QuestionAugust 24, 2025

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. 14 B. 16 C. 15 D. 13

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. 14 B. 16 C. 15 D. 13
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. 14
B. 16
C. 15
D. 13

Solution
4.2(235 votes)

Answer

A. 14 Explanation 1. Understand Line of Best Fit A line of best fit minimizes the distance between the line and all data points, but not all points need to lie on it. 2. Calculate Maximum Non-Fitting Points Since a line is defined by two points, at least 2 points must be on the line. Therefore, the maximum number of points that may not be on the line is 16 - 2 = 14.

Explanation

1. Understand Line of Best Fit<br /> A line of best fit minimizes the distance between the line and all data points, but not all points need to lie on it.<br /><br />2. Calculate Maximum Non-Fitting Points<br /> Since a line is defined by two points, at least 2 points must be on the line. Therefore, the maximum number of points that may not be on the line is $16 - 2 = 14$.
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