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Calculating estimated values, E-23 – Casio FX-85GT PLUS User Manual

Page 24

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E-23

(SETUP)A(STAT)(ON)

(STAT)(1-VAR)

1

2 3 4 5 AC

1

2 3 2

(STAT)(Var)(M)

(STAT)(Var)(S

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.

(SETUP)A(STAT)(OFF)
(SETUP)(Fix)

(STAT)(A+BX)

20

110 200 290 AC

3150

7310 8800 9310

(STAT)(Reg)(r)

(STAT)(Type)(In X)

(STAT)(Reg)(r)

(STAT)(Reg)(A)

(STAT)(Reg)(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

.)

160 (STAT)(Reg)(L)

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.

3

3

STAT

FIX

STAT

FIX

4

4

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