# Suppose that we wish to fit a regression model for which the true regression line passes through

## Question:

Suppose that we wish to fit a regression model for which the true regression line passes through the point (0, 0). The appropriate model is Y = Î²x + Îµ. Assume that we have n pairs of data (x1, y1), (x2, y2), . . . , (xn, yn).

(a) Find the least squares estimate of Î².

(b) Fit the model Y = Î²x + e to the chloride concentrationroadway area data in Exercise 11-12. Plot the fitted model on a scatter diagram of the data and comment on the appropriateness of the model.

Exercised 11-12

An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp. 608€“619) reported the results of a study on the occurrence of sodium and chloride in surface streams in central Rhode Island. The following data are chloride concentration y (in milligrams per liter) and roadway area in the watershed x (in percentage).

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