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1435 Serie TYLER %P %Ac(+) Malla micras(X) 80 173 48.00 7.09 7.09 100 149 25.00 3.69 10.78 140 105 55.00 8.13 18.91 170 88 53.00 7.83 26.75 200 74 32.00 4.73 31.47 325 37 80.00 11.82 43.30 400 33 29.00 4.29 47.58 -400 354.66 52.41 100.00 7 676.66 DE LA FUNCION SHUMAN m= B= K= K= X= Peso gr. B=log100/ ^ γ€– =100( / ) γ€— ^ y=( /√ )^ lg y =mlgx +log100/ ^ lg y = y lgx = x log100/ ^ = B y = mx +B m= ( β–’ βˆ‘ βˆ’ γ€– βˆ‘ β–’ β–’ γ€– γ€—γ€— βˆ‘ )/( γ€– β–’ βˆ‘γ€— ^2βˆ’ β–’ βˆ‘ γ€– ( ) γ€— ^2 ) B= ( β–’ ^(2 ) βˆ‘ β–’ βˆ‘ βˆ’ β–’ β–’ γ€–βˆ‘βˆ‘ γ€— )/( β–’ γ€– γ€— βˆ‘ ^ 2βˆ’ β–’ βˆ‘ γ€– ( ) γ€— ^2 ) B=log ^ lg y +log γ€– =100 O/F GENERAL

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Page 1: Dddd Dddd Dddd Dddd

1435

Serie TYLER %P %Ac(+) %Ac(-) Log(X)

Malla micras(X) F(X)

80 173 48.00 7.09 7.09 92.91 2.238046103100 149 25.00 3.69 10.78 89.21 2.173186268140 105 55.00 8.13 18.91 81.08 2.021189299170 88 53.00 7.83 26.75 73.25 1.944482672200 74 32.00 4.73 31.47 68.52 1.86923172325 37 80.00 11.82 43.30 56.70 1.568201724400 33 29.00 4.29 47.58 52.41 1.51851394

-400 354.66 52.41 100.00 - 7 676.66 13.33285173

DE LA FUNCION SHUMAN

m= 0.340130606727B= 1.209449897768

K= 2.324254526338K= 210.9864312784

y=80

X= 109.4799334527

Peso gr.

x=P80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

O/F GENERAL

Page 2: Dddd Dddd Dddd Dddd

y=80

O/F D-6

Serie TYLER %P %Ac(+) %Ac(-) Log(X)

Malla micras(X) F(X)

80 173 30.00 6.12 6.12 93.88 2.238046103100 149 16.00 3.26 9.38 90.62 2.173186268140 105 37.00 7.54 16.92 83.08 2.021189299170 88 26.00 5.30 22.22 77.78 1.944482672200 74 9.00 1.83 24.06 75.94 1.86923172

-200 372.49 75.94 100.00 - 5 490.49 10.24613606

DE LA FUNCION SHUMAN

m= 0.259788659898B= 1.39176323713

K= 2.341275262399K= 219.4195208765

y=80

X= 92.94825134404

x=P80=Β΅

Peso gr.

x=P80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 3: Dddd Dddd Dddd Dddd

y=80

5X10

Serie TYLER %P %Ac(+) %Ac(-) Log(X)

Malla micras(X) F(X)

20 850 53.00 6.19 6.19 93.81 2.92941892680 173 318.00 37.17 43.36 56.64 2.238046103

100 149 36.00 4.21 47.57 52.43 2.173186268140 105 62.00 7.25 54.82 45.18 2.021189299170 88 82.00 9.58 64.40 35.60 1.944482672200 74 11.00 1.29 65.69 34.31 1.86923172

-200 293.55 34.31 100.00 - 5 855.55 13.17555499

DE LA FUNCION SHUMAN

m= 0.827113906038B= -0.14219784003

K= 2.589967142844K= 389.0157123533

y=80

X= 297.0302476029

x=F80=Β΅

Peso gr.

x=P80=Β΅

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 4: Dddd Dddd Dddd Dddd

y=80x=F80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 5: Dddd Dddd Dddd Dddd

LogF(X)X^2 X*Y Serie TYLER %P

Malla micras(X)

