The scatterplot shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?
Correct answer: A. Planetoids that are more distant from the Sun tend to have lesser densities.
- A. Planetoids that are more distant from the Sun tend to have lesser densities.
- B. Planetoids that are more distant from the Sun tend to have greater densities.
- C. The density of a planetoid that is twice as far from the Sun as another planetoid is exactly half the density of that other planetoid.
- D. The distance from a planetoid to the Sun is unrelated to its density.
Explanation
Choice A is correct because the scatterplot's line of best fit has a negative slope, indicating a negative correlation between the planetoids' average distance from the Sun and their densities. This means that as the distance increases, the density decreases. Option B is incorrect because it contradicts the negative trend shown in the scatterplot. Option C is incorrect because the relationship between distance and density is not a direct halving as suggested. Option D is incorrect because the presence of a line of best fit indicates that there is indeed a relationship between the two variables.
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