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.)

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.

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: (STAT)(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).

(SETUP)A(STAT)(ON)

(SETUP)(Fix)(STAT)(1-VAR)

0 1 2 3 4 5 6 7 9  STAT FIX 10AC1212223

4 2 1 

STATFIX

3 (STAT)(Distr)(t)

E-25