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    Least-Squares Property and Regression Analysis

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    1. Describe what a line is that satisfies the least-squares property-what is it and what is the function? (Please share your own way of understanding it).

    2. This week we looked at regression analysis. What is the difference between a simple regression analysis and multiple regression? Please give examples.

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    Solution Preview

    1. The line which satisfies the least-squares property minimizes the squared deviations from the data, that is, given data, (x_1,y_1),...,(x_n,y_n), minimize:
    (x_1- (m y_1 + b))^2 +. . . . (x_n - (m y_2 + b))^2, where m is the slope and b is ...

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