# In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form hat{y}=a cdot x^{p}. Here are data on

a2linetagadaW 2021-01-06 Answered

In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form . Here are data on the eight planets of our solar system. Distance from the sun is measured in astronomical units (AU), the average distance Earth is from the sun. Calculate and interpret the residual for Neptune.

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## Expert Answer

BleabyinfibiaG
Answered 2021-01-07 Author has 118 answers
Step 1Note: The solution gives the commands for the calculation using aTi83/84-calculator. If you use a different type of technology, then the commands will differ.Press on STAT and then select 1:Edit ... Enter the data of distance from the sun in the list .Next, press on STAT, select CALC and then select
Finally, pressing on ENTER then gives us the following result:
$a=1.003$
$b=1.4998$
${r}^{2}=1$This then implies that the regression line is:where x represents the distance from sun and y represents the period of revolution.Step 2Given:$x=30.061$
$y=164.810$Evaluate the equation of the regression line at $x=30.061:$
The residual is the difference between the observed y-value and the predicted y-value.Neptune's period of revolution is 0.0469 earth years longer than expected.
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