Casio FX-180PA Manual page 32

■ Exponential regression
Formula: y =A•e"'`
' Input data items are the logarithm of y (my), and x which is the same as in linear regression.
• Operation for correction is basically the same as in linear regression. Operate ® Q
to obtain coefficient A, x ® I ( for estimator y, and y E
® for estimator 2. Note
that
lny, E(Iny) Z, and Ex•Iny are obtained instead of Ey, Ey 2, and Exy.
Ex.)
xi
6.9
12.9 19.8
26.7
35.1
Vi
21.4 15.7 12.1
8.5 5.2
Find A, B, r, 2 and
9
using the above figures as a basis.
0609® 6.9
21 p4® lIE! 3.063390922
1209®15071n ~ 2.753660712
1908®12Q1® ~ 2.493205453
261]7®8DJ51n ~
2.1400 66 164
35EJ1 ®502 In ~
1.648658626
sxm ❑p ~ ®
30.49758743
(A)
— 0.049203708
(B)
— 0.997247351
(r)
(When xi is 16) 16®®®
(When yi is 20) 20 In
13.87915739
(Y)
8.574868054
(2)
■ Power regression
Formula: y =A•x e
Input data items are Inx and Iny.
Operation for correction is basically the same as in linear regression. Operate
to obtain coefficient A,
x(Ø®
® for estimator
9,
and y E1J for estimator
2. Note that Elnx, E(Inx) . Elny, E(Iny)Z, and Elnx•Iny are obtained instead of Ex, Ex2 ,
Ey , r ye and Exy respectively.
~
l~
Ex.)
xi
28 30 33 35 38
yr
2410 3033
3895
4491 5717
•31•