For a line of best fit in a scatter plot, the following statements are true:
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The line must represent the general relationship between the two variables.
This is accurate; the line of best fit aims to summarize the trend in the data. -
The line of best fit can, sometimes, be used as a prediction tool; showing a trend in the data.
This is also true; a line of best fit can be used to make predictions about one variable based on the other.
The other statements are not necessarily true:
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The line must represent the general relationship between the two variables. (Correct)
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The line of best fit should be an exact representation of the data points. (Incorrect)
The line of best fit does not need to pass through all points; it serves to approximate the trend. -
The line of best fit MUST cross through at least 2 points in the scatter plot. (Incorrect)
While it is common for a line of best fit to cross through points, it does not have to intersect any specific points. -
The line of best fit must have an equal number of points above and below the line. (Incorrect)
It is not necessary for the line to have an equal number of points above and below it; it only needs to represent the overall trend.
In summary, the correct statements about the line of best fit are the first and third ones.
44 answers