Finding Function for Set of Data?

In summary, the conversation is about finding a function for a set of data using algebraic methods. The person is looking for help in finding the values for a, b, and c in the quadratic function, y=ax^2+bx+c. They mention using the calculator function QuadReg, but would like a step-by-step explanation for finding the values algebraically. They also mention the least squares method and suggest taking a course in linear algebra for further understanding.
  • #1
Euphoriet
105
0
Finding Function for Set of Data?

Anyone know how to find a function for a set of data (x and y table)... that make up a quadratic function (sort of like a part of a parabola)

I know I can do it in the calculator with QuadReg, but I woudl really appricaite it if someone could please walk me through the way in which you would do it algebraically.

Like if I had a sample set of data... how would I find the values for a, b and c in:


y= ax^2 + bx + c


I'm assuming that is the general formula typically used.
 
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  • #2
Linear Algebra, least squares method.
 
  • #3
That looks like what I need to do BUT, I have found no tutorial that I can understand... anyone care to give an example ... that simplifies this process
 
  • #4
You need to take a course in linear alegbra.
 

FAQ: Finding Function for Set of Data?

What is the purpose of finding function for a set of data?

The purpose of finding function for a set of data is to understand the relationship between different variables and to make predictions based on this relationship. It helps to identify patterns and trends in the data, which can then be used to make informed decisions and create accurate models.

How do you determine the best function for a given set of data?

There are several methods for determining the best function for a given set of data, including linear regression, polynomial regression, and curve fitting. The best method will depend on the type of data and the relationship between the variables. It is important to also consider the goodness of fit and the simplicity of the function when determining the best fit.

Can a set of data have more than one function?

Yes, a set of data can have more than one function. This is especially true if the data is complex and there are multiple variables that can affect the outcome. In these cases, it is important to carefully analyze the data and choose the function that best represents the relationship between the variables.

How does finding function for a set of data differ from data analysis?

Finding function for a set of data is a specific type of data analysis that focuses on identifying the mathematical relationship between variables. It involves using statistical methods and mathematical models to analyze the data and make predictions. Data analysis, on the other hand, is a broader term that encompasses various techniques for interpreting and understanding data.

What are some common challenges in finding function for a set of data?

Some common challenges in finding function for a set of data include dealing with outliers, handling missing data, and choosing the most appropriate function for the data. It is also important to consider the limitations of the data and the assumptions made when selecting a function. Additionally, complex data sets with multiple variables can be challenging to analyze and may require more advanced techniques.

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