How is the distance from the sun for planets in our solar system related to the mean temperature of each planet? To find out, scatterplots that relate the distance of each planet (including Pluto) from the sun in millions of miles and the mean planetary temperature in Kelvin were created. Some of the scatterplots use the natural log to transform one, or both, of the variables. A graph titled Temperature vs. distance has distance (millions of miles) on the x-axis, and temperature (Kelvin) on the y-axis. Points are in a line that curves down.

A graph titled l n (Temperature) versus distance has distance (millions of miles) on the x-axis, and l n (temperature) on the y-axis. Points are in a line that curves down.

A graph titled l n (Temperature) versus l n (distance) has l n (distance) on the x-axis, and l n (temperature) on the y-axis. Points are in a line with negative slope.

Based on the scatterplots, what type of model is most appropriate for comparing distance and temperature?

An exponential model is appropriate because the scatterplot relating distance to temperature is curved.
A linear model is appropriate because the scatterplot relating ln(distance) to ln(temperature) is roughly linear.
A power model is appropriate because the scatterplot relating ln(distance) to ln(temperature) is roughly linear.
An exponential model is appropriate because the scatterplot relating distance to ln(temperature) is roughly linear.