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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 ...

#### Solution Summary

Provides a solution to each of the given questions.

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