Adam has the scatterplot shown for his data set, where snowfall is measured in inches, and he is trying to describe the line of best fit.

Which choice correctly describes the line of best fit?
Responses
A As the amount of snow decreases, the number of accidents decreases.As the amount of snow decreases, the number of accidents decreases.
B As the amount of snow decreases, the number of accidents increases.As the amount of snow decreases, the number of accidents increases.
C As the amount of snow increases, the number of accidents increases.As the amount of snow increases, the number of accidents increases.
D There is no relationship between snowfall and the number of accidents.

1 answer

To determine the correct response regarding the line of best fit based on the relationship between snowfall and the number of accidents, it’s important to analyze the direction and nature of the relationship indicated by the scatterplot.

  1. If the line of best fit slopes downward (negative slope), it means that as snowfall increases, the number of accidents decreases. This would align with response A: "As the amount of snow decreases, the number of accidents decreases."
  2. If the line of best fit slopes upward (positive slope), it means that as snowfall increases, the number of accidents also increase. This aligns with response C: "As the amount of snow increases, the number of accidents increases."
  3. Response B states that as the amount of snow decreases, the number of accidents increase, which would indicate a negative relationship, but in the opposite manner.
  4. Response D suggests that there is no relationship between the two variables.

Without seeing the actual scatterplot, you would select either A or C based on whether the trend is negative or positive. If the scatterplot shows a negative relationship, the correct response would be A; if it shows a positive relationship, the correct response would be C. If there is no discernible pattern, response D would be appropriate.