Question

Which equation best fits these data? PLEASE HELP

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

The given data points are (-6,12), (-4,15), (-3,17), (-1,17), (1,15), (2,11), (3,9), (4,6).

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,

$a=-0.32,b=-1.26,c=15.81$

The required quadratic regression model is

$y=-0.32x^2-1.26x+15.81$

Therefore the correct option is C.

Answer 2

Answer:

C

Step-by-step explanation:

Use a quadratic equation regression calculator.

Plugging in all the points, the equation should come somewhere close to

$y=-0.32x^{2} -1.26x+15.81$

Which is answer choice C.