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Statistical Calculation Formulas
Type
Linear
Quadratic
Exponential
Logarithmic
Power
Inverse
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
• 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.
x = Σx n
sx =
Σy
y =
n
sy =
Normal Probability Calculations
• P(t), Q(t), and R(t) will always take positive values, even
when t<0, because these functions follow the same principle
used when solving for an area.
Values for P(t), Q(t), and R(t) are given to six decimal places.
x – x
Standardization conversion formula
t
=
σx
y = a + bx
y = a + bx + cx
bx
y = a • e
y = a + b • ln x
b
y = a • x
y = a + b —
Σx
2
– nx
2
n – 1
Σy
2
– ny
2
n – 1
Regression formula
2
1
x
Σx
2
σx =
Σx = x
+ x
1
Σx
2
2
= x
+ x
1
Σy
2
σy =
Σxy = x
y
1
1
Σy = y
+ y
1
Σy
2
2
= y
+ y
1
– E-28 –
100
.
– nx
2
n
+ ··· + x
2
n
2
2
+ ··· + x
2
n
– ny
2
n
+ x
y
+ ··· + x
2
2
+ ··· + y
2
n
2
2
+ ··· + y
2
n
y
n
n
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