Chapter 7, Problem 41E

(a)

To determine

To make a scatterplot and describe the association.

Explanation of Solution

The table for the planets and their position and the average distance of each of the traditional nine planets from the sun is given in the question. The scatterplot of the position and the distance is as follows:

  

The position number is on the horizontal axis and the distance from Sun is on the vertical axis. The relation between position and distance is non-linear with a positive number. There is very little scatter as we look at the scatterplot trend because the points in the scatterplot are in a line and increasing as the position of the planet increases.

(b)

To determine

To explain why would you not want to talk about the correlation between the planet’s position and the distance from the sun.

Explanation of Solution

The table for the planets and their position and the average distance of each of the traditional nine planets from the sun is given in the question. The scatterplot of the position and the distance from the Sun of the nine planets is constructed in part (a). From the scatterplot, we can say that The relation between position and distance is non-linear with a positive number. There is very little scatter as we look at the scatterplot trend because the points in the scatterplot are in a line and increasing as the position of the planet increases. Therefore, we would not want to talk about the correlation between the planet’s position and the distance from the sun.

(c)

To determine

To make a scatterplot showing the logarithm of distance versus position andwhat is better about this scatterplot.

Explanation of Solution

The table for the planets and their position and the average distance of each of the traditional nine planets from the sun is given in the question. The scatterplot of the position and the distance from the Sun of the nine planets is constructed in part (a). Now, the scatterplot of the position number and the logarithm of the distance is as follows:

  

The position number is on the horizontal axis and the logarithm of the distance from Sun is on the vertical axis. The relation between position and logarithm of distance is appears to be roughly linear. There is very little scatter as we look at the scatterplot trend and the points in the scatterplot are in the upward direction.