A scatter plot is shown on the coordinate plane.

scatter plot with points plotted at 1 comma 3, 2 comma 5, 3 comma 4, 3 comma 7, 4 comma 6, 5 comma 4, 5 comma 5, 6 comma 7, 7 comma 5, 8 comma 8, 9 comma 6, and 10 comma 8

Which of the following graphs shows a line on the scatter plot that fits the data?

1 answer

To identify a line that best fits the data on the scatter plot represented by the points you've given, we would typically look for a trend that best represents the relationship between the x and y coordinates.

Given the points:

  • (1, 3)
  • (2, 5)
  • (3, 4)
  • (3, 7)
  • (4, 6)
  • (5, 4)
  • (5, 5)
  • (6, 7)
  • (7, 5)
  • (8, 8)
  • (9, 6)
  • (10, 8)

You will want to consider these aspects while determining the best fit line:

  1. Slope: The slope of the line should reflect the trend of the points. For example, if most points are upward sloping, the best fit line should also be upward sloping.
  2. Y-intercept: The line’s y-intercept will determine where it crosses the y-axis, which can help in deciding the position of the line relative to the data.
  3. Points Distribution: The number of points above and below the line should ideally be balanced.

You may also consider using statistical tools (like linear regression) to calculate the exact line of best fit, but since you're looking for visual approximation, you would match the identified trend with options available in the graph.

If you can provide the details or descriptions of the graphs you are comparing, I can help determine which one shows a line that fits the data best.

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