Use the regression equation that you found in Exercise 5 to predict the average annual salary of postsecondary library science teachers when the average annual salary of librarians is \(\$ 56,000\).

Use the data in the table, which shows the average annual salaries (both in thousands of dollars) for librarians and postsecondary library science teachers in the United States for 12 years. 

Data from Exercises 5

Find the equation of the regression line for the data. Draw the regression line on the scatter plot that you constructed in Exercise 2.

Data from Exercises 2

Construct a scatter plot for the data. Do the data appear to have a positive linear correlation, a negative linear correlation, or no linear correlation? Explain.

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Librarians, .x Library science teachers, y 49.1 56.6 50.9 57.6 52.9 59.7 54.7 61.6 55.7 64.3 56.4 67.0 57.0 70.0 57.2 70.8 57.6 73.3 58.1 72.4 58.9 73.0 59.9 72.3