EN-27
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.
1N(SETUP)c4(STAT)2(OFF)
1N(SETUP)6(Fix)3
N3(STAT)2(A+BX)
20 = 110 = 200 = 290 =ce
3150 = 7310 =8800 = 9310=
A11(STAT/DIST)5(Reg)3(r)=
A11(STAT/DIST)1(Type)4(In X)
A11(STAT/DIST)5(Reg)3(r)=
A11(STAT/DIST)5(Reg)1(A)=
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, x
1
and x
2
, in the case of quadratic
regression) also can be calculated for a value of
y in the regression
formula.
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
.)
A 160 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).
33
STAT
FIX
STAT
FIX
44
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