The quadratic regression equation for the stream of water is
{parabola}
Given that the water stream produced by fountain is parabola
Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)
according to symmetry the third point on the parabola is (12,0)
General equation for a parabola⇒ Y=-4a![X^{2}](https://tex.z-dn.net/?f=X%5E%7B2%7D)
⇒(y-5)=-4a
{ as the Vertex of parabola is (6,5) }
⇒(y-5)=-4a(
)
subtituting (0,0) in the equation to get the value of a
⇒-5=-4a(36)
⇒ a=
equation of parabola⇒(y-5)=-4(
)
Therefore,The quadratic regression equation for the stream of water is ![y=-0.139x^{2} +1.667x](https://tex.z-dn.net/?f=y%3D-0.139x%5E%7B2%7D%20%2B1.667x)
Learn more about parabola here:
brainly.com/question/21685473
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