Question

Use quadratic regression to find the

equation for the parabola going
through these 3 points.
(-3, 88), (2, -27), and (4, -17)
y = [ ? ]x² +
X +

Answer 1

To find the equation for the parabola going through the given points using quadratic regression, we can use the method of least squares.

Step-by-step explanation:

To find the equation for the parabola going through the points (-3, 88), (2, -27), and (4, -17) using quadratic regression, we can use the method of least squares. The equation of the parabola will be of the form y = ax^2 + bx + c. We need to find the values of a, b, and c that minimize the sum of the squared differences between the actual y-values and the predicted y-values.

Using the given points, we have three equations:

88 = 9a - 3b + c, -27 = 4a + 2b + c, -17 = 16a + 4b + c.

Solving this system of equations will give us the values of a, b, and c, which we can then use to form the equation of the parabola.