Question

Given the following set of data, find the quadratic regression equation. (0, 1821), (2, 1757), (4, 1565), (6, 1245), (8, 797), (10, 221)

a) y = -157.4x² + 928.9x + 1821
b) y = 157.4x² - 928.9x + 1821
c) y = -157.4x² - 928.9x + 1821
d) y = 157.4x² + 928.9x + 1821

Answer 1

To find the quadratic regression equation, use the least-squares regression method with the given data points.

Step-by-step explanation:

To find the quadratic regression equation, we can use the least-squares regression method. This method finds the quadratic equation that best fits the given data points.

Using a calculator's regression function, we can determine the equation of the least-squares regression line. For the given set of data points (0, 1821), (2, 1757), (4, 1565), (6, 1245), (8, 797), (10, 221), the quadratic regression equation is y = -157.4x² + 928.9x + 1821.