A11(STAT/DIST)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.)

A160 11(STAT/DIST)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.

Performing Normal Distribution Calculations

While single-variable statistical calculation is selected, you can perform normal distribution calculation using the functions shown below from the menu that appears when you perform the following key operation: 11(STAT/DIST)5(Distr).

P, Q, R: These functions take the argument t and determine a probability of standard normal distribution as illustrated below.

 

P (t)

 

 

Q (t)

 

R (t)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0 t

0 t

0 t

't: This function is preceded by the argument X, and determines the

normalized variate .

5

For the single variable data {xn ; freqn} = {0;1, 1;2, 2;1, 3;2, 4;2, 5;2,

6;3, 7;4, 9;2, 10;1}, to determine the normalized variate ('t) when x

 

= 3, and P(t) at that point up to three decimal places (Fix 3). 1N(SETUP)c4(STAT)1(ON)

1N(SETUP)6(Fix)3N3(STAT)1(1-VAR)

0 =1 =2 =3 =4 =5 =6 =7 =9 = STAT FIX 10=ce1=2=1=2=2=2=3=

4 =2 =1 =

E-32