Chapter 3.1, Problem 11E

(a)

To determine

To explain: about the southern states

Answer to Problem 11E

The given graph shows a clear direction

The form of the relationship is slightly curved

The overall relationship in figure is moderately strong;

Explanation of Solution

Given:

  

The given graph shows a clear direction: the overall pattern moves from upper left to lower right. That is, states in which higher percent of higher school graduates take the SAT tend to have lower mean SAT Math scores. We call this a negative association between the two variables. The form of the relationship is slightly curved. More important, most states fall into one of two clusters. In about half of the states $25\%$ or fewer graduates took the SAT. In the other half, more than $40\%$ took the SAT. The overall relationship in figure is moderately strong; states with similar percent taking the SAT tend to have roughly similar mean SAT Math scores.

(b)

To determine

To explain:how West Virginia i is an outlier.

Answer to Problem 11E

States West Virginal at $(19,501)$ , point WV shown in figure, can be described as outliers since it falls outside the overall pattern.

Explanation of Solution

An outlier is an observation that less an abnormal distance from other values. In a random sample from a population, States West Virginal at $(19,501)$ , point WV shown in figure, can be described as outliers since it falls outside the overall pattern.