(STAT)(1-VAR) 1 2 3 4 5 AC 1 2 3 2 

STAT

(STAT)(Var)(M) (STAT)(Var)(Σx)

Results: Mean: 3 Population Standard Deviation: 1.154700538

3 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.

fx-82/85/350ES PLUS: (SETUP)A(STAT)(OFF)

fx-95ES PLUS: (SETUP)A(STAT)(OFF)

(SETUP)(Fix)

(STAT)(A + BX)

STAT

FIX

 

 

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 + 2357.532lnx

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.)

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.

E-19

C