Casio ClassPad 300 User Manual Page 346
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20021201
Drawing a Exponential Regression Graph (
y = a· b
x
)
Exponential regression can be used when y is proportional to the exponential function of x.
The normal exponential regression formula in this case is y = a·b
x
. If we take the natural
logarithms of both sides, we get ln(y) = ln(a) + (ln(b)) · x. Next, if we say that Y = ln(y),
A = ln(a) and B = ln(b), the formula corresponds to the linear regression formula Y = A + B·x.
u ClassPad Operation
Start the graphing operation from the Statistics application’s Graph window or List window.
From the Graph window
Tap [Calc] [abExponential Reg] [OK] [OK] ".
From the List window
Tap [SetGraph][Setting...], or G.
On the Set StatGraphs dialog box that appears, configure a StatGraph setup with the
setting shown below, and then tap [Set].
Type: abExpR
Tap y to draw the graph.
7-5-11
Graphing Paired-Variable Statistical Data
The following is the exponential regression model formula in this case.
y = a·b
x
a : regression coefficient
b : regression constant term
r : correlation coefficient
r
2
: coefficient of determination
MSe :mean square error
• MSe =
Σ
1
n – 2
i=1
n
(ln (yi) – (ln (a) + (ln (b))
.
xi))
2
20030401
- ClassPad 300 1
- FCC WARNING 2
- Declaration of Conformity 2
- Getting Ready 3
- 6. User Registration 8
- Handling Precautions 9
- Backing Up Data 10
- Contents 12
- Appendix 22
- 1 Keypad 23
- 2 Icon panel 23
- 3 Cursor key 23
- 4 Menu bar 24
- 5 Toolbar 24
- 6 Soft keyboard 24
- Getting Acquainted 26
- 1-1 General Guide 27
- General Guide 28
- Turning Power On and Off 32
- 1-3 Using the Icon Panel 33
- Built-in Applications 34
- Scroll down button 35
- Scrollbar 35
- Scroll up button 35
- Application Window 38
- Using a Dual Window Display 38
- Menu bar 39
- Using the 41
- Using Check Boxes 43
- Using Option Buttons 44
- Using the Settings Menu 45
- Toolbar 46
- List of options 46
- Tap here to toggle 46
- Status bar 47
- Break dialog box 48
- Draw is paused at the point 48
- The soft 49
- Press k 49
- To display the 2D 51
- Tap here 51
- Cutting causes the original 55
- 20030601 59
- Initially, the cursor 64
- ∫, tap b 65
- ∫, tap a 65
- 1-7 Variables and Folders 66
- Variable Types 67
- “NewFolder” 69
- Creating and Using Variables 70
- Assign key 71
- (mth) and 2D soft keyboards 71
- Variables and Folders 72
- Locking a Variable or Folder 75
- Variable Manager Overview 77
- Exiting the Variable Manager 78
- Variable Manager Views 78
- Current folder 79
- Using the Variable Manager 81
- Variable Operations 83
- Using the Main 90
- 2-1 Main Application Overview 91
- Calculation 92
- Main Application Overview 93
- Using Main Application Modes 94
- 2-2 Basic Calculations 97
- Using the e Key 98
- Calculation Error 99
- Calculation Priority Sequence 100
- Calculation Modes 101
- Basic Calculations 102
- Important! 103
- Scroll button 104
- Scroll bar 104
- Re-calculating an Expression 105
- Re-calculated 106
- 2-4 Function Calculations 108
- Function Calculations 109
- 39 = 2 Func l 3 , 9 w or 110
- ∞, const, constn) 119
- ∞ Infinity lim (1/x 119
- 2-5 List Calculations 120
- List Calculations 121
- Using a List in a Calculation 122
- Inputting Matrix Data 123
- Row Column 124
- 20021201 125
- 20030201 126
- 2-7 Using the Action Menu 129
- Example Screenshots 130
- Displaying the Action Menu 131
- Using the Action Menu 132
- Using the Calculation Submenu 136
- × ln(x) 137
- = 1 and x = 2 137
- = 1 through x =10 138
- = 1 through 138
- x < 3 139
- x < 2 and n = 1 139
- x < 5 140
- + 1 and x 142
- – 2)/(x + 1) 142
- Using the Complex Submenu 143
- Using the List-Create Submenu 145
- Using the Vector Submenu 162
- + 4y = 5, 2x – 3y = –8 167
- +1 = 3an–1 with the initial 168
- + 3 = 5x – x 169
- – 3 170
- = 3 or x > 2 171
- < 2 xor x < 3 171
- Using the Assistant Submenu 172
- Using the Interactive Menu 173
- Using the “apply” Command 176
- = f(x) 178
- z = f(x, y) 178
- Graph window, see Chapter 5 179
- Graph: @, Numeric Solver: 1) 180
- Folders” 184
- An ellipse 186
- A point and its image 187
- Using the Table Window # 188
- • This creates the table 189
- Using the Graph & Table 190
- Application 190
- Graph Editor 191
- Graph window 191
- Message box 191
