# Question

The scatter diagram drawn in MINITAB shows the relation between the percentage of the population of a

state plus Washington, DC, that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009.

(a) Describe any relation that exists between level of education and median income.

(b) One observation appears to stick out from the rest. Which one? This particular observation is for Washington, DC. Can you think of any reasons why Washington, DC, might have a high percentage of residents with a bachelor’s degree, but a lower than expected median income?

(c) The correlation coefﬁcient between the percentage of the population with a bachelor’s degree and median income with Washington, DC, included in the data set is 0.718. The

correlation coefﬁcient without Washington, DC, included is 0.802. What property does this illustrate about the linear correlation coefﬁcient?

state plus Washington, DC, that has at least a bachelor’s degree and the median income (in dollars) of the state for 2009.

(a) Describe any relation that exists between level of education and median income.

(b) One observation appears to stick out from the rest. Which one? This particular observation is for Washington, DC. Can you think of any reasons why Washington, DC, might have a high percentage of residents with a bachelor’s degree, but a lower than expected median income?

(c) The correlation coefﬁcient between the percentage of the population with a bachelor’s degree and median income with Washington, DC, included in the data set is 0.718. The

correlation coefﬁcient without Washington, DC, included is 0.802. What property does this illustrate about the linear correlation coefﬁcient?

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