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QUESTION IMAGE

each of the scatter plots shown below contains the same set of data poi…

Question

each of the scatter plots shown below contains the same set of data points.
select the plot that shows the line of best fit that most accurately represents the points.

Explanation:

Step1: Recall Line of Best Fit

The line of best fit should minimize the distance between data points and the line, with points roughly balanced above and below.

Step2: Analyze Each Plot

  • Top - Left: Line has too steep a positive slope, points not balanced.
  • Top - Right: Line has a negative slope, but data seems more horizontal/weak positive.
  • Bottom - Left: Steep negative slope, misrepresents data trend.
  • Bottom - Right: Horizontal line, data points (blue) are around y - values 6 - 8, with a horizontal trend (no strong slope). This line balances points above and below, fitting the weak or no - slope trend of the data.

Answer:

The Bottom - Right Graph (the scatter plot in the bottom right corner with the horizontal line of best fit)