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 **
There are different corresponding numbers for different trials.
1 23 23
2 24 1
3 24.76563 .765625
4 25.45313 .6875
5 26.28125 .828125
6 27.15625 .875
7 28.09375 .9375
8 28.76563 .671875
9 29.4375 .671875
10 30.15625 .71875
** Your TIMER data from 20 fast clicks **
1 263.6094 263.6094
2 264.1719 .5625
3 264.6719 .5
4 265.2031 .53125
5 265.6875 .484375
6 266.1719 .484375
7 266.6719 .5
8 267.1719 .5
9 267.6563 .484375
10 268.1719 .515625
11 268.6875 .515625
12 269.1875 .5
13 269.6406 .453125
14 270.1875 .546875
15 270.7031 .515625
16 271.1719 .46875
17 271.6719 .5
18 272.1719 .5
19 272.6563 .484375
20 273.2188 .5625
** Your average time interval for 20 time intervals **
0.48046875 is the mean for the above set of data. I could not figure out an easier way so I added up the 20 intervals and then divided by 20.
Good, but between clock time #2 and clock time #20 there are only 18 intervals.
&#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) **
.453125, 1
.46875, 1
.484375, 4
.5, 6
.515625, 3
.53125, 1
.546875, 1
.5625, 2
.6094, 1
** Your general comment to this point **
** Why did you observe only certain time intervals? **
The TIMER program is not flawed nor useless. Personally I said the number 1 and then I clicked the mouse to try to get accurate readings. When you get into the thousandths place the time moves incredibly fast and so fast that it is hard to be precise and accurate with the data.
** What did you see when you looked at the differences between time successive time intervals? **
Some of the numbers are positive and some are negative. However, there is a small variance in the numbers beginning the the sign and then the hundredths place.
** Your time intervals for 7 complete breaths: **
3.609375
3.984375
3.609375
3.71875
3.84375
3.703125
3.8125
4.3125
4.125
3.578125
** Your general comment to this point: **
** Why did you rarely, if ever, observe that same time interval twice? **
Breathing is more natural and clicking you have to command yourself to press the button. The brain does communicate with the lungs to breathe but you do not have to think about it.
** 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 debated between a and b. According to my data a was the case in some instances and b was the case in the other. Most of my dad for the first part of the experiment were to the .01 second with a little variance.
** Copy of a few lines of your spreadsheet from the TIMER program. **
Timer Exp
event number clock time time interval
1 11.15625 11.15625
2 11.60938 0.453125
3 11.92188 0.3125
4 12.15625 0.234375
5 12.35938 0.203125
6 12.53125 0.171875
7 12.73438 0.203125
8 12.9375 0.203125
9 13.125 0.1875
10 13.32813 0.203125
** **
This experiment took approximately 45 minutes after I was able to struggle with the computer to download the Timer program.
** **
&#Good work. See my notes and let me know if you have questions. &#