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

○ a
○ b
○ c
○ d

Explanation:

• Option A: "Too much information" on a scatter plot isn't a limitation of the line of best fit itself for prediction.
• Option B: A line representing negative/positive correlation is a characteristic, not a limitation of using it for prediction.
• Option C: The line of best fit is an estimate, and different people might draw slightly different lines for the same data, which limits the precision of predictions from it. This directly relates to a limitation of using the line of best fit.
• Option D: Incorrect axis labeling is an error in plot construction, not a limitation of the line of best fit method.

Answer:

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