Question

A line of best fit was drawn for 16 data points. what is the maximum number of these data points that may not actually be on the line?

a. 13
b. 16
c. 15
d. 14

Answer 1

The maximum number of data points that may not actually be on the line of best fit is 14.

Step-by-step explanation:

The maximum number of data points that may not actually be on the line of best fit is d. 14.

To determine this, we need to consider the concept of residuals. Residuals represent the vertical distance between each actual data point and the line of best fit.

Based on the given information, we know that the line of best fit was drawn for 16 data points. The maximum number of data points that may not be on the line is equal to the number of data points whose residuals are greater than or equal to 2 times the standard error (2s).

Therefore, the maximum number of data points that may not actually be on the line is 14.