Sharp OZ-707 Operation Manual - Page 47

Two-Variable Statistical Calculations

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Printing example: n= 35 LX= 2500 1878013 MEAN(x ) = 71.42857143 s= 16.47508942 16 .23802542 tl= 35 2500 187800 t1EAN ( x ) = 71. 428571428571 428571 516.475089420958 279842 u= 16 . 238025415294 653431 (with single-precision specified) (with double-precision specified) After printing, the display will return to the single-variable submenu. Two-Variable Statistical Calculations Operations for two-variable statistical calculations are similar to . operations for single-variable statistical calculations. Read the section for the single-variable statistical calculations first. Two-variable calculations The following statistics can be determined from two-variable statistical calculations. n, Lx, Lx2,andx-: Same as for single-variable calculations sx and ox: Same as sand 0. y: Sample mean y Iy: Sum of samples y Ii: Sum of squares of samples y sy: Sample standard deviation with population parameter taken to be n-1 . - ~J:.Y' - ny , y= n-l cry: Population standard deviation of samples (y) with population parameter taken to be n. cry = ~J:.y ' -ny n ' I.xy: Sum of products of samples x and y 82 a: a= y-bx Coefficient for linear regression y = a+bx b: b=~ Sxx Coefficient for linear regression y = a+bx r: r- Sxy - ...JSxx.Syy Correlation coefficient x' : x' = y-a b Estimated value {x estimated from y} y': y' =a+bx Estimated value (y estimated from x) Note: (.~:;X)2 Sxx =Lr 2- - n Syy =J:.y 2 - ~ (J:. )2 /J. Sxy= D:y - Lx·Iy n Selecting two-variable statistical calculations After displaying the STAT menu, press the CD key to select the two-variable statistical calculations. Entering data Press the LIJ key on the two-variable submenu to display the data input prompt. Enter the x and y data as shown in the display. To enter a single pair of data values, press: data x IENTER I data y IENTER I. To enter multiple identical pairs of data values simultaneously, press: data x IENTER I data y, frequency IENTER ~ To enter a negative value, press the G key before the value. Press the IENTER I key to end data entry and display the two-variable submenu . 83

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Printing example:
n=
LX=
35
2
500
1878013
MEAN(x ) =
71.42857143
s=
16.47508942
16
.23802542
tl=
35
2500
t1EAN
( x ) =
187800
71.
428571428571
428571
516.47508942095
8
279842
u=
16 . 2
38025415294
653431
(with
single-precision
specified)
(with
double-precision
specified)
After printing, the display will return to the single-variable submenu.
Two-Variable Statistical Calculations
Operations for two-variable statistical calculations are similar to
.
operations for single-variable statistical calculations. Read the section
for the single-variable statistical calculations first.
Two-variable calculations
The following statistics can
be
determined from two-variable statistical
calculations.
2
d-
n,
Lx,
Lx
,an
x:
Same as for single-variable calculations
Same as
sand
0.
sx
and
ox:
y:
Iy:
Ii:
s
y:
cry
:
I.xy:
Sample mean
y
Sum of samples
y
Sum of squares of samples
y
Sample standard deviation with population parameter
taken to
be
n-1 .
-
~J:.Y'
-
ny ,
y=
n-l
Population standard deviation of samples
(y)
with
population parameter taken
to
be
n.
~J:.y
'
-ny
'
cry
=
n
Sum of products of samples
x
and
y
82
a:
a=
y
-b
x
b:
Coefficient for linear regression y
=
a+bx
b=~
Sxx
r:
Coefficient for linear regression
y
=
a+bx
r-
Sxy
-
...JS
xx.Syy
x'
:
Correlation coefficient
x'
=y
-a
b
Estimated value
{x
estimated from
y}
y':
y'
=a
+bx
Estimated value
(y
estimated from
x)
Note:
(.~:;
X
)
2
Sxx
=Lr
2
---
n
(
J:.
)2
Syy
=
J:.
y
2 -
~
/J.
Lx
·I
y
S
xy=
D:y -
n
Selecting two-variable statistical calculations
After displaying the STAT menu, press the
CD
key
to
select the
two-variable statistical calculations.
Entering data
Press the
LIJ
key on the two-variable submenu
to
display the data
input prompt. Enter the
x
and
y
data as shown
in
the display.
To enter a single pair of data values,
press: data
x
I
ENTER
I
data y
I
ENTER
I.
To enter multiple identical pairs of data values simultaneously,
press: data
x
I
ENTER
I
data
y,
frequency
I
ENTER
~
To enter a negative value,
press the
G
key before the value.
Press the
I
ENTER
I
key to end data entry and display the two-variable
submenu.
83