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Summation: Σx*, Σx
2
*, Σy, Σy
2
, Σxy, Σx
3
, Σx
2
y, Σx
4
(Summation) to
Number of Items: n* / Mean: 𝑥
−
*, 𝑦
−
/ Population Variance: σ
2
x
*, σ
2
y
/
Population Standard Deviation: σ
x
*, σ
y
/ Sample Variance: s
2
x
*, s
2
y
/
Sample Standard Deviation: s
x
*, s
y
(Variable) to , to
Minimum Value: min(x)*, min(y) / Maximum Value: max(x)*, max(y)
When the single-variable statistical calculation is selected:
(Min/Max) ,
When a paired-variable statistical calculation is selected:
(Min/Max) to
First Quartile: Q
1
* / Median: Med* / Third Quartile: Q
3
* (For single-variable
statistical calculations only)
(Min/Max) to
Regression Coefficients: a, b / Correlation Coefficient: r / Estimated
Values: 𝑥
, 𝑦
(Regression) to
Regression Coefficients for Quadratic Regression: a, b, c / Estimated
Values: 𝑥
1
, 𝑥
2
, 𝑦
(Regression) to
• 𝑥
, 𝑥
1
, 𝑥
2
and 𝑦 are commands of the type that take an argument
immediately before them.
Ex 2: To input the single-variable data x = {1, 2, 2, 3, 3, 3, 4, 4, 5}, using the
Freq column to specify the number of repeats for each items {x
n
; freq
n
} =
{1;1, 2;2, 3;3, 4;2, 5;1}, and calculate the mean.
(SETUP)(Statistics)(On)
(Select Type)(1-Variable)
12345
1232
(Variable)(𝑥
−
)
3
Ex 3: To calculate the logarithmic regression correlation coefficients for the
following paired-variable data and determine the regression formula: (x, y) =
(20, 3150), (110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three
decimal places) for results.
(SETUP)(Statistics)(Off)
(SETUP)(Number Format)(Fix)
(Select Type)(y=a+b･ln(x))
20110200290
3150731088009310
(Regression)(r)
0.998
(Regression)(a)
-3857.984
(Regression)(b)
2357.532
Calculating Estimated Values
Based on the regression formula obtained by paired-variable statistical
calculation, the estimated value of y can be calculated for a given x-value.
The corresponding x-value (two values, x
1
and x
2
, in the case of quadratic
regression) also can be calculated for a value of y in the regression formula.
22
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