Carmen drew line A and line B in the two scatter plots shown. one scatter plot contains 12 points indicating a negative correlation and line A, which passes through the middle of points, with 6 above and 6 below, touching none of them; the other scatter plot contains 12 points indicating a positive correlation and line B, which passes through four of the points and sits above the other 8 points. Which statement is true? Both line A and line B are well-placed lines of best fit. Only line A is a well-placed line of best fit. Only line B is a well-placed line of best fit. Neither line A nor line B are well-placed lines of best fit.

Respuesta :

The true statement is that only line A is a well-placed line of best fit

How to determine the true statement?

The scatter plots are not given. However, the question can still be answered

The features of the given lines of best fits are:

Line A

  • 12 points in total
  • Negative correlation
  • Passes through the 12 points with 6 on either sides

Line B

  • 12 points in total
  • Positive correlation
  • Passes through the 12 points with 8 and 4 in either sides

For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.

From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.

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