1.9680453238 5.0088503597 4.4045761677 80 173 183.00 15.48 1.950421895 4.7227385572 4.2386300798 100 149 80.00 6.77

1.9089327947 4.0852061827 3.8583145374 140 105 161.00 13.62 1.8648133681 3.7810128623 3.6260972811 170 88 99.00 8.37 1.8358291265 3.494027222 3.4315900352 200 74 18.00 1.52 1.7535760181 2.4592566474 2.7499609348 -200 37 641.20 54.24 1.7194417053 2.3058845856 2.6109961983 5 1,182.20

13.001060231 25.856976417 24.920165234DE LA FUNCION SHUMAN

y=80

Peso gr.

x=F80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

4X5

Page 6: Dddd Dddd Dddd Dddd

LogF(X)X^2 X*Y

Serie TYLER %P1.972590046 5.0088503597 4.4147474655 Malla micras(X)

1.9572318373 4.7227385572 4.2534293529 80 173 190.00 18.79 1.9194867979 4.0852061827 3.8796461756 100 149 70.00 6.92 1.8908530008 3.7810128623 3.6767308956 140 105 128.00 12.66 1.8804844605 3.494027222 3.515061202 170 88 73.00 7.22

200 74 13.00 1.29 9.6206461425 21.091835184 19.739615092 325 37 123.00 12.16

-325 414.11 40.96 6 1011.11

DE LA FUNCION SHUMAN

Peso gr.

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

Page 7: Dddd Dddd Dddd Dddd

y=80

LogF(X)X^2 X*Y

Serie TYLER %PMalla micras(X)

1.9722267035 8.5814952423 5.7774782309 20 850 80.00 7.45 1.7530932023 5.0088503597 3.9235034098 80 173 473.00 44.08 1.7195654654 4.7227385572 3.736936057 100 149 47.00 4.38

1.654960282 4.0852061827 3.3449880123 140 105 80.00 7.45 1.5514132082 3.7810128623 3.0166961007 170 88 40.00 3.73 1.5354366891 3.494027222 2.8700869629 200 74 12.00 1.12

-200 341.15 31.79 10.18669555 29.673330426 22.669688774 5 1,073.15

DE LA FUNCION SHUMAN

x=F80=Β΅

Peso gr.

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘šπ‘¦γ€–=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )

B=log100/𝐾^π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

Page 8: Dddd Dddd Dddd Dddd

y=80x=F80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

Page 9: Dddd Dddd Dddd Dddd

%Ac(+) %Ac(-) Log(X) LogF(X)X^2 X*Y

F(X)

15.48 84.52 2.2380461 1.92696147 5.00885036 4.31262861 22.25 77.75 2.17318627 1.89071906 4.72273856 4.1088847 35.87 64.13 2.0211893 1.80709283 4.08520618 3.65247668 44.24 55.76 1.94448267 1.74632624 3.78101286 3.39570112 45.76 54.24 1.86923172 1.73430256 3.49402722 3.24181335 100.00 -

10.2461361 9.10540216 21.0918352 18.7115045

m= 0.55126813B= 0.69140678

K= 2.37378718K= 236.476062

y=80

X= 157.758398

x=P80=Β΅

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 10: Dddd Dddd Dddd Dddd

5X5

%Ac(+) %Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 18.79 81.21 2.2380461 1.90960294 5.00885036 4.27377941 25.71 74.29 2.17318627 1.87090514 4.72273856 4.06582536 38.37 61.63 2.0211893 1.78976632 4.08520618 3.61745652 45.59 54.41 1.94448267 1.73565113 3.78101286 3.37494356 46.88 53.12 1.86923172 1.72526483 3.49402722 3.22491975 59.04 40.96 1.56820172 1.61231731 2.45925665 2.52843879 100.00 -

11.8143378 10.6435077 23.5510918 21.0853634

m= 0.44340113B= 0.90083616

K= 2.47893785K= 301.257485

y=80

X= 182.128225

x=P80=Β΅

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 11: Dddd Dddd Dddd Dddd

U/F D-6

%Ac(+) %Ac(-) Log(X) LogF(X)X^2 X*Y

F(X)

