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In(Temperature) vs. In(Di 5 4 2 6 B B

In(Temperature) vs. In(Di 5 4 2 6 B B

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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How is the distance from the sun for planets in our solar system related to the mean temperature of each planet? To find out, a scatterplot that relates the natural log of the distance of each planet (including Pluto) from the sun in millions of miles and the natural log of the mean planetary temperature in Kelvin was created.

 

 

Based on the scatterplot and computer output, a reasonable estimate of mean temperature in Kelvin for Saturn, which is 886.7 million miles away from the sun is:

4.822 degrees Kelvin because ŷ = −0.4536(In 886.7) + 7.9009 = 4.822.
124.2 degrees Kelvin because  and e4.822 = 124.2.
709.0 degrees Kelvin because  and e6.564 = 709.0.
0.05 degrees Kelvin because  and e−3.008 = 0.0494.
6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 5.2 5 4.8 4.6 4.4 4.2 4 In(Temperature) 555 In(Temperature) vs. In(Distance) 4 5 6 7 8 9 In(Distance) SE Coef T P Coef 7.9009 0.4381 18.03 0.000 -0.4536 0.0706 -6.42 0.004 R-Sq 85.5% = R-Sq (adj) = 83.29 3 Predictor Constant In Distance S = 0.3446
Transcribed Image Text:6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 5.2 5 4.8 4.6 4.4 4.2 4 In(Temperature) 555 In(Temperature) vs. In(Distance) 4 5 6 7 8 9 In(Distance) SE Coef T P Coef 7.9009 0.4381 18.03 0.000 -0.4536 0.0706 -6.42 0.004 R-Sq 85.5% = R-Sq (adj) = 83.29 3 Predictor Constant In Distance S = 0.3446
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