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Match the equation for the line of best fit with the scatter plot graph.(3 points)

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y= - 11/2 x + 95
y=x
y = 20/3x + 50

1 answer

To match the equation for the line of best fit with the scatter plot graph, you will need to analyze the trends shown in the scatter plot. Here’s how to interpret each of the given equations:

  1. y = -11/2 x + 95: This equation has a negative slope, meaning it would represent a downward trend in the graph. For large values of x, y decreases significantly.

  2. y = x: This equation has a slope of 1, indicating a perfect positive linear relationship. It would appear as a straight diagonal line going upwards from the bottom-left to the top-right.

  3. y = 20/3x + 50: This equation has a positive slope (approximately 6.67), which means it represents a steep upward trend.

Depending on the scatter plot:

  • If the data points are generally increasing, look for the equations with positive slopes.
  • If the data points are generally falling, look for the negative slope equation.
  • The steepness of the slope will help determine which positive slope equation to choose.

Please check the scatter plot to see which trend the data points are following and match it to the correct equation above. If you need help picking the right one after looking at the scatter plot, please describe the scatter plot, and I can assist further!