1. Enter the following planetary data in the Stats/List Editor of your calculator. Enter the period in list1 and the

   A semimajor axis of an ellipse or hyperbola is the line segment from the conic section's center to a vertex. The length of a semimajor axis is half the length of the major axis.

   semimajor axis in list2.

Planet	Period (years)	Semimajor axis (A.U.)
Mercury	0.24	0.39
Venus	0.62	0.72
Earth	1.00	1.00
Mars	1.88	1.52
Jupiter	11.86	5.20
Saturn	29.46	9.54

2. Make a scatter plot of the data from Question 1.

3. Find the equation of a power curve to fit the data from Question 1. Use PowerReg in the Regression submenu of the Stats/List Editor Calc menu. Write down the equation.

   How does your power equation compare with Kepler's third law of planetary motion? This law states: "The cube of the semimajor axis equals the square of the period for all planets." This relationship took years for Kepler to discover.

4. Graph the power equation from question 3 together with the scatter plot from Question 2.
5. Calculate the differences in y for the following table:

x	1	2	3	4	5	6
y	3.6	3.9	4	3.9	3.6	3

6. Make a scatter plot of the data from Question 5 and a scatter plot of the differences. Use boxes to mark the original data and plus signs to mark the differences.
7. Locate the root of the difference curve and describe how the root is related to the graph of the original data.

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