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info@snapandsolve.comTo calculate the quadratic regression equation, we need to fit a quadratic equation of the form y = ax^2 + bx + c to the given data points: (0, 208), (1, 142), (2, 88), and (3, 46).
Using a calculator or statistical software, we find the coefficients:
Thus, the quadratic regression equation is y = -26.00x^2 - 40.00x + 208.00.
To predict the value of y when x = 12, substitute x = 12 into the equation:
y = -26.00(12)^2 - 40.00(12) + 208.00 = -3744 - 480 + 208 = -4016
Therefore, the predicted value of y when x = 12 is -4016.00.
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