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 **
1 31.03125 31.03125
2 37.04688 6.015625
3 37.8125 .765625
4 38.65625 .84375
5 39.46875 .8125
6 40.125 .65625
7 40.85938 .734375
8 41.59375 .734375
9 42.23438 .640625
10 42.84375 .609375
** Your TIMER data from 20 fast clicks **
1 87.21875 87.21875
2 87.375 .15625
3 87.5 .125
4 87.64063 .140625
5 87.78125 .140625
6 87.92188 .140625
7 88.04688 .125
8 88.17188 .125
9 88.29688 .125
10 88.42188 .125
11 88.54688 .125
12 88.65625 .109375
13 88.76563 .109375
14 88.85938 .09375
15 88.96875 .109375
16 89.04688 .078125
17 89.14063 .09375
18 89.25 .109375
19 89.34375 .09375
20 89.45313 .109375
21 89.625 .171875
22 89.82813 .203125
** Your average time interval for 20 time intervals **
I got .1245.
I got it by adding the 20 values and dividing by 20.
&#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) **
.21875, 1
.15625, 1
.125, 6
.140625, 3
.109375, 5
.09375, 3
.078125, 1
** Your general comment to this point **
** Why did you observe only certain time intervals? **
I really don't know at this point.
** What did you see when you looked at the differences between time successive time intervals? **
Seems like it takes twice as long to hit the button sometimes.
** Your time intervals for 7 complete breaths: **
4.40625
5.8125
5.0625
5.96875
6.515625
7.40625
7.875
6.515625
5.75
** Your general comment to this point: **
** Why did you rarely, if ever, observe that same time interval twice? **
Because the timer clicks were steady, the breathing was not and was increasing in time intervals.
** Do you think this program is accurate to .1 or .01 ... **
b. The TIMER program is capable of determining the time between two events accurately to within about .01 second.
I chose this because the values to .01 were changing, but the program rounded off when it came to .001 and .0001.
** Copy of a few lines of your spreadsheet from the TIMER program. **
Breathing
event number clock time time interval
1 929.6719 929.6719
2 934.0781 4.40625
3 939.8906 5.8125
4 944.9531 5.0625
5 950.9219 5.96875
6 957.4375 6.515625
7 964.8438 7.40625
8 972.7188 7.875
9 979.2344 6.515625
10 984.9844 5.75
** **
20 minutes
** **
&#Your work looks good. Let me know if you have any questions. &#