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Appendix
Function Calculation range Notes
x
_
sx
σx
r
b
a
y’
x’
Same for y
_
, sy and
σy
Regression calcula-
tions excluding 2nd,
3rd, and 4th degree
polynomials.
Same as above.
Same as b for other.
n ≠ 0
n > 1
|Σx| < 1
× 10
50
0 ≤
(Σx)
2
n
Σx
2
–
n
–
1
< 1 × 10
100
n > 0
|Σx| < 1 × 10
50
0 ≤
(Σx)
2
n
Σx
2
–
n
< 1 × 10
100
n > 0
|Σx| < 1 × 10
50
|Σy| < 1 × 10
50
0 < (Σx
2
–
(Σx)
2
n
) (Σy
2
–
(Σy)
2
n
) <1 × 10
100
|Σxy –
ΣxΣy
n
| < 1 × 10
100
< 1 × 10
100
n > 0
|Σx| < 1
× 10
50
|(Σx) (Σy)| < 1 × 10
100
0 < |Σx
2
–
(Σx)
2
n
| < 1 × 10
100
|Σxy –
ΣxΣy
n
| < 1 × 10
100
< 1 × 10
100
|bx
_
| < 1 × 10
100
|y
_
– bx
_
| < 1 × 10
100
|bx| < 1 × 10
100
|a + bx| < 1 × 10
100
|y – a| < 1 × 10
100
|
y – a
b
| < 1 × 10
100