Quadratic Regression Calculator Online

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For a given set of coordinate points, quadratic regression is a method of finding the equation of the parabola

that best fits for the given set of information. After matching the appropriate quadratic equation, it is written in

its general form as y = ax2 + bx + c. Quadratic regression online calculator is the calculator which can analyze

the points and can giveits quadratic equation.



Example 1: Given is the set of coordinate points: (5, 0), (-2, 0) and (0, -10). Find the quadratic

regression for the given set.



Given coordinate points: (5, 0), (-2, 0) and (0, -10)

Now since for the first two points, the y-value is ‘0’ -> they are the x-intercepts!

y = (x - 5)(x + 2)

y = x2 – 5x +2x – 10 -> y = x2 – 3x -10

Also, if we plug in y = -10 we get x = 0.

Hence this quadratic equation which fits for the given points is-> y = x2 – 3x -1


 
Example 2: Given is the set of coordinate points: (4, 0), (3, 0) and (0, 12). Find the quadratic

regression for the given set.



Given coordinate points: (4, 0), (3, 0) and (0, 12)

Now since for the first two points, the y-value is ‘0’ -> they are the x-intercepts!

y= (x - 4) (x -3)

y = x2 – 4x - 3x + 12-> y = x2 – 7x +12

Also, if we plug in y = 12 we get x = 0.

Hence this quadratic equation which fits for the given pointsis -> y = x2 – 7x +12


 

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