For the quadratic regression equation = b₀ + b₁x + b₂x², the predicted y achieves its optimum (maximum or minimum) when x is ________.

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To find the maximum or minimum of a quadratic regression equation in the form of y = ax² + bx + c, we can use the formula x = -b/2a. In this case, we can rewrite the given equation as y = bS1U1B10S1U1B0 + bS1U1B11S1U1B0x + (bS1U1B12S1U1B0x²)/S1S1P0. Comparing to the standard form, we can see that a = bS1U1B12S1U1B0/S1S1P0, and b = bS1U1B11S1U1B0. Thus, the formula becomes x = -b/(2a) = S1U1B0-bS1U1B11S1U1B0/(2bS1U1B12S1U1B0) S1U1B1.

For the Quadratic Regression Equation = B0 + B1x

For the Quadratic Regression Equation = B₀ + B₁x