7.45 92.55 2.92941893 1.96635442 8.58149524 5.76027584 51.53 48.47 2.2380461 1.68546817 5.00885036 3.77215548 55.91 44.09 2.17318627 1.64433841 4.72273856 3.57345366 63.36 36.64 2.0211893 1.56389785 4.08520618 3.1609336 67.09 32.91 1.94448267 1.51729878 3.78101286 2.95036119 68.21 31.79 1.86923172 1.50228495 3.49402722 2.80811867 100.00 -

13.175555 9.87964258 29.6733304 22.0252984

m= 0.79446676B= -0.11757959

K= 2.66540992K= 462.817654

y=80

X= 349.485138

x=P80=Β΅

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 12: Dddd Dddd Dddd Dddd

Serie TYLER %P %Ac(+)Malla micras(X)

20 850 1.00 0.27 0.27 60 246 32.00 8.53 8.80 80 173 32.00 8.53 17.33

140 105 76.00 20.27 37.60 200 74 25.00 6.67 44.27 325 37 50.00 13.33 57.60

-325 158.99 42.40 100.00 6 374.99

DE LA FUNCION SHUMAN

m=B=

K=K=

X=

Peso gr.

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

4X5

Page 13: Dddd Dddd Dddd Dddd

y=80

Serie TYLER %P %Ac(+)Malla micras(X)

20 850 7.00 2.73 2.73 60 246 85.00 33.12 35.84 80 173 20.00 7.79 43.63

140 105 37.00 14.41 58.05 200 74 16.00 6.23 64.28 325 37 22.00 8.57 72.85

-325 69.68 27.15 100.00 6 256.68

DE LA FUNCION G. SHUMAN

m=B=

logK=K=

X=

y=80

x=F80=Β΅

Peso gr.

x=P80=Β΅

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 14: Dddd Dddd Dddd Dddd

%Ac(-) Log(X) LogF(X)X^2 X*Y Serie TYLER

F(X) Malla micras(X) 99.73 2.92941893 1.9988403 8.58149524 5.85544061 20 850 91.20 2.39093511 1.95999372 5.71657069 4.6862178 60 246 82.67 2.2380461 1.917328 5.00885036 4.29106845 80 173 62.40 2.0211893 1.79517761 4.08520618 3.62839378 140 105 55.73 1.86923172 1.74610582 3.49402722 3.26387638 200 74 42.40 1.56820172 1.62735012 2.45925665 2.55201327 325 37 - -325

13.0170229 11.0447956 29.3454063 24.2770103 6

DE LA FUNCION SHUMAN

0.285344271.22174378

2.72742894533.861916

y=80

244.232841

x=P80=Β΅

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

4X5

B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

lg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x

log100/𝐾^π‘š = B

y = mx +B

m= (π‘βˆ‘β–’ βˆ’γ€–π‘‹π‘Œβˆ‘β–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )B=log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y=(π‘₯/βˆšπ‘˜ )^π‘šlg y =mlgx +log100/𝐾^π‘š

lg y = y

lgx = x y = mx +B

B= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

Page 15: Dddd Dddd Dddd Dddd

y=80

5X10

%Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 97.27 2.92941893 1.98799173 8.58149524 5.82366058 64.16 2.39093511 1.80724883 5.71657069 4.32101467 56.37 2.2380461 1.75101647 5.00885036 3.91885559 41.95 2.0211893 1.62274302 4.08520618 3.27987082 35.72 1.86923172 1.55288257 3.49402722 2.90269736 27.15 1.56820172 1.43371611 2.45925665 2.24835608 -

13.0170229 10.1555987 29.3454063 22.4944551

0.417987380.78577457

2.90493322803.402582

y=80

471.068525

x=F80=Β΅

x=P80=Β΅

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 16: Dddd Dddd Dddd Dddd

5X5

%P %Ac(+) %Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 1.00 0.29 0.29 99.71 2.92941893 1.99872247 8.58149524 5.85509544 51.00 14.98 15.27 84.73 2.39093511 1.9280172 5.71657069 4.60976402 18.00 5.29 20.56 79.44 2.2380461 1.90003365 5.00885036 4.2523629 59.00 17.33 37.89 62.11 2.0211893 1.79315435 4.08520618 3.62430439 30.00 8.81 46.70 53.30 1.86923172 1.72670363 3.49402722 3.2276092 42.00 12.34 59.04 40.96 1.56820172 1.61236518 2.45925665 2.52851386 139.45 40.96 100.00 - 340.45 13.0170229 10.9589965 29.3454063 24.0976498

m= 0.29148129B= 1.19412964

K= 2.76474127K= 581.756539

y=80

X= 270.562163

Peso gr.

