HP 9g Graphing manual Regression Calculation, Quad

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R(t)

The cumulative fraction of the standard normal

 

distribution that lies between t and 0. R(t) = 1 – t.

Q(t)

The cumulative fraction of the standard normal

 

distribution that is greater than t. Q(t) = 0.5– t .

Regression Calculation

There are six regression options on the REG menu:

LIN

Linear Regression

y = a + b x

LOG

Logarithmic Regression

y = a + b lnx

e ^

Exponential Regression

y = a • e bx

PWR

Power Regression

y = a • x b

INV

Inverse Regression

y = a +

QUAD

Quadratic Regression

y = a + b x + c x 2

See Example 47~48.

1.Select a regression option on the REG menu and press [] .

2.Press [ DATA ], select DATA-INPUT from the menu and press [].

3.Enter an x value and press [ ].

4.Enter the corresponding y value and press [ ].

5.To enter more data, repeat from step 3.

6.Press [ 2nd ] [ STATVAR ].

7.Press [ ] [ ] to scroll through the results until you find the regression variables you are interested in (see table below).

8.To predict a value for x (or y) given a value for y (or x), select the x ’

(or y ’) variable, press [] , enter the given value, and press [] again.

Variable Meaning

aY-intercept of the regression equation.

bSlope of the regression equation.

rCorrelation coefficient.

cQuadratic regression coefficient.

x ’

Predicted x value given a, b, and y values.

y ’

Predicted y value given a, b, and x values.

9.To draw the regression graph, press [ Graph ] on the STATVAR menu. To return to the STATVAR menu, press [ 2nd ] [ STATVAR ].

Chapter 7 : BaseN Calculations

E-24

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Contents Hp 9g Graphing Calculator Contents Other Functions x-1, , , ,x 2, x Statistical CalculationsProgramming Power Supply Contrast AdjustmentDisplay Features Changing Modes Selecting an Item from a MenuKey Labels Using the 2nd and Alpha keys CursorInserting and Deleting Characters Recalling Previous Inputs and Results MemoryOrder of Operations Accuracy and Capacity RandiDMS Error Conditions StatArithmetic Calculation Display FormatParentheses Calculations Percentage CalculationsRepeat Calculations Answer FunctionLogarithm and Antilogarithm Fraction CalculationConverting Angular Units Trigonometric and Inverse Trigonometric functions Hyperbolic and Inverse Hyperbolic functionsCoordinate Transformations Mathematical FunctionsUnit Conversion Physics Constants Multi-statement functions Built-in Function GraphsUser-generated Graphs Graph ↔ Text Display and Clearing a Graph Zoom FunctionSuperimposing Graphs Trace FunctionScrolling Graphs Plot and Line FunctionSingle-Variable and Two-Variable Statistics Process Capability Correcting Statistical Data Probability Distribution 1-Var DataRegression Calculation QuadNegative Expressions Basic Arithmetic Operations for BasesLogical Operation Before Using the Program Area Program Control InstructionsInput memory variable END Relational Operators Creating a New ProgramExecuting a Program Using the Graph Function in Programs Display Result CommandDebugging a Program Deleting a ProgramProgram Examples × 5 + 56 7 74 8 × 7 = × 5 M+ MRC × 7 2nd M MRC MRC CL / ESC Example Prog 1 CL / ESC + 10 × 8 2 = 12369 × 7532 × 2nd SCI / ENG 20 2nd ENG SYM + 0.15 2nd ENG SYM 55 2nd % 2nd ANS B/c 2 a b/c 2nd a b/c d/e 2nd 2nd DMS Cosh1.5+2 = 2nd HYP cos Sinh -17 = 2nd HYP 2nd sin 2nd R P Alpha Page Page Page 26 7 ! 7 4 ! = Math Math Math Math 27 7 ! 7 4 ! × 4 = 2nd 30 7 4 = × 2nd Const Graph 2nd e Example Range Graph Alpha X 2nd x 3 + Alpha X x 2 Graph Alpha X + Graph cos Trace 2nd X Y Page Example 2nd Statvar Graph Example Example 2nd Statvar Example Nd Statvar Graph 2nd Statvar 573 Data 101 61 117 67 2nd Statvar Graph Nd Statvar 143 31 10 = 1F16 = 11111 2 = 37 Mode Dhbo Mode 2 dhbo Dhbo 4777 Mode 2 dhbo Dhbo 1234 + IE if Example RUN Seconds Seconds Example X 2 7 X + 5 = 0 X 1 = 2.5 , X 2 = 25 X 2 70 X + 49 = 0 X = 2 + 2 X + 5 = 0 X 1 = 1 + 2 i , X 2 = 1 2 When the message 1 AN, 2 SN appears on the display, you can = 3 , D = 2, N = 12 S N = S 12 = Seconds RUN Page Example Example RUN 486 Seconds Example Edit Dhbo 11011 = 10 C = 130 , D = 2nd RCL CL/ESC
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