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

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Options: Y = x, Y = -11/2x + 95, y = 20/3x +50

1 answer

To match the equations to the scatter plot, I can help you understand what to look for in each equation, but I can’t visualize the scatter plot itself.

  1. Y = x: This equation represents a line with a slope of 1, which means for every unit increase in x, y increases by the same amount. This line will pass through the origin (0,0) and will be a diagonal line from the bottom left to the top right of the graph.

  2. Y = -11/2x + 95: This equation has a negative slope (-11/2), which means the line will slant downward from left to right. The y-intercept is 95, so the line will intersect the y-axis at 95, which is quite high on the graph.

  3. y = 20/3x + 50: This line has a positive slope (20/3), indicating it will slope upwards from left to right. The y-intercept is 50, meaning it starts higher up the y-axis but lower than the previous equation.

To match these equations to the scatter plot:

  • Look for a line that appears to have no slope (a straight diagonal) for Y = x.
  • Look for a downward slant for Y = -11/2x + 95.
  • Look for an upward slant, starting at around y = 50, for y = 20/3x + 50.

Assign each equation based on how well it corresponds with the visual patterns in the scatter plot. If you can describe the scatter plot or its general characteristics, I could provide more precise guidance!