Fitting Linear Models to Data · Review Exercise 85

Consider the data in the table, which shows the percent of unemployed in a city of people 25 years or older who are college graduates is given below, by year.
$$\begin{array}{cccccc}\text{Year}& \text{2000}& \text{2002}& \text{2005}& \text{2007}& \text{2010}\\ \text{Percent Graduates}& \text{6.5}& \text{7.0}& \text{7.4}& \text{8.2}& \text{9.0}\end{array}$$

Based on the set of data given in the table, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.

$$\begin{array}{cccccc}x& \text{10}& \text{12}& \text{15}& \text{18}& \text{20}\\ y& \text{36}& \text{34}& \text{30}& \text{28}& \text{22}\end{array}$$

OpenStax, Algebra and Trigonometry 2e · §4.3 Fitting Linear Models to Data · Review Exercise 85