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Analyzing Experimental Data The Straight Line D as a function of T

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1 Analyzing Experimental Data The Straight Line D as a function of T
With Calculator Screens Created for CVCA Physics by Dick Heckathorn 30 August 2K+4 Chapter 1 Section 7 Page 21

2 A. Getting Ready 1. [On] [Mode] 2. Normal Float
Degree Func Connected Sequential Real Full 3. To Exit: [2nd] [Quit]

3 B. Clearing Lists 1. [Stat] [Edit] 2. Place cursor over list header
4. [] 5. Repeat for each header

4 C. Re-name Columns/Store Data
1. Cursor over blank header 2. [2nd] [INS] ‘T’ [Enter] [] 3. Cursor over blank header 4. [2nd] [INS] ‘D’ [Enter] [] 5. Enter data in correct column. T (s) D( m)

5

6 D. Clear Active Graphing
1 [y=] 2. clear any equations

7 D. Clear Active Graphing
3. [2nd] [stat plot] 4. [4:PlotsOff] 5. [Enter] Will plot ‘D’ as a function of ‘T’

8 E. Preparing to Graph 1. [2nd] [Stat Plot]
2. With cursor at 1: [Enter] 3. a. on b. Type: select 1st graph (points) c. Xlist to: ‘T’ [2nd] [List] ‘T’ Ylist to: ‘D’ [2nd] [List] ‘D’ d. Mark: square

9

10 (This allows all points to be plotted using all of the screen.)
E. Graphing Data 1. [Zoom] [9: ZoomStat] (This allows all points to be plotted using all of the screen.)

11 E. Graphing Data 2. Graph

12 E. Graphing Data 3. [Windows] a. Set both ‘Xmin=’ and ‘Ymin=’ to zero

13 (If can’t see horizontal & vertical axes) [2nd] [Format] [AxesOn”]
E. Graphing Data 3. b. [Graph] (This shows all of 1st quadrant) (If can’t see horizontal & vertical axes) [2nd] [Format] [AxesOn”]

14 F. Finding the Equation Shape of line is?
1. a straight going through origin. From this we can determine? 2. Equation of the straight line using: y = mx + b concept

15 F. Finding the Equation zero because? 3. The value of b is?
it crosses the y axis at zero 4. What is the equation?

16 F. Finding the Equation [Stat] [Calc] [4:LinReg(ax+b)]

17 F. Finding the Equation 3. [2nd] [List] ‘T’, ‘,’ 4. [2nd] [List] ‘D’
5. [Enter]

18 F. Finding the Equation 6. On screen we see:

19 y = ax + b F. Finding the Equation Starting with:
Substituting 28 m/s for ‘a’ and zero for ‘b’, one gets: Replacing ‘y’ with ‘D’ and ‘x’ with ‘T’ one gets the equation:

20 G. Relationship Since b = 0, we can say;
D is directly proportional to T What does this means?

21 H. Plotting Line of Best Fit
1. [y=]

22 H. Plotting Line of Best Fit
[VARS] [5:Statistics…] [EQ] [1:RegEq]

23 H. Plotting Line of Best Fit
[Enter] [Graph] Add graph

24 I. Summary Since the first graph yielded a straight line, we then found the equation of this straight line.

25 Do not go on unless you have completed the above.
J. A Final, Final Thought At this time, write out a brief summary using bullet points for what you did. Do not go on unless you have completed the above.

26 General Summary ▪ Get Ready ▪ Clear Lists ▪ Rename Columns/Store Data
▪ Clear Active Graphing ▪ Graph Data ▪ Find the Equation ▪ Plot Line of Best Fit

27 K. A Shortcut 1. Using original data, plot ‘D’ as a function of ‘T’
2. [Stat] [Calc] [A:PwrReg]

28 K. A Shortcut 4. [2nd] [List] ‘T’ [,] 5. [2nd] [List] ‘D’ [Enter]

29 K. A Shortcut 5. On screen we see:

30 K. A Shortcut y = a*x^b Starting with: Substituting 28 m/s for a and 1 for b, one gets: Replacing ‘y’ with ‘D’ and ‘x’ with ‘T’ one gets the equation:

31 L. Summary 6. How does this equation compare to that found earlier? They should be the same.

32 That’s all folks!


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