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. In(Temperature) vs. In(Distance) 6.8 6.6 6.2 E 5.8 5.6 5.4 5.2 4.6 4.4 4.2 4 In(Distance) Predictor Constant Coef 7.9009 -0.4536 SE Coef 0.4381 18.03 0.000 -6.42 0.004 In Distance 0.0706 S= 0.3446 R-8g - 85.54 R-8q (adj) - 83.24 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: O 4.822 degrees Kelvin because ý = -0.4536(In 886.7) + 7.9009 = 4.822. O 124.2 degrees Kelvin because iny = -0,4536(mn 86.7) +7.9009 =4,822 and et 82 = 124.2. O 709.0 degrees Kelvin because iny = -0,4536(kog 886,7) + 7.9KK9 = 6,564 and ef 564 = 709.0. O 0.05 degrees Kelvin because In y = -0,4536(in 886.7) + 0.0706 = – 3.008 and e3008 = 0.0494. 889426D O642 58642 6666 555 4444 In(Temperature)

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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.
In(Temperature) vs. In(Distance)
6.8
6.6
6.4
6.2
6
5.8
5.6
5.4
5.2
4.8
4.6
4.4
4.2
4
4
6 7
8.
In(Distance)
Predictor
Coef
7.9009
SE Coef
P
Conatant
0.4381
18.03
0.000
In Distance
-0.4536
0.0706
-6.42
0.004
s = 0.3446
R-Sq = 85.5
R-8q (adj) = 83.2%
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:
O 4.822 degrees Kelvin because ý = -0.4536(In
886.7) + 7.9009 = 4.822.
O 124.2 degrees Kelvin because
in y = -0,4536(in 886,7) + 7.9009 =4,822
and e4.822 = 124.2.
O 709.0 degrees Kelvin because
In y = - 0.4536(log 886.7) + 7.9009 =6.564
and e6.564 = 709.0.
O 0.05 degrees Kelvin because
In y = -0,4536(in 886.7) + 0.0706 = - 3.008
and e-3.008 = 0.0494.
In(Temperature)
3.
Transcribed Image Text: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. In(Temperature) vs. In(Distance) 6.8 6.6 6.4 6.2 6 5.8 5.6 5.4 5.2 4.8 4.6 4.4 4.2 4 4 6 7 8. In(Distance) Predictor Coef 7.9009 SE Coef P Conatant 0.4381 18.03 0.000 In Distance -0.4536 0.0706 -6.42 0.004 s = 0.3446 R-Sq = 85.5 R-8q (adj) = 83.2% 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: O 4.822 degrees Kelvin because ý = -0.4536(In 886.7) + 7.9009 = 4.822. O 124.2 degrees Kelvin because in y = -0,4536(in 886,7) + 7.9009 =4,822 and e4.822 = 124.2. O 709.0 degrees Kelvin because In y = - 0.4536(log 886.7) + 7.9009 =6.564 and e6.564 = 709.0. O 0.05 degrees Kelvin because In y = -0,4536(in 886.7) + 0.0706 = - 3.008 and e-3.008 = 0.0494. In(Temperature) 3.
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