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QUESTION IMAGE

which graph shows the line of best fit for the data?

Question

which graph shows the line of best fit for the data?

Explanation:

Step1: Recall Line of Best Fit

The line of best fit should minimize the distance between data points and the line, with roughly equal points above and below, following the trend (negative slope here).

Step2: Analyze Each Graph

  • Top - left: Line ends at (14,0), data points don't align well.
  • Top - right: Line has negative slope, data points are balanced around it, following the trend.
  • Bottom - left: Slope too gentle, doesn't match the steep negative trend.
  • Bottom - right: Line too steep, doesn't fit the data's spread.

Answer:

The top - right graph (with the red line starting at (0,18) and ending near (15,0), with data points balanced around it) shows the line of best fit.