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 determine which graph shows a line that fits the scatter plot data, we need to look for a line that best represents the general trend of the points.

  1. Identify the trend: By observing the scatter plot points, we can see that there is a general upward trend as you move from left to right, but with some fluctuations.
  2. Look for a fitted line: The line should be as close as possible to the majority of points, without being overly influenced by any outliers.
  3. Consider the slope: A positive slope might indicate an increasing trend, while a negative slope would indicate a decreasing trend. Since the majority of the data points seem to rise, we are looking for a line with a positive slope.

Without visual references, I can't select specific graphs, but a good line of fit would likely start near the point (1,3) in the lower left and trend up towards the upper right, potentially passing near the points (4,6), (6,7), and (8,8).

Examine the options provided to see which one features a similar upward trend, has a line that closely follows the overall distribution of points, and fits the data accurately while maintaining a balance among the various points.

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