Respuesta :
An appropriate model is a quadratic, y=0.999x²-1.999x-3.
The r² value is 1, so it is a perfect fit.
The r² value is 1, so it is a perfect fit.

Answer:
The required quadratic regression model is [tex]y=x^2-2x-3[/tex].
Step-by-step explanation:
The given data points are (-1,0), (1,-4), (2,-3), (4,5), (5,12). Plot these points on a coordinate plane.
From the graph it is clear that the given data forms a U-shaped curve. It means we have to find the quadratic regression model.
The general form of quadratic regression model is
[tex]y=ax^2+bx+c[/tex]
Using technology we get,
[tex]a=1,b=-2,c=-3[/tex]
The required quadratic regression model is
[tex]y=x^2-2x-3[/tex]
Therefore the required quadratic regression model is [tex]y=x^2-2x-3[/tex].
