In Exercises 57 - 60, find the least squares regression line...

In Exercises 57 - 60, find the least squares regression line $ y = ax + b $ for the points $ \left(x_1,y_1\right) $, $ \left(x_2,y_2\right) $, . . . ,$ \left(x_n,y_n\right) $ by solving the system for $ a $ and $ b $. $ nb + \left(\sum_{i=1}^{n}x_i\right) a = \left(\sum_{i=1}^{n}y_i\right) $ $ \left(\sum_{i=1}^{n}x_i\right)b + \left(\sum_{i=1}^{n}x_i^2\right)a = \left(\sum_{i=1}^{n}x_i y_i\right) $ Then use a graphing utility to confirm the result. (If you are unfamiliar with summation notation, look at the discussion in Section 9.1 or in Appendix B at the website for this text atacademic.cengage.com.) $ (1, 0.0), (2, 1.1), (3, 2.3), (4, 3.8), (5, 4.0), (6, 5.5), (7, 6.7), (8, 6.9) $

In Exercises 57 - 60, find the least squares regression line $ y = ax + b $ for the points

$ \left(x_1,y_1\right) $, $ \left(x_2,y_2\right) $, . . . ,$ \left(x_n,y_n\right) $

by solving the system for $ a $ and $ b $.

$ nb + \left(\sum_{i=1}^{n}x_i\right) a = \left(\sum_{i=1}^{n}y_i\right) $

$ \left(\sum_{i=1}^{n}x_i\right)b + \left(\sum_{i=1}^{n}x_i^2\right)a = \left(\sum_{i=1}^{n}x_i y_i\right) $

Then use a graphing utility to confirm the result. (If you are unfamiliar with summation notation, look at the discussion in Section 9.1 or in Appendix B at the website for this text atacademic.cengage.com.)

$ (1, 0.0), (2, 1.1), (3, 2.3), (4, 3.8), (5, 4.0), (6, 5.5), (7, 6.7), (8, 6.9) $