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Original Graph

Data Set 1. Original Graph. P = (4 pa*m 3 )(1/V) + 0 pa. Straightened Graph Honors – Straightened Enough (RMSE is zero). What experimental procedure could have produced this data?. Data Set 2. Original Graph. x = (3 m/s 2 )(t 2 ) + (6.096 *10 -15 m ). Approximate as zero!.

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Original Graph

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  1. GSHS Physics

  2. Data Set 1 Original Graph GSHS Physics

  3. P = (4 pa*m3)(1/V) + 0 pa Straightened Graph Honors – Straightened Enough (RMSE is zero) GSHS Physics

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

  5. Data Set 2 Original Graph GSHS Physics

  6. x = (3 m/s2)(t2) + (6.096 *10-15 m) Approximate as zero! Straightened Graph Honors – Straightened enough (RMSE is tiny compared to Y-values) GSHS Physics

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

  8. Data Set 3 Original Graph GSHS Physics

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

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

  12. Data Set 4 Original Graph GSHS Physics

  13. v2 = (333.3 m2/s3)(t)+ (0 m2/s2) Straightened Graph Honors – Straightened enough (RMSE is tiny compared to Y-values) GSHS Physics

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

  15. Data Set 5 Original Graph GSHS Physics

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

  17. 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. Straightened Graph – Attempt 2 GSHS Physics

  18. T2 = [1.013 yr2/(a.u.3)](R3) + -8.736 yr2 Its straight! RMSE is tiny compared to Y-values Straightened Graph – Attempt 3 GSHS Physics

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

  20. Data Set 6 Original Graph GSHS Physics

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

  22. Fel = (17 N/m2)(1/r2) + -0.04015 N May approximate to zero if valid explanation is given Its straight! RMSE calculation is on next page Straightened Graph – Attempt 2 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! GSHS Physics

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

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