Sharp EL-5160S - Normal Probability Calculations; Statistical Calculation Formulas

E-47
Statistical Calculation Formulas
Type Regression formula
Linear
y = a + bx
Quadratic
y = a + bx + cx
2
Euler exponential
y = a ⋅ e
b
x
Logarithmic
y = a + b ⋅ ln x
Power
y = a ⋅ x
b
Inverse
y = a + b
1
⎯
x
General exponential
y = a ⋅ b
x
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.
x
–
=
Σ
x
⎯
n
σx
=
Σ
x
2
−
nx
–
2
⎯
n
sx
=
Σ
x
2
−
nx
–
2
⎯
n
−
1
Σ
x
=
x
1
+
x
2
+
…
+
x
n
Σ
x
2
=
x
1
2
+
x
2
2
+
…
+
x
n
2
y
–
=
Σ
y
⎯
n
σy
=
Σ
y
2
−
ny
–
2
⎯
n
sy =
Σ
y
2
−
ny
–
2
⎯
n
−
1
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
Normal Probability Calculations
In STAT mode, the three probability density functions
can be accessed under the MATH menu, with a random
number used as a normal distribution variable.