Quadratic Regression Calculator

Quadratic regression is a type of a multiple linear regression. It can be manually found by using the least squares method. Use our online quadratic regression calculator to find the quadratic regression equation with graph.

Find the Quadratic Regression Equation with Graph

Ex : 23,12,45,78

Ex : 10,17,15,18

Quadratic regression is a type of a multiple linear regression. It can be manually found by using the least squares method. Use our online quadratic regression calculator to find the quadratic regression equation with graph.

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Formula:

Quadratic Regression Equation(y) = a + b x + c x^2 c = { [ Σ x2 y * Σ xx ] - [Σ xy * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 } b = { [ Σ xy * Σ x2x2 ] - [Σ x2y * Σ xx2 ] } / { [ Σ xx * Σ x2x 2] - [Σ xx2 ]2 } a = [ Σ y / n ] - { b * [ Σ x / n ] } - { a * [ Σ x 2 / n ] }
Where ,
Σ x x = [ Σ x 2 ] - [ ( Σ x )2 / n ] Σ x y = [ Σ x y ] - [ ( Σ x * Σ y ) / n ] Σ x x2 = [ Σ x 3 ] - [ ( Σ x 2 * Σ x ) / n ] Σ x2 y = [ Σ x 2 y] - [ ( Σ x 2 * Σ y ) / n ] Σ x2 x2 = [ Σ x 4 ] - [ ( Σ x 2 )2 / n ] x and y are the Variables. a, b, and c are the Coefficients of the Quadratic Equation n = Number of Values or Elements Σ x= Sum of First Scores Σ y = Sum of Second Scores Σ x2 = Sum of square of First Scores Σ x 3 = Sum of Cube of First Scores Σ x 4 = Sum of Power Four of First Scores Σ xy= Sum of the Product of First and Second Scores Σ x2y = Sum of Square of First Scores and Second Scores

Quadratic Regression is a process of finding the equation of parabola that best suits the set of data. The equation can be defined in the form as a x2 + b x + c. Quadratic regression is an extension of simple linear regression. While linear regression can be performed with as few as two points, whereas quadratic regression can only be performed with more data points to be certain your data falls into the “U” shape. Just enter the set of X and Y values separated by comma in the given quadratic regression calculator to get the best fit second degree quadratic regression and graph.

All the results including graphs generated by this quadratic regression calculator are accurate. Make use of this quadratic regression equation calculator to do the statistics calculation in simple with ease.

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