– E-24 –
Statistical Calculation Formulas
Type
Regression formula
Linear
y
=
a
+
bx
Exponential
y
=
a
•
e
bx
Logarithmic
y
=
a
+
b
• ln
x
Power
y
=
a
•
x
b
Inverse
y
=
a
+
b
—
Quadratic
y
=
a
+
bx
+
cx
2
In the statistical calculation formulas, an error will occur when:
• The absolute value of the intermediate result or calculation
result is equal to or greater than 1
×
10
100
.
• The denominator is zero.
• An attempt is made to take the square root of a negative
number.
• No solution exists in the quadratic regression calculation.
Σ
x
=
x
1
+
x
2
+ ··· +
x
n
Σ
x
2
=
x
1
2
+
x
2
2
+ ··· +
x
n
2
x =
Σ
x
n
Σ
xy
=
x
1
y
1
+
x
2
y
2
+ ··· +
x
n
y
n
Σ
y
=
y
1
+
y
2
+ ··· +
y
n
Σ
y
2
=
y
1
2
+
y
2
2
+ ··· +
y
n
2
y
=
Σ
y
n
σ
y
=
Σ
y
2
– ny
2
n
sy
=
Σ
y
2
– ny
2
n –
1
sx
=
Σ
x
2
– nx
2
n –
1
σ
x
=
Σ
x
2
– nx
2
n
1
x
509E_en0610.p65
04.6.10, 2:52 PM
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