E-19
A1
1
(STAT)
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
1
1
(STAT)
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:
1
1
(STAT)
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)
c
4
(STAT)
1
(ON)
1N
(SETUP)
6
(Fix)
3
N
2
(STAT)
1
(1-VAR)
0
=
1
=
2
=
3
=
4
=
5
=
6
=
7
=
9
=
10
=
ce
1
=
2
=
1
=
2
=
2
=
2
=
3
=
4
=
2
=
1
=
A
3
1
1
(STAT)
5
(Distr)
4
(
'
t
)
=
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
STAT
FIX
STAT
FIX
