Question

Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)

Answer 1

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

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

Answer 2

The required quadratic regression model is
`y=x^2-2x-3`.

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

`y=ax^2+bx+c`

Using technology we get,

`a=1,b=-2,c=-3`

The required quadratic regression model is

`y=x^2-2x-3`

Therefore the required quadratic regression model is
`y=x^2-2x-3`.