Respuesta :

An appropriate model is a quadratic, y=0.999x²-1.999x-3.

The r² value is 1, so it is a perfect fit.
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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].

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