To find the maximum y-value, we need to determine the vertex of the quadratic equation. The x-coordinate of the vertex can be found using the formula x = -b / 2a, where a = -0.582 and b = -0.388.
x = -(-0.388) / (2*-0.582)
x = 0.388 / -1.164
x = -0.3333
Now plug in this x-value into the quadratic equation to find the corresponding y-value:
y = -0.582(-0.3333)^2 - 0.388(-0.3333) + 52.147
y ≈ 53.069
Therefore, the maximum y-value for the quadratic regression equation is approximately 53.069.
For the following quadratic regression equation find the maximum y-value :
y= -0.582x^2 - 0.388x +52.147
1 answer