Q:

** WILL MAKE BRAINLIST **What is the quadratic regression equation for the data set? What is the quadratic regression equation for the data set?

Accepted Solution

A:
Answer:Now I am not completely sure but...maybe is it that:A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. As a result, we get an equation of the form:y = a x 2 + b x + c where a β‰  0 .Cause I think it might be the best way to find this equation manually is by using the least squares method. That is, we need to find the values of a , b , Β  Β  and Β  Β  c such that the squared vertical distance between each point ( x i , y i ) and the quadratic curve y = a x 2 + b x + c is minimal.The matrix equation for the quadratic curve is given by:[ βˆ‘ x i 4 βˆ‘ x i 3 βˆ‘ x i 2 βˆ‘ x i 3 βˆ‘ x i 2 βˆ‘ x i βˆ‘ x i 2 βˆ‘ x i n ] [ a b c ] = [ βˆ‘ x i 2 y i βˆ‘ x i y i βˆ‘ y i ]