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 **
** Describe what you see on your first 10 clicks **
The number in the first column is the trial number. the number in the second column munis the number above it gives the total time since the initial trial. In the third column, is shows the amount of time since the last trial.
** Your TIMER data from 20 fast clicks **
1 64.875 64.875
2 65.09375 .21875
3 65.25 .15625
4 65.42188 .171875
5 65.57813 .15625
6 65.80469 .2265625
7 66.02344 .21875
8 66.1875 .1640625
9 66.41406 .2265625
10 66.57031 .15625
11 66.78906 .21875
12 67.00781 .21875
13 67.17969 .171875
14 67.39844 .21875
15 67.5625 .1640625
16 67.78125 .21875
17 68 .21875
18 68.21875 .21875
19 68.38281 .1640625
20 68.60156 .21875
21 68.82031 .21875
22 68.99219 .171875
** Your average time interval for 20 time intervals **
0.196056548
I copied and pasted the data to Excel, a database program. Summed and averaged by dividing by 21.
&#If you divide the difference between the 1st and 20th time clock times by the 20 - 1 = 19 time intervals you would get the average time interval, and this will agree with the average you obtained by adding the 19 intervals and dividing by 19.
More generally, if you take the difference between two clock times and the difference between their numberings, i.e., subtract the second-column numbers, subtract the first-column numbers and divide, you will get the average of the time intervals between those clock times. &#
** Your frequency distribution for the 20 time intervals (interval, number of times it was observed) **
0.21875, 10
0.15625, 3
0.171875, 3
0.2265625, 2
0.1640625, 3
** Your general comment to this point **
** Why did you observe only certain time intervals? **
Depending on which compiler you used to create this program, the clock function returns the number of clock ticks (which usually occur 18.2 times per second). The number of significant digits suggests a higher degree of accuracy than is actually obtained.
** What did you see when you looked at the differences between time successive time intervals? **
Positive and negative numbers. The TIMER program above did not use the absolute value function in the above example.
** Your time intervals for 7 complete breaths: **
6.367188
5.546875
5.273438
5
5.046875
5.601563
5
5.554688
4.828125
** Your general comment to this point: **
** Why did you rarely, if ever, observe that same time interval twice? **
You may want to correct the grammer in the question, though I understand what you meant. We would expect this because breathing intervals are not consistent.
grammar, not grammer
** Do you think this program is accurate to .1 or .01 ... **
b.
The closest intervals are within approimately .01 seconds.
** Copy of a few lines of your spreadsheet from the TIMER program. **
event number clock time time interval
1 1219.023 1219.023
2 1225.391 6.367188
3 1230.938 5.546875
4 1236.211 5.273438
5 1241.211 5
** **
Probably 30 min. without interuptions.
** **
&#Good work. Let me know if you have questions. &#