Question

what are some limitations in using a line of best fit drawn on a scatter plot to make predictions?
a. there may be too much information given on the scatter plot.
b. the line may represent a negative or positive correlation.
c. it is possible to draw different lines to approximate the same data. the line of best fit is only an estimate.
d. the axes of the scatter plot may be labeled incorrectly.
please select the best answer from the choices provided
o a
o b
o c
o d

Explanation:

• Option a: Too much information on a scatter - plot is not a limitation of the line of best fit itself.
• Option b: A line representing a negative or positive correlation is a characteristic, not a limitation.
• Option c: The line of best fit is an approximation. Different people (or methods) can draw slightly different lines (especially when done by hand), and since it's an estimate, there is inherent uncertainty in predictions.
• Option d: Incorrectly labeled axes is a problem with the scatter - plot creation, not a limitation of the line of best fit concept.

Answer:

C. It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.