Question

Which regression equation best fits these data ?

Answer 1

Answer: C

Explanation:

Answer 2

C.
`y = -0.30\cdot x^(2)-0.48\cdot x+15.83`

Explanation:

The best fit curve for the given set of points is the quadratic form, which is defined by:

`y = A\cdot x^(2)+B\cdot x + C` (1)

Where:

`x` - Independent variable.

`y` - Dependent variable.

`A`,
`B`,
`C` - Coefficient.

The coefficient associated with the second-power component determines whether vertex is an absolute maximum or not. The vertex is an absolute maximum if and only if
`A < 0`, otherwise it is an absolute minimum. From image we notice that resulting fit curve will have an absolute maximum, then
`A < 0`. Hence, the correct answer is C.