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Calculating estimated values, E-24 – Casio FX-300ESPLUS User Manual

Page 25

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E-24

1N(SETUP) c3(STAT) 1(ON)

N2(STAT) 1(1-VAR)

1

= 2 = 3 = 4 = 5 =ce

1

= 2 = 3 = 2 =

A11(STAT) 4(Var) 2( o) =

A11(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) c3(STAT) 2(OFF)

1N(SETUP) 6(Fix) 3

N2(STAT) 2(A + BX)

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 + 2357.532ln

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 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.

STAT

3

STAT

FIX

4

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