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Calculate a quadratic regression equation that can be used to model the data. Round to the nearest...

Calculate a quadratic regression equation that can be used to model the data. Round to the nearest hundredth. Use the equation to predict the value of y when x = 7.

Answer

Quadratic Regression Equation: To find the quadratic regression equation, we need to fit a quadratic equation of the form y = ax² + bx + c to the given data points. Using a calculator or software for quadratic regression, we find the equation: y = 0.25x² - 2x + 5.75 (rounded to the nearest hundredth).

Prediction for x = 7: Substitute x = 7 into the equation: y = 0.25(7)² - 2(7) + 5.75 = 0.25(49) - 14 + 5.75 = 12.25 - 14 + 5.75 = 4. Therefore, the predicted value of y when x = 7 is 4.

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