pendiente

2
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 ) ( 1 1 x x δ ± ) ( 2 2 x x δ ± ) ( 1 1 y y δ ± ) ( 2 2 y y δ ± Cálculo del error de la Pendiente 1 2 1 2 x x y y m - - = cm x x ) 01 5 . 2 ( 1 1 ± = ± δ cm x x ) 01 5 . 6 ( 2 2 ± = ± δ cm y y ) 01 5 . 4 ( 1 1 ± = ± δ cm y y ) 1 . 0 5 . 7 ( 2 2 ± = ± δ cm y y a 0 . 3 1 2 = - = cm x x b 0 . 4 1 2 = - = 1 - = = ab b a m 75 . 0 0 . 4 0 . 3 = = m b b m a a m m δ δ δ + = b a m 1 = 2 b a b m - = cm 2 . 0 y y a 1 2 = + = δ δ δ cm 2 . 0 x x b 1 2 = + = δ δ δ ) (cm y ) (cm x

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1 2 3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

)( 11 xx δ± )( 22 xx δ±

)( 11 yy δ±

)( 22 yy δ±

Cálculo del error de la Pendiente

12

12

xx

yym

−−=

cmxx )015.2(11 ±=± δ

cmxx )015.6(22 ±=± δ

cmyy )015.4(11 ±=± δ

cmyy )1.05.7(22 ±=± δ

cmyya 0.312 =−=

cmxxb 0.412 =−=

1−== abb

am

75.00.4

0.3 ==m

bb

ma

a

mm δδδ

∂∂+

∂∂=

ba

m 1=∂∂

2b

a

b

m −=∂∂

cm2.0yya 12 =+= δδδ

cm2.0xxb 12 =+= δδδ

)(cmy

)(cmx

bb

aa

bm δδδ

2

1 −+=

)2.0(16

0.3)2.0(

0.4

1 −+=mδ

)2.0)(19.0()2.0)(25.0( +=mδ

09.004.005.0m =+=δ

)09.075.0(m ±=

Error Relativo

m

mIr

δ=

ba

bbm

aam

Irδδ

∂∂+

∂∂

=

ba

bb

aa

bIr

δδ 2

1 −+=

a

bb

b

a

a

ab

bIr

δδ2

1 −+=

b

b

a

aIr

δδ +=

0.4

2.0

0.3

2.0 +=Ir

12.0=Ir

mIrm *=δ)75.0)(12.0(=mδ

09.0m =δ