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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
⇒(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
Learn more about parabola here:
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