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A Quick Proof that the Least Squares Formulas Give a Local Minimum

Use the second derivative test to establish that the regression parameters give a minimum.
Old Node ID: 
1464
MSC Codes: 
Author(s): 
W.M. Dunn III (Montgomery College)
Publication Date: 
Monday, March 12, 2007
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 2005
Subject(s): 
Partial Derivatives
Several Variable Calculus
Calculus
Topic(s): 
Directional Derivatives and Gradients
Optimization
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Rating Count: 
13.00
Rating Sum: 
36.00
Rating Average: 
2.77
Author (old format): 
W. M. Dunn, III
Applicable Course(s): 
3.3 Mainstream Calculus III, IV
Modify Date: 
Thursday, August 9, 2012
Average: 2.8 (13 votes)

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