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What Is the Least Squares Error E for the Points y=Ax+B?y = A x + B ?

Question 44

Multiple Choice

What is the least squares error E for the points (1, -3) , (-2, 5) , and (0, 10) and the line y=Ax+B?y = A x + B ?


A) E = (A3B) 2( A - 3 B ) ^ { 2 } + (-2A + 5B ) 2) ^2 + (10B ) 2) ^2
B) E = (A+B3) 2( A + B - 3 ) ^ { 2 } + (-2A + B - 5) 2 + (B - 10 ) 2) ^2
C) E = (A3B+3) 2( A - 3 B + 3 ) ^ { 2 } + (-2A + 5B - 5) 2 + (10B - 10 ) 2) ^2
D) E = (A+B+3) 2( A + B + 3 ) ^ { 2 } + (-2A + B - 5) 2 + (B - 10 ) 2) ^2

Correct Answer:

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