which equation best fits these data? PLEASE HELP

Answer:
C
Step-by-step explanation:
Use a quadratic equation regression calculator.
Plugging in all the points, the equation should come somewhere close to
[tex]y=-0.32x^{2} -1.26x+15.81[/tex]
Which is answer choice C.
Answer:
The correct option is C.
Step-by-step explanation:
Answer:
The required quadratic regression model is [tex]y=x^2-2x-3[/tex].
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
[tex]y=ax^2+bx+c[/tex]
Using technology we get,
[tex]a=-0.32,b=-1.26,c=15.81[/tex]
The required quadratic regression model is
[tex]y=-0.32x^2-1.26x+15.81[/tex]
Therefore the correct option is C.