Technical information

5
118
48.0
Perform quadratic regression to determine the regression formula terms for
the data nearby. Next, use the regression formula to estimate the values for
y
ˆ
(estimated value of y) for xi=16 and
x
ˆ
(estimated value of x) for yi=20
In the REG Mode:
MODE 3 ► 3 （Quad）
SHIFT CLR 1 （Scl） = (Stat clear)
29 , 1.6 DT 50 , 23.5 DT 74 , 38.0 DT
103 , 46.4 DT 118 , 48.0 DT
Regression Coefficient A= -35.59856934
SHIFT S-VAR ► ► 1 =
Regression Coefficient B=1.495939413
SHIFT S-VAR ► ► 2 =
Regression Coefficient C= -6.71629667×10
-3
SHIFT S-VAR ► ► 3 =
y
ˆ
when xi is 16 = -13.38291067
16 SHIFT S-VAR ► ► ► 3 =
x
ˆ
1 when yi is 20 =47.14556728
20 SHIFT S-VAR ► ► ► 1 =
x
ˆ
2 when yi is 20 =175.5872105
20 SHIFT S-VAR ► ► ► 2 =
Data Input Precautions
● DT DT inputs the same data twice.
● You can also input multiple entries of the same data using SHIFT ; . To input
the data “20 and 30” five times, press 20 , 30 SHIFT ; 5 DT .
● The above results can be obtained in any order, and not necessarily that
shown above.
● Precautions when editing data input for standard deviation also apply for
regression calculations.
Technical Information
■ When you have a problem………
If calculation results are not what you expect or if an error occurs, perform the
following steps.
1. Press SHIFT CLR 2 (Mode) = to initialize all modes and settings.
2. Check the formula you are working with to confirm it is correct.
3. Enter the correct mode and try performing the calculation again.
If the above steps do not correct the problem, press the ON key. The calculator
performs a self-check operation and deletes all data stored in memory if any
abnormality is detected. Make sure you always keep written copies of all
important data.
■ Error Messages
The calculator is locked up while an error message is on the display. Press CA
to clear the error, or press ◄ or ► to display the calculation and correct the
problem. See“Error Locator” for details.
■ Math ERROR
● Causes
● Calculation result is outside the allowable calculation range.
● An attempt to perform a function calculation using a value that exceeds the
allowable input range.
● An attempt to perform an illogical operation (divided by zero, etc.)
● Action
● Check your input values and make sure they are all within the allowable
ranges. Pay special attention to values in any memory areas you are using.
■ Stack ERROR
● Causes
● The capacity of the numeric stack or operator stack is exceeded.
● Action
● Simplify the calculation. The numeric stack has 10 levels and the operator
stack has 24 levels.
● Divide your calculation into two or more separate parts.
■ Syntax ERROR
● Cause
● An attempt to perform an illegal mathematical operation.
● Action
● Press ◄ or ► to display the calculation with the cursor located at the
location of the error and make required corrections.
■ Order of Operations
Calculations are performed in the following order of precedence.
1 Coordinate transformation: Pol (x , y), Rec (r , θ)
② Type A functions:
With these functions, the value is entered and then the function key is
pressed.
x
3
, x
2
, x
-1
, x! , ° ′ ″
x , x1 , x2 ,
y
ˆ
Angle unit conversions
③ Powers and roots: ^（x
y
）,
x
√
④ a
b
/c
⑤ Abbreviated multiplication format in front of π, e (natural logarithm base),
memory name, or variable name: 2π, 5A,π A etc.
⑥ Type B functions:
With these functions, the function key is pressed and then the value is
entered.
√，
3
√，log, ln, e
x
, 10
x
, sin, cos, tan, sin
-1
, cos
-1
, tan
-1
, sinh, cosh, tanh,
sinh
-1
, cosh
-1
, tanh
-1
, (-)
⑦ Abbreviated multiplication format in front of Type B functions: 2√3, Alog2 etc.
⑧ Permutation and combination: nPr, nCr
⑨ ×, ÷
⑩ +, -
● Operations of the same precedence are performed from right to left. e
x
ln
120
→e
x
{ln（√120）}
● Other operations are performed from left to right.
● Operations enclosed in parentheses are performed first.
■ Stacks
This calculator uses memory areas, called “stacks,” to temporarily store values
(numeric stack) and commands (command stack) according to their precedence
during calculations. The numeric stack has 10 levels and the command stack has 24
levels. A stack error (Stack ERROR) occurs whenever you try to perform a
calculation that is so complex that the capacity of a stack is exceeded.
● Example:
2 ×( ( 3 + 4 × （ 5 + 4 ） ÷ 3 ）÷ 5 ）+ 8 =
1 ② ③ ④ ⑤
1 2 3 4 5 6 7
Numeric Stack Command Stack
1
2
1
×
②
3
2
（
③
4
3
（
④
5
4
+
⑤
4
5
×
┆
6
（
7
+
┆
● Calculations are performed in sequence according to “Order of Operations”.
Commands and values are deleted from the stack as the calculation is
performed.
■ Input Ranges
Internal digits: 12
Accuracy*: As a rule, accuracy is ±1 at the 10th digit.
Functions
Input Range
sinx
DEG
0<|x|<10×10
11
RAD
0<|x|<1.745329252×10
10
GRA
0<|x|<1.111111112×10
12
cosx
DEG
0<|x|<10×10
11
RAD
0<|x|<1.745329252×10
10
GRA
0<|x|<1.111111112×10
12
tanx
DEG
Same as sinx, except when |x|=(2n-1)×90
RAD
Same as sinx, except when |x|=(2n-1)×π/2
GRA
Same as sinx, except when |x|=(2n-1)×100
sin
-1
x
0≦|x|≦1
cos
-1
x
tan
-1
x
0≦|x|≦9.999999999×10
99
sinhx
0≦|x|≦230.2585092
coshx
sinh
-1
x
0≦|x|≦4.999999999×10
99
cosh
-1
x
tanhx
0≦|x|≦9.999999999×10
99
tanh
-1
x
0≦|x|≦9.999999999×10
-1
Log x/lnx
0< x
10
x
-9.999999999×10
99
≦x≦99.99999999
e
x
-9.999999999×10
99
≦x≦230.2585092
x
0 ≦ x < 1×10
100
x
2
|x|<1×10
50
1/x
|x|<1×10
100
x≠0
3
x
|x|<1×10
100
x!
0 ≦ x ≦ 69 (x is an integer)
nPr
0 ≦ n < 10×10
99
, r ≦ n (n , r are integers)
1 ≦ { n ! /( n - r ) ! } ≦ 9.999999999×10
99
nCr
0 ≦ n < 10×10
99
, r ≦ n (n , r are integers)
1 ≦ { n ! /( n - r ) ! } ≦ 9.999999999×10
99
Pol (x, y)
|x| , |y| ≦ 9.999999999×10
99
(x
2
+ y
2
) ≦ 9.999999999×10
99
Rec ( r , θ)
0 ≦ r ≦ 9.999999999×10
99
θ: Same as sinx
° ′ ″
←
° ′ ″
|a| , b , c < 1×10
100
0 ≦ b , c
|x| < 1×10
100
Decimal ↔ Sexagesimal Conversions
0°0°0°≦ |x| ≦ 999999°59°59°
REG D
n=
5.
REG D
A
- 35.59856934
REG D
B
1.495939413
REG D
C
-6.71629667
×10
-03
REG D
16
y
ˆ
- 13.38291067
REG D
20
x
ˆ
1
47.14556728
REG D
20
x
ˆ
2
175.5872105