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# Mathematical Modeling, watch

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1. Hi, im doing a project in which we must find an equation that best fits the data we were given.

When I applied a polynomial function where the highest degree was 3, the Correlation Coefficient was equal to .9991. However, when I applied a polynomial function where the highest degree was 5, the correlation coefficient was equal to .9996.

Is there a reason why a function with a higher degree models the data better than one of a lower degree?
2. (Original post by nk9230)
Hi, im doing a project in which we must find an equation that best fits the data we were given.

When I applied a polynomial function where the highest degree was 3, the Correlation Coefficient was equal to .9991. However, when I applied a polynomial function where the highest degree was 5, the correlation coefficient was equal to .9996.

Is there a reason why a function with a higher degree models the data better than one of a lower degree?

Which data is it?
3. (Original post by motoroller)
Which data is it?
*EDIT*
It is Body Mass Index for Females from a particular year in the United States.

I first tried a Cubic, and then a Quintic.
4. (Original post by nk9230)
cubic
Trends probably can't be analysed mathematically. What reason would there be for the BMI to follow a cubic or quintic? In some physical situation like fluid flow, there might be an underlying cubic flow rate, but I don't think there is significance in data like this. All you can do is comment on the patterns observed from the data.
5. (Original post by motoroller)
Trends probably can't be analysed mathematically. What reason would there be for the BMI to follow a cubic or quintic? In some physical situation like fluid flow, there might be an underlying cubic flow rate, but I don't think there is significance in data like this. All you can do is comment on the patterns observed from the data.
Well, there has to be a funtion to model the data that was given to us, Its an IB Maths IA type II. I used a cubic based on the shape/ trend the data followed when plotted as a scatter plot.

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