Sharp EL-738 EL-738 Operation Manual - Page 76

Statistical Calcula, tion Formulas - square root

Page 76 highlights

30/360 1. Adjust D1 and D2 according to the following rules: (1) If D2 and D1 are both the last day of February, change D2 to 30. (2) If D1 is the last day of February, change D1 to 30. (3) If D2 is 31 and D1 is 30 or 31, change D2 to 30. (4) If D1 is 31, change D1 to 30. 2. Calculate using the following formula: DAYS = (Y2 - Y1) × 360 + (M2 - M1) × 30 + (D2 - D1) Actual Percent change/Compound interest calculations where NEW = NEW PRC(FV), OLD = OLD PRC(PV), %CH = %(I/Y), PD = PERIODS(N) Error %CH ≤ -100 NEW × OLD ≤ 0 Cost/Sell/Margin/Markup calculations where MAR = MARGIN, MU = MARK UP Breakeven calculations 75 Statistical Calculation Formulas Type Linear Quadratic Exponential Logarithmic Power Inverse Regression formula y = a + bx y = a + bx + cx2 y = a • ebx y = a + b • Inx y = a • xb y = a + b 1 x x = Σx n sx = Σx2 - nx2 n - 1 σx = Σx2 - nx2 n Σx = x1 + x2 + ··· + xn Σx2 = x12 + x22 + ··· + xn2 y = Σy n sy = Σy2 - ny2 n - 1 σy = Σy2 - ny2 n Σy = y1 + y2 + ··· + yn Σy2 = y12 + y22 + ··· + yn2 Σxy = x1y1 + x2y2 + ··· + xnyn An error will occur in a statistical calculation if: • The absolute value of an intermediate or calculation result is equal to or greater than 1 × 10100. • The denominator is zero. • An attempt is made to find the square root of a negative number. • No solution exists for a qua- dratic regression calculation.

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75
30/360
1. Adjust D1 and D2 according to the fol-
lowing rules:
(1) If D2 and D1 are both the last day of
February, change D2 to 30.
(2) If D1 is the last day of February,
change D1 to 30.
(3) If D2 is 31 and D1 is 30 or 31, change
D2 to 30.
(4) If D1 is 31, change D1 to 30.
2. Calculate using the following formula:
DAYS = (Y2 – Y1)
×
360 + (M2 – M1)
×
30 + (D2 – D1)
Actual
Percent change/Compound
interest calculations
where NEW = NEW PRC(FV), OLD = OLD
PRC(PV), %CH = %(I/Y), PD = PERIODS(N)
Error
%CH
–100
NEW
×
OLD
0
Cost/Sell/Margin/Markup
calculations
where MAR = MARGIN, MU = MARK UP
Breakeven calculations
Statistical Calcula-
tion Formulas
Type
Regression formula
Linear
y = a + bx
Quadratic
y = a + bx + cx
2
Exponential
y = a • e
bx
Logarithmic
y = a + b •
In
x
Power
y = a • x
b
Inverse
1
y = a + b
x
x
=
x
n
Σ
sx
=
x
2
– nx
2
n –
1
Σ
x
=
x
2
– nx
2
n
σ
Σ
x
=
x
1
+
x
2
+ ··· +
x
n
Σ
x
2
=
x
1
2
+
x
2
2
+ ··· +
x
n
2
Σ
y
=
y
n
Σ
sy
=
y
2
– ny
2
n –
1
Σ
y
=
y
2
– ny
2
n
Σ
σ
y
=
y
1
+
y
2
+ ··· +
y
n
Σ
y
2
=
y
1
2
+
y
2
2
+ ··· +
y
n
2
Σ
xy
=
x
1
y
1
+
x
2
y
2
+ ··· +
x
n
y
n
Σ
An error will occur in a statisti-
cal calculation if:
• The absolute value of an
intermediate or calculation
result is equal to or greater
than 1
×
10
100
.
• The denominator is zero.
• An attempt is made to find
the square root of a negative
number.
• No solution exists for a qua-
dratic regression calculation.