Yes, they would.
An outlier can significantly skew the line of best fit by pulling it toward itself, which may misrepresent the overall trend of the data. This can lead to a less accurate model, as the line might not reflect the relationship among the majority of the data points. Consequently, the slope and intercept of the line can be altered, affecting predictions and analyses based on the model. It's often advisable to identify and consider the impact of outliers when interpreting results.
Yes but phrased differently
A line of best-fit.
Because the "best fit" line is usually required to be a straight line, but the data points are not all on one straight line. (If they were, then the best-fit line would be a real no-brainer.)
Finding the line of best fit is called linear regression.
outlier
Yes but phrased differently
The line that minimized the sum of the squares of the diffences of each point from the line is the line of best fit.
A line of best-fit.
Because the "best fit" line is usually required to be a straight line, but the data points are not all on one straight line. (If they were, then the best-fit line would be a real no-brainer.)
What is the difference between a trend line and a line of best fit
The line of best fit does not have to pass through the 0 (origin) and rarely does
Finding the line of best fit is called linear regression.
A best-fit line is the straight line which most accurately represents a set of data/points. It is defined as the line that is the smallest average distance from the data/points. Refer to the related links for an illustration of a best fit line.
The line of best fit is simply the line that shows the general direction of the graph. The trick is to make the line go through as many points on the graph as possible. Some scatter plots have no line of best fit.
Check out the related links section below to see an example of a line of best fit.
Not necessarily. Often it is, but the line of best fit is simply an equation that closely matches the results. Therefore any line could be a line of best fit, linear, quadradic, or even cubic! The sky (and the results) are the limit.