1. 1 GSHS Physics

2. Original Graph Data Set 1 2 GSHS Physics

3. Straightened Graph Honors – Straightened Enough (RMSE is zero) P = (4 pa*m 3 )(1/V) + 0 pa 3 GSHS Physics

4. What experimental procedure could have produced this data? 4 GSHS Physics

5. Original Graph Data Set 2 5 GSHS Physics

6. Straightened Graph Honors – Straightened enough (RMSE is tiny compared to Y-values) x = (3 m/s 2 )(t 2 ) + (6.096 *10 -15 m) Approximate as zero! 6 GSHS Physics

7. What experimental procedure could have produced this data? 7 GSHS Physics

8. Original Graph Data Set 3 8 GSHS Physics

9. Straightened Graph W = (1.276 lbs/months)(A)+ (6.557 lbs) 9 GSHS Physics

10. Honors ONLY!! – RMSE calculation for Data Set 3 Average Y-value calculation Range of Y-values = 16.70-7.30 = 9.4 Average of the range = 9.4/2 = 4.7 Add to initial value to get the average adjusted from zero = 4.7 + 7.3 = 12 5% Rule: Average Y-value * 5% 12*5% = 0.6 If RMSE < 5% of Average Y-value, then graph is straightened enough RMSE = 0.3152 0.3152 < 0.6  Graph is straightened enough! 10 GSHS Physics

11. What experimental procedure could have produced this data? 11 GSHS Physics

12. Original Graph Data Set 4 12 GSHS Physics

13. Straightened Graph Honors – Straightened enough (RMSE is tiny compared to Y-values) v 2 = (333.3 m 2 /s 3 )(t)+ (0 m 2 /s 2 ) 13 GSHS Physics

14. What experimental procedure could have produced this data? 14 GSHS Physics

15. Original Graph Data Set 5 15 GSHS Physics

16. Straightened Graph – Attempt 1 Data Set 5 We’ll now square the Y-axis to try a secondary straightening. 16 GSHS Physics

17. Straightened Graph – Attempt 2 Data Set 5 Notice that this brought us back to the original graph since both axes are now squared. We will now move to the next highest power to straighten. We will cube the original x-axis to see if that straightens the graph. 17 GSHS Physics

18. Straightened Graph – Attempt 3 T 2 = [1.013 yr 2 /(a.u. 3 )](R 3 ) + -8.736 yr 2 Its straight! RMSE is tiny compared to Y-values 18 GSHS Physics

19. What experimental procedure could have produced this data? 19 GSHS Physics

20. Original Graph Data Set 6 20 GSHS Physics

21. Straightened Graph – Attempt 1 Data Set 5 We’ll now square the X-axis, (1/r) 2, to try a secondary straightening. 21 GSHS Physics

22. Straightened Graph – Attempt 2 F el = (17 N/m 2 )(1/r 2 ) + -0.04015 N May approximate to zero if valid explanation is given Its straight! RMSE calculation is on next page 22 GSHS Physics

23. Honors ONLY!! – RMSE calculation for Data Set 6 Average Y-value calculation Range of Y-values = 425 - ~0 = 425 Average of the range = 425/2 = 212.5 Add to initial value to get the average adjusted from zero = 212.5 + ~0 = 212.5 5% Rule: Average Y-value * 5% 212.5*5% = 10.625 If RMSE < 5% of Average Y-value, then graph is straightened enough RMSE = 0.2571 0.2571 < 10.625  Graph is straightened enough! 23 GSHS Physics

24. What experimental procedure could have produced this data? 24 GSHS Physics