x=P80=Β΅

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y = mx +B

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y = mx +B

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y = mx +B

B=log100/𝐾^π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

y = mx +B

B=log100/𝐾^π‘š

lg y =mlgx +log100/𝐾^π‘š 𝑦〖=100(π‘₯/π‘˜) γ€—Μ‚ π‘š

Page 17: Dddd Dddd Dddd Dddd

20000 9072

Ø BOLAS PESO SUPERFICIE PESO/AREA%

PESO TOTAL C/BOLA DE C/BOLA DE C/BOLA BOLAS lbs

4 9.259259259 50.26548246 0.18420711 33.12900027044 6625.800053 4.900793651 28.27433388 0.173330119 31.17281168304 6234.56234

3.5 7.638888889 38.48451001 0.198492559 35.69818804652 7139.637610.556029788 100 20000

lb/pulg2

Ø BOLAS PESO SUPERFICIE PESO/AREA%

PESO TOTAL C/BOLA DE C/BOLA DE C/BOLA BOLAS lbs

3.5 7.638888889 38.48451001 0.198492559 39.93706886119 3993.706893 4.900793651 28.27433388 0.173330119 34.87433942474 3487.43394

2.5 2.458112875 19.63495408 0.125190661 25.18859171407 2518.859172 1.300705467 12.56637061 0.103506852 20.82576949453 2082.57695

0.497013339 100 10000lb/pulg2

Ø BOLAS PESO SUPERFICIE PESO/AREA % PESO TOTAL C/BOLA DE C/BOLA DE C/BOLA BOLAS lbs

2 1.300705467 12.56637061 0.103506852 37.52650176678 2401.696111.5 0.771604938 7.068583471 0.109159769 39.57597173145 2532.86219

1 0.198412698 3.141592654 0.063156723 22.89752650177 1465.44170.275823345 100 6400

lb/pulg2

DXL mm MOLINO R.P.M MOTOR HP5X5 1525x1525 26 50

636512600

Page 18: Dddd Dddd Dddd Dddd

# DE BOLAS

715.586405841522 8341272.15361038493 1483 4"

934.643468854232 1089 3 1/2"

total 3406 3

2 1/2"

2

1 1/2"

1

# DE BOLAS

522.812537819194 376711.605954253903 5121024.71257412562 7381601.11339707128 1152

