How is the distance from the sun for planets in our solar system related to the mean temperature of each planet? to find out, sc
atterplots 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. based on the scatterplots, what type of model is most appropriate for comparing distance and temperature?
a. an exponential model is appropriate because the scatterplot relating distance the temperature is curved
b. a linear model is appropriate because the scatterplot relating in(distance) to in(temperature) is roughly linear.
c. a power model is appropriate because the scatterplot relating in(distance) to in(temperature) is roughly linear
d. an exponential model is appropriate because the scatterplot relating distance to in(temperature) is roughly linear
Based on the data shown by the scatterplot on the distances in the solar system, a. an exponential model is appropriate because the scatterplot relating distance to temperature is curved.
<h3>Why is an exponential model appropriate?</h3>
The usage of the natural log to transform some of the variables resulted in the scatterplot of temperature v. distance ratio being curved.
As a result, a linear model cannot be used. The best model will therefore be an exponential model which is best for curves in a scatterplot.
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