Fitting Linear Models to Data · Exercise 117

Use the table, which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year.
$$\begin{array}{cccccc}\text{Year}& \text{2000}& \text{2002}& \text{2005}& \text{2007}& \text{2010}\\ \text{Percent Graduates}& \text{8.5}& \text{8.0}& \text{7.2}& \text{6.7}& \text{6.4}\end{array}$$

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. Round to three decimal places of accuracy.

$$\begin{array}{cccccc}x& \text{16}& \text{18}& \text{20}& \text{24}& \text{26}\\ y& \text{106}& \text{110}& \text{115}& \text{120}& \text{125}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §2.4 Fitting Linear Models to Data · Exercise 117