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Scientific 491-120080 Instructions De Fonctionnement page 6

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Logarithmic regression
y = A + B·lnx
y = A·eBx
Exponential regression
(or ln y = ln A + Bx)
Power regression
(or ln y = ln A + Blnx)
Inverse regression
y = A + B·1/x
– Quadratic regression. The formula for quadratic
regression is y = A + Bx + Cx
Example:
Carry out this quadratic regression to determine the
terms of the regression formula for the data shown.
Then use the regression formula to estimate the
values of (estimated value of y) for xi = 16 en
(estimated value of x) for yi = 20.
xi
29
1,6
50
23,5
74
38,0
103
46,4
118
48,0
In REG mode:
Regression coefficient A = 35,59856934
Regression coefficient B = 1,495939413
Regression coefficient C = -6,71629667 × 10
If xi is 16, = -13,38291067
If xi is 16, = -13,38291067
16
If yi is 20,
1
= 47,14556728
20
If yi is 20,
2
= 175,5872106
20
– Precautions to note when inputting data.
Pressing
(DT)
(DT) will input the same
data value twice. Pressing
input the same data value twice.
6 | Instructions for use – Scientific calculator
Example: Om de data "20 en 30" vijf keer in te
voeren: gebruik de volende toetsencombinatie:
y = A·xB
The above can be carried out in any order. The
precautions for editing the data input for standard
.
deviation also apply for regression calculations.
2
Do no save data for the variables A through F, M,
X, or Y when carrying out statistical calculations.
These variables are used for temparary memory
in statistical calculations, meaning that any data
assigned to these variables can be replaced with
other data during statistical calculations. By
switching to REG mode and selecting a regression
type (Lin, Log, Exp, Pwr, Inv, Quad) the variables A
through F, M, X, and Y are erased. These variables are
also erased if you switch from one regression type to
yi
another within the REG mode.
TECHNICAL INFORMATION
– Priority sequence of operations. Calculation
operations are carried out in the following order:
Coordinate conversion: Pol(x,y), Rec(r, θ).
1
2
Type A functions. For these functions the
(Quad)
function key is pressed when the value is input.
,
3
,
,
1
,
Conversions of the angle unit (
3
Powers and roots: (x
4
Abbreviated multiplication type for π, e (base
5
of the manual logarithm), memory symbol, or
variable symbol: 2π, 3e, 5A, πA, etc.
6
Type B functions. For these functions the value
is input when the function key is pressed.
Function buttons include: ,
sin, cos, tan, sin
-3
sinh
-1
, cosh
7
Abbreviated multiplication type for Type B
functions: 2 3 Alog 2, etc.
8
Permutations and combinations: nPr, nCr.
9
×, ÷
+, –
10
Operations of the same priority are carried out
from right to left:
ln 120  e
e
x
Other operations are carried out from left to
right. Operations in parentheses are carried out
first. The negative sign (–) is treated as a Type
B function, so that particular care is given if the
( ; ) will also
calculation contains a Type A function with high
priority or power or root operations.
( ; )
2
,
-1
, !,
2
,
).
), ^(x
),
y
y
, log, ln, ex, 10
-1
, cos
-1
, tan
-1
, sinh, cosh, tanh,
-1
, tanh
-1
and (–).
{ln( 120)}.
x
(–2)
= 16
4
Example:
–2
4
= –16
(DT)
– Stacks. This calculator uses memory areas
(stacks) to temporarily store values (numerical
stacks) and commands (command stacks)
independent of their priority sequence during the
calculation.The numerical stack has 10 levels and
the command stack has 24 levels. A stack ERROR
occurs if you attempt a calculation so complicated
it exceeds the capacity of one of these stacks.
Example:
2 × ((3 + 4 × (5 + 4) ÷ 3) ÷ 5) + 8 =
1
2
3
4
1
2
4
5 6
3
Numerieke stapel
1
2
3
2
4
3
4
5
4
5
6
3
5
7
The calculations are carried out according to the
priority sequence of operations. The commands
and values are erased from the stack when the
calculation is complete.
x
,
5
6
7
7
Commandostapel
×
1
(
2
(
3
4
+
×
5
6
(
+
7

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