- Line numbers 191
- Table window 192
- (4) Tap $ 199
- • This graphs the expression 199
- 3-2 Using the Graph Window 202
- Using the Graph Window 203
- Graph controller arrows 206
- Zooming the Graph Window 207
- Box Zoom Result 208
- 3-3 Storing Functions 212
- Specifying the Function Type 213
- Storing a Function 214
- Storing Functions 215
- Using Built-in Functions 216
- Editing Stored Functions 217
- Graphing a Stored Function 218
- Line style area 219
- Check box 219
- 3-4 Using Table & Graph 222
- Slope” check box is selected 223
- Using Table & Graph 224
- Current function type 225
- Added line 227
- The new line contains the 227
- Generating a Summary Table 230
- 3-5 Modifying a Graph 237
- Modifying a Graph 238
- Variables (Dynamic Modify) 240
- 3-6 Using the Sketch Menu 243
- Using the Sketch Menu 244
- 3-7 Using Trace 248
- Using Trace 249
- G-Solve Menu Overview 253
- Using G-Solve Menu Commands 254
- Result Screenshot 259
- Using the Conics 262
- Conics Editor window 263
- Conics Graph window 263
- Conics Application Overview 264
- Angle unit Complex mode 266
- Inputting Equations 267
- Input the equation here 269
- 4-3 Drawing a Conics Graph 270
- Drawing a Conics Graph 271
- Drawing a Circle 273
- Drawing an Ellipse 274
- Drawing a Hyperbola 275
- Drawing a General Conics 277
- Displaying the G-Solve Menu 279
- Using the 3D Graph 284
- 3D Graph Editor 285
- 3D Graph window 285
- 3D Graph Application Overview 286
- Using 3D Graph Editor Sheets 289
- 5-3 Drawing a 3D Graph 291
- 3D Graph Example 293
- Drawing a 3D Graph 294
- Rotating the Graph Manually 296
- Initializing the Graph Window 296
- Dialog Box” on page 13-3-6 297
- The message “z-Cal” on the 298
- 3D Graph window indicates a 298
- Using the Sequence 299
- Sequence Application Window 300
- Sequence Application Overview 301
- Clear Sheet 302
- Draw a connect type graph 303
- Draw a plot type graph 303
- G-Connect 303
- Input the “rSolve” function 304
- Input the “Σ” function 304
- Generating a Number Table 307
- +1 = 2an+1, a1 = 1 309
- 1 = an + 2, a1 = 1 311
- 1], =, [n,an], [an], + 311
- + 2n – 1 in the 312
- 6-4 Using LinkTrace 313
- Using the Statistics 314
- List Editor Window Status Bar 318
- 7-2 Using List Editor 319
- Using List Editor 320
- Inputting Data into a List 322
- Editing List Contents 325
- Sorting List Data 326
- Warning! 327
- Using the SetGraph Menu 328
- Tab selection buttons 329
- MarkMark Name 331
- Med-Box Plot (MedBox) 333
- Modified-Box Plot (ModBox) 334
- Broken Line Graph (Broken) 335
- Drawing a Regression Graph 337
- (7) Tap [OK] 338
- (8) Tap [OK] " 338
- [Calc] menu 339
- Drawing a Med-Med Graph 341
- • MSe = 344
- (yi – (a + b·ln (xi))) 344
- (ln (yi) – (ln (a) + b·xi )) 345
- 20030401 346
- = a·sin(b·x + c) + d) 348
- 1 : first quartile 352
- 3 : third quartile 352
- Residual Calculation 354
- Calculations 356
- Time A1 113, 116 357
- Temperature B1 357
- 139, 132 357
- Time A2 133, 131 126, 122 357
- Temperature B2 357
- 7-9 Tests 359
- 0 : assumed population mean 360
- 0 value 360
- 2-Sample Z Test 361
- 1-Prop Z Test 362
- 2-Prop Z Test 363
- 1-Sample t Test 364
- 2-Sample t Test 365
- Linear Regression t Test 367
- “Expected” 368
- 2-Sample F Test 369
- One-Way ANOVA 370
- Two-Way ANOVA 371
- 7-10 Confidence Intervals 372
- Z Interval 373
- -1 value, n value 377
- -1 > 0) 377
- 1 value, x1 378
- -1 value, n2 value 378
- 7-11 Distribution 380
- Distribution Command List 381
- Student-t Probability Density 383
- Probability Density 384
- F Distribution 385
- F Distribution Probability 386
- Distribution 387
- Poisson Probability 388
- = p(1– p) 389
- Statistical System Variables 390
- Using the Geometry 391
- Geometry Application Overview 392
- 8-2 Drawing Figures 397
- Drawing Figures 398
- Using the Construct Submenu 408
- Observe this area of the 419
- 8-3 Editing Figures 423
- Editing Figures 424
- Moving and Copying Figures 425
- Using the Measurement Box 426
- A highlighted check box 431
- Selecting the Axis Setting 432
- Grid off Grid on 433
- 8-5 Working with Animations 437
- Point A moves along arc CD 438
- Working with Animations 439
- Measurement box 443
- Applications 445
- Geometry window 447
- Copy and Paste 449
- Dynamically Linked Data 449
- File name edit box 450
- 20030301 452
- Folder Operations 453
