Determine the quadratic regression for the data. \{(1, 5), (3, 4), (4, 1), (5, 2), (7, 4)\} Explain how you got your answers. Round to the nearest hundredth.

Question

answer in two sentences

Answer 1

To determine the quadratic regression for the data set {(1, 5), (3, 4), (4, 1), (5, 2), (7, 4)}, I used a quadratic regression formula \(y = ax^2 + bx + c\) and applied a method such as the least squares fit, calculating the coefficients \(a, b,\) and \(c\) to best fit the points. The resulting regression equation is approximately \(y = -0.5x^2 + 3.5x + 1\) when rounded to the nearest hundredth.