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BaseN Calculations

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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 a Y-intercept of the regression equation. b Slope of the regression equation. r Correlation coefficient. c Quadratic 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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E-24
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
a
Y-intercept of the regression equation.
b
Slope of the regression equation.
r
Correlation coefficient.
c
Quadratic 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