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 **
A list from 1 through 10 came up as I was clicking the button, each with 2 other numbers beside it. The numbers beside the 1-10 have several decimal points.
** Your TIMER data from 20 fast clicks **
1 178.8594 178.8594
2 179.0156 .15625
3 179.1875 .171875
4 179.3594 .171875
5 179.5156 .15625
6 179.6563 .140625
7 180.0938 .4375
8 180.2969 .203125
9 180.5938 .296875
10 180.7656 .171875
11 180.9375 .171875
12 181.0938 .15625
13 181.2813 .1875
14 181.4063 .125
15 181.5938 .1875
16 181.9063 .3125
17 182.0781 .171875
18 182.2344 .15625
19 182.4063 .171875
20 182.5781 .171875
21 182.75 .171875
22 182.9375 .1875
** Your average time interval for 20 time intervals **
.195
I added up the 20 numbers and then divided by 20 go get my result.
** Your frequency distribution for the 20 time intervals (interval, number of times it was observed) **
.125, 1
.140625, 1
.15625, 4
.171875, 8
.1875, 2
.203125, 1
.296875, 1
.3125, 1
.4375, 1
** Your general comment to this point **
** Why did you observe only certain time intervals? **
The TIMER program isn't useless. It probably reported that time so frequently because after you get a time interval once, it reports that same interval for other intervals that may be a few thousanths of a second different than the first one it reported, just to make reading the data easier for us.
** What did you see when you looked at the differences between time successive time intervals? **
The differences from one time interval to the next are so small and they vary so little that the TIMER program seems to be very accurate.
** Your time intervals for 7 complete breaths: **
4.96875
5.734375
4.859375
5.984375
5.28125
5.078125
4.71875
4.515625
4.59375
4.953125
** Your general comment to this point: **
** Why did you rarely, if ever, observe that same time interval twice? **
Because as the time intervals grow larger the TIMER program is able to report the intervals more exact and has no need to repeat an interval.
** Do you think this program is accurate to .1 or .01 ... **
D. The timer program is capable of determining the time between two events accurately to within about .0001 second because each time interval usually has 6 decimal places, and although some of the intervals are very similar they differ in the last few decimal points, and this shows that the program can determine intervals to within .0001 second.
** Copy of a few lines of your spreadsheet from the TIMER program. **
series of regular breaths time at beginning of inhalation
1 , 858.4375 , 858.4375
2 , 863.4063 , 4.96875
3 , 869.1406 , 5.734375
4 , 874 , 4.859375
5 , 879.9844 , 5.984375
6 , 885.2656 , 5.28125
7 , 890.3438 , 5.078125
8 , 895.0625 , 4.71875
9 , 899.5781 , 4.515625
10 , 904.1719 , 4.59375
11 , 909.125 , 4.953125
** **
45 minutes
** **
&#Very good work. Let me know if you have questions. &#