The correct answer is: blue, because the data points are all close to the line.
The best line to model the data points is the one that is closest to all the points. In this case, the blue line is closer to all the data points than the red line. The length of the line is not a good indicator of how well it models the data, and having a line go through one of the points or having points above and below the line does not necessarily mean it is a better fit. The key is to minimize the distance between the line and the data points, which is achieved by the blue line in this case.
Which line models the data points better and why?
• blue, because it is longer
• blue, because the data points are all close to the line
• red, because it goes through one of the points
• red, because there are three points above the line and three points below the line
2 answers
Blue, because the data points are all close to the line.
17 answers