HP 39g hp 39g & 40g_user's manual_English_E_pdfbpia5212.pdf - Page 104

Fit models, To define your, own fit

Page 104 highlights

Fit models Eight fit models are available: Fit model Meaning Linear (Default.) Fits the data to a straight line, y = mx+b. Uses a least-squares fit. Logarithmic Exponential Power Fits to a logarithmic curve, y = m lnx + b. Fits to an exponential curve, y = bemx. Fits to a power curve, y = bxm. Quadratic Fits to a quadratic curve, y = ax2+bx+c. Needs at least three points. Cubic Fits to a cubic curve, y = ax3+bx2+cx+d. Needs at least four points. Logistic Fits to a logistic curve, y = ------------L 1 + ae(-bx) , where L is the saturation value for growth. You can store a positive real value in L, or-if L=0-let L be computed automatically. User Defined Define your own expression (in Symbolic view.) To define your own fit 1. In Numeric view, make sure is set. 2. Display the Symbolic view. 3. Highlight the Fit expression (Fit1, etc.) for the desired data set. 4. Type in an expression and press . The independent variable must be X, and the expression must not contain any unknown variables. Example: 1.5 × cos x + 0.3 × sin x . This automatically changes the Fit type (S1FIT, etc.) in the Symbolic Setup view to User Defined. 8-12 Statistics aplet

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165
  • 166
  • 167
  • 168
  • 169
  • 170
  • 171
  • 172
  • 173
  • 174
  • 175
  • 176
  • 177
  • 178
  • 179
  • 180
  • 181
  • 182
  • 183
  • 184
  • 185
  • 186
  • 187
  • 188
  • 189
  • 190
  • 191
  • 192
  • 193
  • 194
  • 195
  • 196
  • 197
  • 198
  • 199
  • 200
  • 201
  • 202
  • 203
  • 204
  • 205
  • 206
  • 207
  • 208
  • 209
  • 210
  • 211
  • 212
  • 213
  • 214
  • 215
  • 216
  • 217
  • 218
  • 219
  • 220
  • 221
  • 222
  • 223
  • 224
  • 225
  • 226
  • 227
  • 228
  • 229
  • 230
  • 231
  • 232
  • 233
  • 234
  • 235
  • 236
  • 237
  • 238
  • 239
  • 240
  • 241
  • 242
  • 243
  • 244
  • 245
  • 246
  • 247
  • 248
  • 249
  • 250
  • 251
  • 252
  • 253
  • 254
  • 255
  • 256
  • 257
  • 258
  • 259
  • 260
  • 261
  • 262
  • 263
  • 264
  • 265
  • 266
  • 267
  • 268
  • 269
  • 270
  • 271
  • 272
  • 273
  • 274
  • 275
  • 276
  • 277
  • 278
  • 279
  • 280
  • 281
  • 282
  • 283
  • 284
  • 285
  • 286
  • 287
  • 288

8-12
Statistics aplet
Fit models
Eight fit models are available:
To define your
own fit
1.
In Numeric view, make sure
is set.
2.
Display the Symbolic view.
3.
Highlight the Fit expression (
Fit1
, etc.) for the desired
data set.
4.
Type in an expression and press
>(17(5@
.
The independent variable must be
X
, and the expression
must not contain any unknown variables.
Example:
.
This automatically changes the Fit type (
S1FIT
, etc.) in the
Symbolic Setup view to
User Defined
.
Fit model
Meaning
Linear
(Default.) Fits the data to a straight
line,
y = mx+b.
Uses a least-squares
fit.
Logarithmic
Fits to a logarithmic curve,
y = m
ln
x + b.
Exponential
Fits to an exponential curve,
y = be
mx
.
Power
Fits to a power curve,
y = bx
m
.
Quadratic
Fits to a quadratic curve,
y = ax
2
+bx+c.
Needs at least three
points.
Cubic
Fits to a cubic curve,
y = ax
3
+bx
2
+cx+d.
Needs at least
four points.
Logistic
Fits to a logistic curve,
,
where
L
is the saturation value for
growth. You can store a positive real
value in L, or—if L=0—let L be
computed automatically.
User
Defined
Define your own expression (in
Symbolic view.)
y
L
1
ae
bx
(
29
+
--------------------------
=
1.5
x
cos
×
0.3
x
sin
×
+