Explanation Given: The given points are ( 0 , 2 ) ( 1 , 4 ) ( 2 , 5 ) . Concept used: Let us consider that equation of the least square line be y = b + m x . Minimize f ( b , m ) to find the value of b and m . The function f ( b , m ) will be the sum of square of the vertical distance from the given points ( x 2 , y 2 ) , ( x 2 , y 2 ) , ( x 3 , y 3 ) to the line. f ( b , m ) = ( y 1 − ( b + x 1 m ) ) 2 + ( y 2 − ( b + x 2 m ) ) 2 + ( y 3 − ( b + x 3 m ) ) 2 Calculation: Here, the given points are ( 0 , 2 ) ( 1 , 4 ) ( 2 , 5 ) . y 1 = 2 , y 2 = 4 , y 3 = 5 and x 1 = 0 , x 2 = 1 , x 3 = 2 We have the equation of the line as y = b + m x . f ( b , m ) = ( 2 − ( b ) ) 2 + ( 4 − ( b + m ) ) 2 + ( 5 − ( b + 2 m ) ) 2 Differentiate f ( b , m ) partially with respect to b . f b = 2 ( 2 − b ) ( − 1 ) + 2 ( 4 − b − m ) ( − 1 ) + 2 ( 5 − b − 2 m ) ( − 1 ) f b = − 4 + 2 b − 8 + 2 b + 2 m − 10 + 2 b + 4 m f b = − 22 + 6 b + 6 m f b b = 6 Differentiate f ( b , m ) partially with respect to m

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 8, Problem 2FOT

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The least-squares line.

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Chapter 8, Problem 1FOT

Chapter 8, Problem 3FOT

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Which of the functions shown below is differentiable at = 0? Select the correct answer below: -7-6-5-4- -6-5-4-3-21, -7-6-5-4-3-2 -7-6-5-4-3-2-1 2 4 5 6 -1

correct answer is Acould you please show me how to compute using the residue theorem

the correct answer is A please explain

Chapter 8 Solutions

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The least-squares line.

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To find: The least-squares line.

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Chapter 8 Solutions

To find:

The least-squares line.