Chapter 4.1, Problem 4.7E

(a)

To determine

To explain why we expect a positive association between these variables and also that why we expect house hold income to be generally higher than income per person.

Explanation of Solution

By looking at the scatterplot in the question we can say that we expect positive association because the scatterplot slopes upwards. And we expect house hold income to be generally higher than income per person because the household income includes children, since children do not have an income, you then expect the income per person to be less.

(b)

To determine

To describe the overall pattern of the plot, ignoring the outliers.

Explanation of Solution

By looking at the plot we can say that the mean income per person and the median household income is positive associated and seems to have a linear pattern. The association seems to be moderately strong.

(c)

To determine

To explain what is unusual about the states mentioned in the question in terms of mean income per person and median household income.

Explanation of Solution

The unusual about the states is as,

Unusual about Utah is that it a low mean income per person with an average median household income.

Unusual about Conn. is that it a high mean income per person with a high median household income.

Unusual about D.C. is that it has a high mean income per person with a high median household income.