Linear regression
The Linear regression formula is in relation to two variables:
y = A + Bx
Example:
By the following investment and yield table, calculate the
linear regression (regression coefficient A, regression coefficient B) of
capital investment verse yield, the correlation coefficient, the minimum
value of investment, the maximum value of yield (%), and the yield
percentage at 45 thousand unit of investment, and the investment unit
at 180% yield.
Investment (thousand unit)
Yield (%)
20
120
30
126
40
130
50
136
60
141
Correlation coefficient r
r
Regression estimated value x
x
Regression estimated value y
y
Summation of all x
3
values
x
3
Summation of all x
2
y pairs
x
2
y
Summation of all x
4
values
x
4
Regression coefficient C
C
Regression estimated value x
1
x
1
Regression estimated value x
2
x
2
Regression estimated value y
y
For non-quadratic regression
For Quadratic regression only
.
0
Stat Clear
.
5
=
n
8
.
9
0
1
A
2
5
.
0
B
r
0.998523984
Operation
Display (Lower)
Display (Upper)
(Lin Regression)
(Clear Stat. memory)
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