Test the significance of the correlation coefficient \(r\) that you found in Exercise 3.

Use \(\alpha=0.01\).

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 3

Calculate the correlation coefficient \(r\) and interpret the result.

Transcribed Image Text:

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