E-19 – Casio FX-100MS User Manual

Page 20

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E-19

Σ

x

3

,

Σ

x

2

y

,

Σ

x

4

....

11(S-SUM)ee 1 to 3 (Quadratic
Regression only)

Mean:

o

*,

p

, Population Standard Deviation:

σ

x

*,

σ

y

, Sample

Standard Deviation: s

x

*, s

y

o

,

σ

x

, s

x

............

12(S-VAR) 1 to 3

p

,

σ

y

, s

y

............

12(S-VAR)e 1 to 3

Regression Coefficients: A, B, Correlation Coefficient:

r

Regression Coefficients for Quadratic Regression: A, B, C
12(S-VAR) ee 1 to 3
Estimated Values:

m

,

n

Estimated Values for Quadratic Regression:

m

1

,

m

2

,

n

12(S-VAR) eee 1 to 2 (or 3)

m

,

m

1

,

m

2

and

n

are not variables. They are commands of the type

that take an argument immediately before them. See “Calculating
Estimated Values” for more information.

Note: While single-variable statistical calculation is selected, you can
input the functions and commands for performing normal distribution
calculation from the menu that appears when you perform the following
key operation:

13(DISTR). See “Performing Normal Distribution

Calculations” for details.

To calculate the mean (

o) and population standard deviation

(

σ

x

) for the following data: 55, 54, 51, 55, 53, 53, 54, 52

,,b(SD)
55

7 54 7 51 7 55 7 53 77 54 7 52 7

!c(S-VAR) b( o) =

53.375

!c(S-VAR)c(σ

x

)

=

1.316956719

To calculate the linear regression and logarithmic regression
correlation coefficients (

r

) 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.

NN2(REG) b(Lin) N b(Fix) d
20 , 3150

7 110 , 7310 7

200 , 8800

7 290 , 9310 7

1c(S-VAR) eed(r) =

0.923

NNc(REG) c(Log)
20 , 3150

7 110 , 7310 7

200 , 8800

7 290 , 9310 7

1c(S-VAR) eed(r) =

0.998

1c(S-VAR) eeb(A) =

−3857.984

1c(S-VAR) eec(B) =

2357.532

Logarithmic Regression Formula:

y

= –3857.984 + 2357.532ln

x

1

1

2

2

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