a. Consider the data in Exercise 20. Suppose that instead of the least squares line passing through

Question:

a. Consider the data in Exercise 20.

Suppose that instead of the least squares line passing through the points

, we wish the least squares line passing through . Construct a scatter plot of the points and then of the points. Use the plots to explain intuitively how the two least squares lines are related to one another.

b. Suppose that instead of the model

, we wish to fit a model of the form

. What are the least squares estimators of and , and how do they relate to and ?

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