total 2778

# DE BOLAS

1846.45653710247 18463282.58939929329 32837385.82614840989 7386

total 12515

carga de bolas 45% peso molino5600

Page 19: Dddd Dddd Dddd Dddd

4.2

3.465

2.223

1.115

0.59

0.35

0.09

Page 20: Dddd Dddd Dddd Dddd

TURNO DIA

PARAMETROS DE PLANTAHORA pies CARGA

6:00 4000 4100

7:00 3900 4000

8:00 3900 40009:00 3800 3900

10:00 3900 400011:00 3950 4050

12:00 3900 4000

1:00 3900 40002:00 4000 41003:00 3800 39004:00 4000 4100

5:00 3950 4050

3917 4017

TURNO NOCHE

PARAMETROS DE PLANTAHORA pies CARGA

6:00 3800 3900

7:00 3950 4050

8:00 4000 4100

9:00 4000 4100

10:00 3900 4000

11:00 4000 4100

12:00 4000 4100

1:00 3900 4000

2:00 3950 4050

3:00 4000 4100

4:00 3900 4000

5:00 3900 4000

3942 4042

Page 21: Dddd Dddd Dddd Dddd

PARAMETROS DE PLANTAHORA ρ (g/L) M-5X10 ρ (g/L) M-5X5

6:00 1540 1650

7:00 1540 1640

8:00 1530 1620

9:00 1520 1630

10:00 1560 1680

11:00 1520 1630

12:00 1530 1650

1:00 1550 1640

2:00 1510 1620

3:00 1560 1630

4:00 1520 1430

5:00 1540 1620

1535 1620

Page 22: Dddd Dddd Dddd Dddd

PARAMETROS DE PLANTADENSIDAD malla -200

1400

1410 CIANURO

1400 73 HORA kg

1420 6:00

1420 7:00

1410 8:00 100

1420 71.44 9:00

1420 10:00

1410 11:00

1410 12:00 1001410 1:00

1400 2:00

1411 72 3:00

4:00 100

5:00

PARAMETROS DE PLANTADENSIDAD malla-200

1420

1420 CIANURO

1400 HORA kg

1410 72.00 6:00

1420 7:00

1410 8:00 100

1410 9:00

1420 10:00

1410 72.15 11:00

1420 12:00

1420 1:00 100

1430 2:00

1416 72 3:00

4:00

Page 23: Dddd Dddd Dddd Dddd

5:00 100PARAMETROS DE PLANTA

ρ (g/L) M-4X5 ρ (g/L) OVER FLOW1780 1420

1800 1420

1700 1400 PARAMETROS DE PLANTA1750 1410 HORA pies CARGA DENSIDAD1760 1420 6:00 3800 3900 1420

1740 1410 7:00 3950 4050 1420

1710 1410 8:00 4000 4100 1400

1720 1420 9:00 4000 4100 1410

1760 1410 10:00 3900 4000 1420

1740 1420 11:00 4000 4100 1410

1760 1420 12:00 4000 4100 1410

1750 1430 1:00 3900 4000 1420

1748 1416 2:00 3950 4050 1410

3:00 4000 4100 1420

4:00 3900 4000 1420

5:00 3900 4000 1430

3942 4042 1416

N46
Jefe Guardia: 5:40 se preparo
Page 24: Dddd Dddd Dddd Dddd

SODA 6:00am8:00 AM 10:00 AM 12:00:00 m

kg

PH

5x10 11.50 11.50 11.50 11.50OVER 11.00 11.00 11.00 11.00TK-1 11.00 11.00 11.00 11.00

3 TK-7 11.00 11.00 11.00 11.00

CIANURO

5x10 0.18 0.34 0.38 0.353 OVER 0.17 0.20 0.35 0.25

TK-1 0.24 0.20 0.32 0.22

TK-7 0.23 0.21 0.20 0.21

3

SODA 6:00pm 8:00pm 9:59 PM 12:00 PM

kg

PH

5x10 11.50 12.00 12.00 11.50

OVER 11.50 11.50 11.50 11.00

TK-1 11.00 11.00 11.00 11.00

3 TK-7 11.00 11.00 11.00 11.00

CIANURO

5x10 0.42 0.37 0.38 0.36

OVER 0.33 0.29 0.28 0.29

3 TK-1 0.26 0.24 0.25 0.25

TK-7 0.24 0.24 0.23 0.22

Page 25: Dddd Dddd Dddd Dddd

3

PARAMETROS DE PLANTAmalla-200

72.00

72.15

72

Page 26: Dddd Dddd Dddd Dddd

2:00 PM 4:00 PM PROMEDIO GLOBAL

11.50 11.50 5X10 11.50

11.00 11.00 OVER 11.00

11.00 11.00 TK-1 11.00

11.00 11.00 TK-7 11.00

0.36 0.37 5x10 0.33

0.30 0.30 OVER 0.26

0.22 0.23 TK-1 0.24

0.20 0.21 TK-7 0.21

2:00am 3:59 AM PROMEDIO GLOBAL

11.50 11.50 5X10 11.67

11.00 11.00 OVER 11.25

11.00 11.00 TK-1 11.00

11.00 11.00 TK-7 11.00

0.32 0.35 5x10 0.37

0.27 0.30 OVER 0.29

0.24 0.25 TK-1 0.25

0.22 0.22 TK-7 0.23

Page 27: Dddd Dddd Dddd Dddd

descarga de la chancadora primaria

Serie TYLER %P %Ac(+)Malla micras(X)3/4. 19050 1.89 42.28 42.28 1/2. 12700 0.62 13.91 56.18 3/8. 9525 0.22 4.84 61.03 1/8. 3175 1.17 26.12 87.14

