Finding Equation for Two Dataset Relationships

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Discussion Overview

The discussion revolves around finding a functional relationship between two datasets, specifically exploring whether the relationship is linear, exponential, logarithmic, or polynomial. Participants are seeking methods to express this relationship in equation format.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the relationship appears to be linear based on visual inspection.
  • Another participant agrees but notes that the first and last data points seem inaccurate.
  • A request for additional data points is made, indicating that more information could aid in analysis.
  • Concerns are raised about the accuracy of the first data point, with a specific observation about its deviation when considering significant digits.
  • A participant proposes a linear equation, stating it as n=121+2.02d, where d represents degrees, while acknowledging the potential inaccuracies of certain data points.

Areas of Agreement / Disagreement

Participants generally agree that the relationship may be linear, but there is disagreement regarding the accuracy of specific data points, and no consensus on the best equation has been reached.

Contextual Notes

There are unresolved concerns regarding the accuracy of the first and last data points, as well as the implications of significant digits on the dataset's interpretation.

Analysis
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Dear all,
I want to find functional relationship between two datas set.How to find,it relation is linear,exponential,logarthemics,polynomial functions in terms of equation format.(any ref.material regarding this would be useful)

Dataset
0.5° 121.20
5° 123.02
10° 125.04
15° 127.06
20° 129.07

Thanks in advance
Prakash
 
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Eyeballing it, it looks exceedinly linear
 
I agree, but the first and last data points are off.
 
Do you have any other values? That would be helpful.
 
Honestly, the first data point is off by something like .01 per five degrees...

the second data point isn't even off considering the significant digits involved (2.02/5 degrees = .202/.5 degrees, so the first one should be 121.202, but it's rounded)
 
Yeah, you're right. I graphed it as basically linear, besides those points. So the equation is n=121+2.02d if d is equal to the degrees at fives.
 

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