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Results:
Mean: 3, Population Standard Deviation: 1.154700538
Example 3:
To calculate the linear regression and logarithmic regression
correlation coefficients for the following paired-variable data and determine
the regression formula for the strongest correlation: (x, y) = (20, 3150),
(110, 7310), (200, 8800), (290, 9310). Specify Fix 3 (three decimal places)
for results.
fx-82ES PLUS/fx-85ES PLUS/fx-350ES PLUS:
(SETUP)
fx-95ES PLUS:
20
3150
Results:
Linear Regression Correlation Coefficient: 0.923
Logarithmic Regression Correlation Coefficient: 0.998
Logarithmic Regression Formula: y = -3857.984 + 2357.532lnx
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
regression) also can be calculated for a value of y in the regression
formula.
Example 4:
To determine the estimate value for x when y = -130 in the
regression formula produced by logarithmic regression of the data in
Example 3. Specify Fix 3 for the result. (Perform the following operation
after completing the operations in Example 3.)
130
(STAT)
(SETUP)
(SETUP)
(STAT)
110
200
290
7310
8800
(STAT)
(Reg)
(STAT)
(Type)
(STAT)
(Reg)
(STAT)
(Reg)
(STAT)
(Reg)
(STAT)
(Reg)
43
(OFF)
(STAT)
(OFF)
(Fix)
(A+BX)
9310
(r)
(ln X)
(r)
(A)
(B)
and x
, in the case of quadratic
1
2
(x ˆ )
0.923
0.998
-3857.984
2357.532
4.861
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Do you have a question about the fx-82ES PLUS and is the answer not in the manual?
Questions and answers
How to calculate %RSD and linearity
To calculate %RSD (Relative Standard Deviation) and linearity using the Casio fx-82ES PLUS:
1. %RSD Calculation:
- Enter statistical mode: Press `(MODE)`, then select `2: STAT`.
- Choose `1-VAR` (one-variable statistics).
- Input your data values: Enter each value followed by `(=)`.
- Calculate the mean `(x̄)`: Press `(STAT) → (Var) → (x̄)`.
- Calculate population standard deviation `(σ)`: Press `(STAT) → (Var) → (σ)`.
- Compute %RSD manually: %RSD = (σ / x̄) × 100.
2. Linearity Calculation:
- Enter statistical mode: Press `(MODE)`, then select `2: STAT`.
- Choose `A+BX` (linear regression).
- Enter paired `(x, y)` data: Input `x` values followed by `(=)`, then `y` values followed by `(=)`.
- Compute the correlation coefficient `(r)`: Press `(STAT) → (Reg) → (r)`.
- A correlation coefficient close to 1 or -1 indicates strong linearity.
The calculator does not directly compute %RSD, so you must perform the division and multiplication manually.
This answer is automatically generated