1/16. 1587.5 0.35 7.75 94.89 20 850 0.09 2.05 96.94 80 246 0.09 1.94 98.88 -80 0.05 1.12 100.00 7 4.48

ALIMENTACIO T DE FINOS (FAJA)

Serie TYLER %P %Ac(+)Malla micras(X)3/4. 19050 0.25 10.60 10.60 1/2. 12700 0.36 15.49 26.09 3/8. 9525 0.19 8.14 34.23 1/8. 3175 0.60 25.96 60.19

1/16. 1587.5 0.59 25.53 85.72 20 850 0.12 5.37 91.09 80 246 0.13 5.63 96.71

100 173 0.01 0.39 97.10 140 105 0.02 0.78 97.88 200 74 0.01 0.39 98.27 325 37 0.02 0.78 99.05 -325 0.02 0.95 100.00

11 2.31

OVER ZARANDA VIVBRATORIA

Serie TYLER %P %Ac(+)Malla micras(X)

Peso Kg.

Peso Kg.

Peso Kg.

Page 28: Dddd Dddd Dddd Dddd

3/4. 19050 4.17 88.81 88.81 1/2. 12700 0.51 10.94 99.74 .-1/2 0.012 0.26 100.00

2 4.70

ALIMENTACION CHANCADORA PRIMARIA

Serie TYLER %P %Ac(+)Malla micras(X)3/4. 19050 3.21 39.65 39.65 1/2. 12700 1.72 21.26 60.91 3/8. 9525 1.24 15.36 76.27 1/8. 3175 1.15 14.21 90.47

1/16. 1587.5 0.34 4.20 94.68 20 850 0.15 1.85 96.53 80 246 0.18 2.22 98.75

100 173 0.02 0.28 99.04 140 105 0.03 0.37 99.41 200 74 0.01 0.10 99.51 325 37 0.02 0.25 99.75 -325 0.02 0.25 100.00

11 8.09

DESCARGA DE LA CHANCADORA PRIMARIA

Serie TYLER %PMalla micras(X)3/4. 19050 1.89 42.30 1/2. 12700 0.62 13.91 3/8. 9525 0.22 4.85 1/8. 3175 1.17 26.13

1/16. 1587.5 0.35 7.75 20 850 0.09 2.05 80 246 0.09 1.94

100 173 0.01 0.13 140 105 0.01 0.27 200 74 0.01 0.22

Peso Kg.

Peso Kg.

Page 29: Dddd Dddd Dddd Dddd

325 37 0.01 0.22 -325 0.01 0.22

11 4.48

Page 30: Dddd Dddd Dddd Dddd

%Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 57.72 4.27989498 1.761350507 18.317501 7.53839519 43.82 4.10380372 1.641642286 16.841205 6.73697772 38.97 3.97886498 1.590766225 15.8313666 6.32944403 12.86 3.50174373 1.109144469 12.2622091 3.88393969 5.11 3.20071373 0.708557468 10.2445684 2.26788962 3.06 2.92941893 0.485442553 8.58149524 1.4220646 1.12 2.39093511 0.04769199 5.71657069 0.11402845 -

24.3853752 7.344595499 87.7949161 28.2927393

%Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 89.40 4.27989498 1.951330372 18.317501 8.35148906 73.91 4.10380372 1.868687921 16.841205 7.66872844 65.77 3.97886498 1.818043642 15.8313666 7.23375019 39.81 3.50174373 1.599987882 12.2622091 5.60274753 14.28 3.20071373 1.154713994 10.2445684 3.69590894 8.91 2.92941893 0.950067275 8.58149524 2.78314506 3.29 2.39093511 0.517013647 5.71657069 1.23614608 2.90 2.2380461 0.462274857 5.00885036 1.03459244 2.12 2.0211893 0.326396135 4.08520618 0.65970837 1.73 1.86923172 0.238260046 3.49402722 0.44536324 0.95 1.56820172 -0.021377265 2.45925665 -0.03352386 -

