2. Planets. (Pretend that Pluto is still a planet.) Distance (million Planet miles) Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto 36 67 93 142 484 887 1765 2791 3654 Diameter(miles) Revolution[days) Position 1 2 3 4 3030 7520 7926 4217 88838 74896 31762 30774 1428 88 225 365 687 4332 10760 30684 60188 90467 5 6 7 8 9 (a) Create a scatterplot of distance from the sun versus position. Is the relationship linear? If not, transform the distance using both the square root of distance and the log of distance. Create two new scatterplots using the transformed distances. Which transformation is better? Choose the better transformation. Then create a linear model. Graph the residual plot. Explain the meaning of the residual plot. (b) Create a scatterplot of period of revolution versus distance from the sun. Is the relationship linear? If not, find a power of distance so that the relationship is more linear. Then create a linear model. Create a residual plot. Explain the meaning of the residual plot. Use the linear model to predict the period of an imaginary planet that is 1,000 million miles from the sun.

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Can you please answer the problem below: Thanks

2. Planets. (Pretend that Pluto is still a planet.)
Distance(million
Planet miles)
Mercury
Venus
Earth
Mars
Jupiter
Saturn
Uranus
Neptune
Pluto
36
67
93
142
484
887
1765
2791
3654
Use the linear model -
sun.
Diameter(miles) Revolution(days) Position
1
2
3
3030
7520
7926
4217
88838
74896
31762
30774
1428
88
225
365
687
4332
10760
30684
60188
90467
4
5
6
7
8
(a) Create a scatterplot of distance from the sun versus position.
Is the relationship linear?
If not, transform the distance using both the square root of distance and the log of distance.
Create two new scatterplots using the transformed distances.
Which transformation is better?
Choose the better transformation. Then create a linear model. Graph the residual plot. Explain the
meaning of the residual plot.
9
(b) Create a scatterplot of period of revolution versus distance from the sun.
Is the relationship linear?
If not, find a power of distance so that the relationship is more linear.
Then create a linear model.
Create a residual plot. Explain the meaning of the residual plot.
predict the period of an imaginary planet that is 1,000 million miles from the
Transcribed Image Text:2. Planets. (Pretend that Pluto is still a planet.) Distance(million Planet miles) Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto 36 67 93 142 484 887 1765 2791 3654 Use the linear model - sun. Diameter(miles) Revolution(days) Position 1 2 3 3030 7520 7926 4217 88838 74896 31762 30774 1428 88 225 365 687 4332 10760 30684 60188 90467 4 5 6 7 8 (a) Create a scatterplot of distance from the sun versus position. Is the relationship linear? If not, transform the distance using both the square root of distance and the log of distance. Create two new scatterplots using the transformed distances. Which transformation is better? Choose the better transformation. Then create a linear model. Graph the residual plot. Explain the meaning of the residual plot. 9 (b) Create a scatterplot of period of revolution versus distance from the sun. Is the relationship linear? If not, find a power of distance so that the relationship is more linear. Then create a linear model. Create a residual plot. Explain the meaning of the residual plot. predict the period of an imaginary planet that is 1,000 million miles from the
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