Logistic-c/(1+aöe-bx), Sinreg-a sin(bx+c)+d – Texas Instruments TI-84 User Manual

Page 314

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Chapter 12: Statistics

311

PwrReg

(power regression) fits the model equation y=ax

b

to the data using a least-

squares fit and transformed values ln(x) and ln(y). It displays values for

a

and

b

; when

DiagnosticOn

is set, it also displays values for

r

2

and

r

.

PwrReg

[

Xlistname,Ylistname,freqlist,regequ

]

Logistic—

Logistic—

Logistic—

Logistic—c/

c/

c/

c/(1+a

(1+a

(1+a

(1+a

e

ee

e

-bx

))))

Logistic

fits the model equation y=c/(1+a

…e

L

bx

) to the data using an iterative least-squares

fit. It displays values for

a

,

b

, and

c

.

Logistic

[

Xlistname,Ylistname,freqlist,regequ

]

SinReg—a sin(bx+c)+d

SinReg—a sin(bx+c)+d

SinReg—a sin(bx+c)+d

SinReg—a sin(bx+c)+d

SinReg

(sinusoidal regression) fits the model equation y=a sin(bx+c)+d to the data using

an iterative least-squares fit. It displays values for

a

,

b

,

c

, and

d

. At least four data points

are required. At least two data points per cycle are required in order to avoid aliased
frequency estimates.

SinReg

[

iterations

,

Xlistname

,

Ylistname

,

period

,

regequ

]

iterations

is the maximum number of times the algorithm will iterate to find a solution. The

value for

iterations

can be an integer

‚ 1 and  16; if not specified, the default is 3. The

algorithm may find a solution before

iterations

is reached. Typically, larger values for

iterations

result in longer execution times and better accuracy for

SinReg

, and vice versa.

A

period

guess is optional. If you do not specify

period

, the difference between time values

in

Xlistname

must be equal and the time values must be ordered in ascending sequential

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