Sharp EL-5160S, Operation Manual

Page: 153 / 188

E-42
Quadratic regression calculation
Statistics of ① and ② , and coeffi cients
a
,
b
,
c
in
the quadratic regression formula (
y
=
a
+
b
x
+
cx
2 ).
(For quadratic regression calculations, no correlation
coeffi cient (
r
) can be obtained.) When there are two
x
´
values, each value will be displayed with “1:” or “2:”, and
stored separately in the X and Y memories.
Euler exponential regression, logarithmic
regression, power regression, inverse regression,
and general exponential regression calculations
Statistics of
①
and
②
. In addition, the estimate of
y
for
a given
x
and the estimate of
x
for a given y . (Since the
calculator converts each formula into a linear regression
formula before actual calculation takes place, it obtains all
statistics, except coeffi cients
a
and
b
, from converted data
rather than entered data.)
①
x
–
Mean of samples (
x
data)
sx Sample standard deviation (
x
data)
σ
x
Population standard deviation (
x
data)
n Number of samples
Σ
x
Sum of samples (
x
data)
Σ
x
2 Sum of squares of samples (
x
data)
②
y
–
Mean of samples (
y
data)
sy Sample standard deviation ( y data)
σ
y Population standard deviation ( y data)
Σ
y Sum of samples ( y data)
Σ
y
2
Sum of squares of samples ( y data)
Σ
xy Sum of products of samples ( x ,
y
)
r
Correlation coeffi cient
a
Coeffi cient of regression equation
b
Coeffi cient of regression equation
c
Coeffi cient of quadratic regression equation
• Use
;
and
t
to perform a variable calculation
in STAT mode.
•
U
does not function in STAT mode.