- Using the Numeric 455
- Solver Application 455
- Input equations here 456
- Variable list 456
- Numeric Solver window 457
- Graph Editor window 457
- 9-2 Using Numeric Solver 458
- Using Numeric Solver 459
- Using the eActivity 460
- 2003020120030301 461
- Tap [Action] 463
- Do this: To do this: 463
- Insert a command (page 2-7-1) 463
- 10-2 Creating an eActivity 465
- (Includes [Save] button.) 467
- (Includes [Open] button.) 467
- (Includes [Save] and [Open] 467
- Inserting a Text Row 468
- Inserting a Calculation Row 470
- Geometry data strip 473
- Graph data strip 474
- Graph the function 475
- Inserting a Geometry Link Row 479
- Opening an Existing eActivity 481
- Expand button 482
- Current eActivity file name 483
- Working with eActivity Files 484
- Using the Presentation 485
- 6 Play - AutoPlay 488
- 7 Play - ManualPlay 488
- Screen Capture Precautions 489
- 11-2 Building a Presentation 490
- Building a Presentation 491
- This file is selected 492
- Managing Presentation Files 493
- Page scroll buttons 496
- Using Repeat Play 497
- Entering the Editing Mode 498
- Editing tool palette 499
- Editing Operations 500
- Inserted text 501
- Editing Presentation Pages 502
- Example of an arrow 503
- Sample Screenshot 506
- Captured Image Data 506
- Using the Program 508
- Program Loader Window 509
- Program Application Overview 510
- Program Editor Window 511
- 12-2 Creating a New Program 516
- Creating a New Program 517
- “CAUTION” file 519
- Running a Program 520
- Pausing Program Execution 521
- Terminating Program Execution 521
- Using Subroutines 523
- 12-3 Debugging a Program 525
- Debugging a Program 526
- 12-4 Managing Files 530
- Changing the File Type 531
- 12-5 User-defined Functions 532
- Parameter variable 533
- User-defined Functions 534
- Using This Reference 536
- Program Application Commands 537
- Program Command Reference 538
- InputFunc 540
- InputStr 540
- DispText 541
- { } 543
- Do~LpWhile 544
- For~To~(Step~)Next 545
- Goto~Lbl 545
- If~Then~ElseIf~Else~IfEnd 546
- Switch~Case~Default~SwitchEnd 549
- Application Command List 550
- DrawGraph 552
- GraphType 552
- GTSelOff 552
- Horizontal 552
- SheetActive 556
- SheetName 556
- SmryTSelOn 556
- TangentLine 557
- Vertical 557
- ViewWindow 558
- DrawSeqCon, DrawSeqPlt 561
- DrawSeqEtrCon, DrawSeqEtrPlt 561
- SeqSelOff 561
- SeqSelOn 562
- LinearReg 564
- LogisticReg 564
- MedMedLine 564
- MultiSortA 565
- MultiSortD 565
- OneVariable 565
- PowerReg 565
- QuartReg 566
- StatGraph 567
- StatGraphSel 567
- TwoVariable 567
- SetTVariable 573
- SetΣdisp 573
- Clear_a_z 573
- DelFolder 574
- GetFolder 574
- SetFolder 576
- UnlockFolder 576
- ChrToNum 576
- ExpToStr 577
- NumToChr 577
- NumToStr 577
- StrRotate 579
- StrShift 579
- CloseComPort38k 580
- GetVar38k 580
- OpenComPort38k 581
- Receive38k 581
- SendVar38k 581
- Using the Setup Menu 587
- 13-1 Setup Menu Overview 588
- 13-2 Using the Setup Menu 589
- Variable type 590
- Select the folder where 590
- Specify the variable name 590
- Setup Menu Settings 594
- Graph Format Dialog Box 595
- Special Tab 596
- 3D Format Dialog Box 597
- Presentation Dialog Box 598
- Communication Dialog Box 599
- Configuring System 600
- Settings 600
- 14-1 System Setting Overview 601
- System Setting Overview 602
- 14-2 Managing Memory Usage 603
- Managing Memory Usage 604
- Deleting Memory Usage Data 605
- Using the Reset Dialog Box 606
- Adjusting Display Contrast 608
- Power Saving Mode 609
- Auto Power Off 609
- Configuring Power Properties 610
- AZERTYQWERTY 612
- Viewing Version Information 616
- Performing Data 617
- Communication 617
- Data Communication Overview 619
- Selecting Data for Transfer 629
- Tap “Presystm” to 630
- Tap “e-Act2” 630
- Communication Standby 632
- 2 Deleting an Application 636
- 3 Power Supply 637
- Power Supply 640
- 5 Specifications 642
- Data Communication 643
- 6 Character Code Table 644
- Character Code Table 645
- 7 System Variable Table 648
- × Factor B 649
- System Variable Table 651
- 8 Command and Function Index 655
- Command and Function Index 656
- 1 Func 2-7-24 657
- 3 Func 2-7-24 657
- Statistical - Box 663
- 10 Error Message Table 664
- Error Message Table 665
- 6-2, Hon-machi 1-chome 670
- SA0306-D 670
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