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arpon
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Homework Statement
Suppose, the following equation describes the relation between an independent and a dependent variable physical quantities(that will be measured by experiments; for example, temperature, current, voltage etc) x & y :
##y = ax^2 + bx + c##
We have to find the values of the constants (a, b, c).
Homework Equations
The Attempt at a Solution
I have done this experiments for linear relations ,i.e. y = mx + c, where the y-intercept is c and the slope is m. I have also performed experiments for equations like ##y = ax^2## . In this case, I plotted a graph ##y## vs ##x^2##, and the slope of the straight line is ##a##.
In this case, I can easily find the values of a, b, c by taking three pairs of (x, y) value and then solving the three equations, but it gives me less accurate answer.
What is the best way to find the values of the constants in this experiment?