Calculating estimated values, Performing normal distribution calculations, E-32 – Casio fx-115ES PLUS User Manual
Page 33
E-32
A11(STAT/DIST)5(Reg)2(B)=
Results: Linear Regression Correlation Coefficient: 0.923
Logarithmic Regression Correlation Coefficient: 0.998
Logarithmic Regression Formula:
y
= –3857.984 + 2357.532ln
x
Calculating Estimated Values
Based on the regression formula obtained by paired-variable statistical
calculation, the estimated value of
y
can be calculated for a given
x
-value.
The corresponding
x
-value (two values,
x
1
and
x
2
, in the case of quadratic
regression) also can be calculated for a value of
y
in the regression
formula.
To determine the estimate value for
y
when
x
= 160 in the
regression formula produced by logarithmic regression of the data
in
3
. Specify Fix 3 for the result. (Perform the following operation
after completing the operations in
3
.)
A 160 11(STAT/DIST)5(Reg)5(n)=
Result: 8106.898
Important: Regression coefficient, correlation coefficient, and estimated
value calculations can take considerable time when there are a large number
of data items.
Performing Normal Distribution Calculations
While single-variable statistical calculation is selected, you can perform
normal distribution calculation using the functions shown below from
the menu that appears when you perform the following key operation:
11(STAT/DIST)5(Distr).
P, Q, R: These functions take the argument
t
and determine a probability of
standard normal distribution as illustrated below.
'
t
:
This function is preceded by the argument X, and determines the
normalized variate
.
For the single variable data {
x
n
; freq
n
} = {0;1, 1;2, 2;1, 3;2, 4;2, 5;2,
6;3, 7;4, 9;2, 10;1}, to determine the normalized variate (
'
t
) when
x
= 3, and P(
t
) at that point up to three decimal places (Fix 3).
1N(SETUP)c4(STAT)1(ON)
1N(SETUP)6(Fix)3N3(STAT)1(1-VAR)
0
= 1 = 2 = 3 = 4 = 5 = 6 = 7 = 9 =
10
=ce1=2=1=2=2=2=3=
4
= 2 = 1 =
4
4
P (
t
)
Q (
t
)
R (
t
)
0
t
0
t
0
t
P (
t
)
Q (
t
)
R (
t
)
0
t
0
t
0
t
5
5
STAT
FIX
STAT
FIX