Calculating Estimated Values - Casio fx-82ES PLUS User Manual

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