I Logarithmic regression
Formula:
y = A + 8°Inx
' Input data items are the logarithm of x (lnxl. and y which is the same as in linear
regression.
* Operation for calculating and correcting regression coefficients are basically the same
as in linear regression. Operate the sequence x @to obtain estimator? and y ENE]
[Zlfor estimator f. Note that £lnx.~2 ilnxl' . and Elnx°y are obtained instead of
Ex, 2.1:a , and Exy respectively.
5""
inlze
50]74|103]118I
L yr' | 1.6
23.5 I 38.0 | 46.4 I 48.9 J
Find A. B, r, I? and? using the above figures as a basis.
OPERATION
READ-OUT
"L8"
29@
3.36729583
1 [36
1.6
50®23EIS
23.5
74(538
38.
103®4684
46.4
118E148l39
48.9
El —111.128397
(A)
53 34.02014743
(8)
[IE 0.994013945
(r)
(WhenxiisBOl
80E] 37.94879479
1?)
(Whenyr' 15731 73EEJEJ 224.1541318
1.?)
I Exponential regression
Formula:
y = A-e "'1
' Input data items are the logarithm of y (Iny) and x which is the same as in linear
regression.
'
'Operation for correction is basically the same as in linear regression. OperateE]
to obtain coefficient A. x
for estimator )7. and y [E] (B for
estimator 35. Note that 2: Iny. E (lny)2 . and Ex- lny are obtained instead of 2y. Ey',
and Exy.
I
5"" | xi I 6.9 | 12.9T 19.8 I 26.7 I 35.1]
ryi | 21.4 I 15.7 |
12.1 |
8.5 |
5.21
Find A. B. r, 5? and 55 using the above figures as a basis.
'
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