Question

suppose the line of best fit is drawn for some data points. if the mean of the x - coordinates of the points is 8, and the mean of the y - coordinates of the points is - 10, the line must pass through which of these points?

a. (8, - 10)
b. (- 8, 10)
c. (- 10, 8)
d. (10, - 8)

Explanation:

Step1: Recall property of line of best - fit

The line of best - fit for a set of data points always passes through the point $(\bar{x},\bar{y})$, where $\bar{x}$ is the mean of the $x$ - coordinates of the data points and $\bar{y}$ is the mean of the $y$ - coordinates of the data points.

Step2: Identify given means

We are given that $\bar{x}=8$ and $\bar{y}=-10$.

Answer:

A. $(8, - 10)$