Finding Equation for Two Dataset Relationships

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In summary, the conversation is discussing finding a functional relationship between two given datasets, specifically determining if the relationship is linear, exponential, logarithmic, or polynomial. The conversation also mentions the data points and their potential impact on determining the relationship. Ultimately, the equation n=121+2.02d is proposed as the linear relationship between the datasets.
  • #1
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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  • #2
Eyeballing it, it looks exceedinly linear
 
  • #3
I agree, but the first and last data points are off.
 
  • #4
Do you have any other values? That would be helpful.
 
  • #5
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)
 
  • #6
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.
 

1. What is the purpose of finding the equation for two dataset relationships?

The purpose of finding the equation for two dataset relationships is to understand and quantify the relationship between two variables. This can help to identify patterns and trends in the data, make predictions, and ultimately gain a deeper understanding of the data.

2. What is the process for finding the equation for two dataset relationships?

The process for finding the equation for two dataset relationships involves first plotting the data on a graph and visually inspecting for any patterns or trends. Then, a mathematical model is chosen based on the type of relationship observed (e.g. linear, exponential, quadratic). The next step is to use the chosen model to fit a line or curve to the data points, and finally, the equation is determined based on the slope and intercept of the line or curve.

3. What type of data is suitable for finding the equation for two dataset relationships?

Any type of data that has two variables and shows some kind of relationship between them can be used to find the equation for two dataset relationships. This can include numerical, categorical, or even time series data. However, the data should be continuous and the relationship should be predictable and consistent.

4. What are the limitations of finding the equation for two dataset relationships?

One limitation is that the equation may not accurately represent the relationship between the two variables in all cases. This can happen if the data is too complex or if there are outliers that affect the overall pattern. Additionally, finding the equation does not necessarily imply causation, as there may be other factors at play that influence the relationship between the two variables.

5. Can the equation for two dataset relationships be used to make predictions?

Yes, the equation can be used to make predictions for values of one variable based on the known values of the other variable. However, it is important to note that these predictions are only as accurate as the data and the equation itself, and may not hold true for values outside of the observed range.

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