Using a sample of Illinoisans, we want to know whether education is correlated with income. Data are presented below.

1. By hand, find the correlation, r, between education and income.

2. Does the correlation support the idea that higher education is associated with higher income?

3. Is the association observed in the sample statistically significant? What do we conclude from this test?

4. Calculate and interpret the meaning of the regression slope.

5. Calculate and interpret the meaning of the Y-intercept for the regression line.

6. Calculate and interpret the coefficient of determination.

7. Predict the income for an Illinoisan with 9 years of education.

8. Let's confirm our regression statistics in google sheets.