Chapter 8.2, Problem 1Q

For Questions 8.2.1-8.2.12 use the flowchart in Figure 8.2.4 to identify the experimental designs represented. In each case, answer whichever of the questions on p. 427 are necessary to make the determination.

Kepler’s third law states that “the squares of the periods of the planets are proportional to the cubes of their mean distance from the Sun.” Listed below are the periods of revolution $\left(x\right)$, the mean distances from the sun $\left(y\right)$, and the values $x^2\text{/}{y}^3$ for the eight planets in the solar system $\left(3\right)$.

Planet	$x_i$ (years)	$y_i$ (astronomical units)	$x_i^2/y_i^3$
Mercury	0.241	0.387	1.002
Venus	0.615	0.723	1.001
Earth	1.000	1.000	1.000
Mars	1.881	1.524	1.000
Jupiter	11.86	5.203	0.999
Saturn	29.46	9.54	1.000
Uranus	84.01	19.18	1.000
Neptune	164.8	3.06	1.000