32.082044 10.86539851 102.842256 38.6780555

%Ac(-) Log(X) LogF(X)X^2 X*Y

F(X)

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝑃80log 80= a+b logx

Page 31: Dddd Dddd Dddd Dddd

11.19 4.27989498 1.048887886 18.317501 4.48913 0.26 4.10380372 -0.592916612 16.841205 -2.4332134 -

8.3836987 0.455971274 35.158706 2.0559166

%Ac(-) Log(X) LogF(X) X^2 X*Y

F(X) 60.35 4.27989498 1.780701368 18.317501 7.62121485 39.09 4.10380372 1.592073275 16.841205 6.53355623 23.73 3.97886498 1.375364165 15.8313666 5.47238832 9.53 3.50174373 0.978891178 12.2622091 3.42782604 5.32 3.20071373 0.72631407 10.2445684 2.32472342 3.47 2.92941893 0.54054312 8.58149524 1.58347725 1.25 2.39093511 0.096158174 5.71657069 0.22990795 0.96 2.2380461 -0.016068597 5.00885036 -0.03596226 0.59 2.0211893 -0.226921963 4.08520618 -0.45865224 0.49 1.86923172 -0.306103209 3.49402722 -0.57217783 0.25 1.56820172 -0.607133204 2.45925665 -0.95210734 -

32.082044 5.933818376 102.842256 25.1741944

DESCARGA DE LA CHANCADORA PRIMARIA

%Ac(+) %Ac(-) Log(X) LogF(X)X^2 X*Y

F(X) 42.30 57.70 4.27989498 1.76120842 18.317501 7.53778708 56.21 43.79 4.103803721 1.6413935 16.841205 6.73595677 61.05 38.95 3.978864984 1.59046239 15.8313666 6.32823512 87.18 12.82 3.50174373 1.1078278 12.2622091 3.87932906 94.93 5.07 3.200713734 0.70494177 10.2445684 2.2563168 96.99 3.01 2.929418926 0.47924968 8.58149524 1.40392308 98.93 1.07 2.390935107 0.03015715 5.71657069 0.07210378 99.06 0.94 2.238046103 -0.0278348 5.00885036 -0.06229556 99.33 0.67 2.021189299 -0.17396283 4.08520618 -0.35161182 99.55 0.45 1.86923172 -0.35005409 3.49402722 -0.65433222

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

𝑦=80 π‘₯=𝑃80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

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99.78 0.22 1.568201724 -0.65108409 2.45925665 -1.02103119 100.00 -

32.08204403 6.1123049 102.842256 26.1243809

a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

Page 33: Dddd Dddd Dddd Dddd

b= 0.95132861a= -2.26484423

logx= 4.28380702X=F80= 19222.374

b= 0.75361703a= -1.21019783

logx= 3.50894254X=F80= 3228.06702

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝑃80log 80= a+b logx

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b= 9.3236002a= -38.8551418

logx= 6.0704868X=P80= 1176215.25

b= 0.84844064a= -1.93508107

logx= 4.18384007X=F80= 15270.0362

b= 0.8947691a= -2.05397425

logx= 4.19862551X=P80= 15798.8511

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

𝑦=80 π‘₯=𝑃80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

b= (π‘βˆ‘β–’ βˆ’βˆ‘γ€–π‘‹π‘Œβ–’ βˆ‘β–’γ€– 〗〗𝑋 π‘Œ )/( βˆ‘β–’γ€– 〗𝑁 𝑋 ^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚ 2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

log 〖𝑦 =π‘Ž+𝑏 π‘™π‘œπ‘”π‘₯〗𝑦=80 π‘₯=𝐹80log 80= a+b logx

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a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )a= (βˆ‘β–’π‘‹^(2 ) βˆ‘β–’ βˆ’βˆ‘β–’ βˆ‘β–’γ€–π‘Œ π‘‹π‘‹π‘Œγ€— )/( βˆ‘β–’γ€– 〗𝑁 𝑋^2βˆ’βˆ‘β–’γ€–(𝑋) γ€—Μ‚2 )

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