Question

A set of ordered pairs is shown. {(-16,51.4),(-12,38),(-8,25),(-2,18.1),(2,14),(4,19.4),(6,27),(15,45)} Which equation most closely represents the curve of the best fit for the data set?

Answer 1

The equation that most closely represents the curve of the best fit for the given set of ordered pairs is y = -173.5 + 4.83x.

Step-by-step explanation:

The equation that most closely represents the curve of the best fit for the given set of ordered pairs is y = -173.5 + 4.83x. This equation is obtained from the least-squares regression line or the line of best fit.

In the provided information, it is mentioned that Y2 = -173.5 + 4.83x - 2(16.4) and Y3 = -173.5 + 4.83x + 2(16.4), where y = -173.5 + 4.83x is the line of best fit.

Both Y2 and Y3 have the same slope as the line of best fit.

Graphically, this equation represents the line that best fits the given data points.