Casio fx-50F n.Σxilnyi – Σxi.Σlnyi, n.Σxi2 – (Σxi)2, n = aebx, lny – lna, n.Σxilnyi – Σxi.Σlnyi, – (Σy, – Σlnx, – Σlnx, Logarithmic Regression, e Exponential Regression, a

Logarithmic Regression

Command

Calculation Formula

Regression Formula

a =

Σyi – b.Σlnxi

Constant Term a

n

n.Σ(lnx )y

– Σlnx

.Σy

i

Regression Coefficient b

b =

i i

i

n.Σ(lnxi)2 – (Σlnxi)2

n.Σ(lnx

)y

i

– Σlnx

.Σy

Correlation Coefficient r

r =

i

i

i

{n.Σ(lnx

)2 – (Σlnx )2}{n.Σy 2

– (Σy

)2}

i

i

i

i

Estimated Value m

y – a

m = e

b

Estimated Value n

n = a + blnx

e Exponential Regression

Command

Calculation Formula

Regression Formula

a = exp(

Σ

lnyi – b

.Σ

xi

)

Constant Term a

n

Regression Coefficient b

b =

n.Σxilnyi – Σxi.Σlnyi

.Σ

2

–

(Σ

)2

n

xi

xi

Correlation Coefficient r

r =

n

.Σ

xiln

y

i –

Σ

xi

.Σ

lnyi

{n

.Σ

2

–

(Σ

xi

)2

}{n

.Σ(

lnyi

)2

–

(Σ

lnyi

)2

xi

}

Estimated Value m

m=

lny – lna

b

Estimated Value n

n = aebx

ab Exponential Regression

Command

Calculation Formula

Constant Term a

a = exp(

Σ

lnyi

–nlnb

.Σ

xi )

Regression Formula

Regression Coefficient b

b = exp(

n.Σxilnyi – Σxi.Σlnyi

)

n.Σxi2 – (Σxi)2

n

.Σ

xiln

y

i –

Σ

.Σ

lnyi

Correlation Coefficient r

r =

xi

{n.Σxi2 – (Σxi)2}{n.Σ(lnyi)2 – (Σlnyi)2}

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