Casio FX300ES Operating Guide - Page 25

Calculating Estimated Values

Page 25 highlights

1N(SETUP)c3(STAT)1(ON) N2(STAT)1(1-VAR) STAT 1 = 2 = 3 = 4 = 5 =ce 1 = 2 = 3 = 2 = A11(STAT)4(Var)2(o)= A11(STAT)4(Var)3(σx)= Results: Mean: 3 Population Standard Deviation: 1.154700538 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. 1N(SETUP)c3(STAT)2(OFF) 1N(SETUP)6(Fix)3 N2(STAT)2(A + BX) STAT FIX 20 = 110 = 200 = 290 =ce 3150 = 7310 =8800 = 9310= A11(STAT)5(Reg)3(r)= A11(STAT)1(Type)4(In X) A11(STAT)5(Reg)3(r)= A11(STAT)5(Reg)1(A)= A11(STAT)5(Reg)2(B)= 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, x1 and x2, in the case of quadratic regression) also can be calculated for a value of y in the regression formula. 4 To determine the estimate value for y when x = 160 in the regression formula produced by logarithmic regression of the data in 3. Specify Fix 3 for the result. (Perform the following operation after completing the operations in 3.) A 160 11(STAT)5(Reg)5(n)= Result: 8106.898 Important: Regression coefficient, correlation coefficient, and estimated value calculations can take considerable time when there are a large number of data items. E-24

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E-24
1N
(SETUP)
c
3
(STAT)
1
(ON)
N
2
(STAT)
1
(1-VAR)
1
=
2
=
3
=
4
=
5
=
ce
1
=
2
=
3
=
2
=
A1
1
(STAT)
4
(Var)
2
(
o
)
=
A1
1
(STAT)
4
(Var)
3
(
σ
x
)
=
Results:
Mean: 3
Population Standard Deviation: 1.154700538
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.
1N
(SETUP)
c
3
(STAT)
2
(OFF)
1N
(SETUP)
6
(Fix)
3
N
2
(STAT)
2
(A + BX)
20
=
110
=
200
=
290
=
ce
3150
=
7310
=
8800
=
9310
=
A1
1
(STAT)
5
(Reg)
3
(r)
=
A1
1
(STAT)
1
(Type)
4
(In X)
A1
1
(STAT)
5
(Reg)
3
(r)
=
A1
1
(STAT)
5
(Reg)
1
(A)
=
A1
1
(STAT)
5
(Reg)
2
(B)
=
Results:
Linear Regression Correlation Coefficient: 0.923
Logarithmic Regression Correlation Coefficient: 0.998
Logarithmic Regression Formula:
y
= –3857.984 + 2357.532ln
x
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.
To determine the estimate value for
y
when
x
= 160 in the
regression formula produced by logarithmic regression of the data
in
3
. Specify Fix 3 for the result. (Perform the following operation
after completing the operations in
3
.)
A
160
1
1
(STAT)
5
(Reg)
5
(
n
)
=
Result:
8106.898
Important:
Regression coefficient, correlation coefficient, and estimated
value calculations can take considerable time when there are a large number
of data items.
STAT
3
STAT
FIX
4