why did you rarely, if ever, observe that same time interval twice? **
Because the time intervals in which we are breathing are much slower and the chances of falling back into the same exact time step go up dramatically.
** Do you think this program is accurate to .1 or .01 ... **
.001 I feel this way because when the smaller steps were demonstrated by the fast clicking the changes were generally in that area.
** Copy of a few lines of your spreadsheet from the TIMER program. **
breathing
event number clock time time interval
1 58.84302 58.84302
2 63.52301 4.679993
3 68.64001 5.117004
4 73.91202 5.272003
5 79.31 5.39798
6 84.76999 5.459991
7 90.38602 5.616028
8 96.064 5.677979
9 102.164 6.100006
10 107.39 5.226013
11 113.162 5.772003
** **
one hour
** **
Very good responses. Let me know if you have questions.