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1 | #!/usr/bin/perl | |
2 | use strict; | |
3 | use warnings; | |
4 | use feature 'say'; | |
5 | my $data = []; | |
6 | while (<>) { | |
7 | chomp; | |
8 | - | my ($x, $dummy1, $y, $dummy2) = split; |
8 | + | my ($x, $xe, $y, $ye) = split; |
9 | - | push @$data, [$x, $y]; |
9 | + | push @$data, [$x, $xe, $y]; |
10 | } | |
11 | - | my $a; |
11 | + | my ($a, $b, $a_err, $b_err); |
12 | - | my $b; |
12 | + | |
13 | my ($sum_w, $sum_xy, $sum_x, $sum_y, $sum_x2) = (0., 0., 0., 0, 0.); | |
14 | - | my $sum_xy = 0.; |
14 | + | |
15 | - | my $sum_x = 0.; |
15 | + | my ($x, $xe, $y) = @$d; |
16 | - | my $sum_y = 0.; |
16 | + | my $w = ($xe == 0.) ? 1 : 1 / $xe; |
17 | - | my $sum_x2 = 0.; |
17 | + | $sum_w += $w; |
18 | $sum_xy += $w * $x * $y; | |
19 | - | my ($x, $y) = @$d; |
19 | + | $sum_x += $w * $x; |
20 | - | $sum_xy += $x * $y; |
20 | + | $sum_y += $w * $y; |
21 | - | $sum_x += $x; |
21 | + | $sum_x2 += $w * $x ** 2; |
22 | - | $sum_y += $y; |
22 | + | |
23 | - | $sum_x2 += $x ** 2; |
23 | + | |
24 | my $denom = $sum_w * $sum_x2 - $sum_x ** 2; | |
25 | $a = ($n * $sum_xy - $sum_x * $sum_y) / $denom; | |
26 | - | $a = ($n * $sum_xy - $sum_x * $sum_y) / ($n * $sum_x2 - $sum_x ** 2); |
26 | + | $b = ($sum_x2 * $sum_y - $sum_xy * $sum_x) / $denom; |
27 | - | $b = ($sum_x2 * $sum_y - $sum_xy * $sum_x) / ($n * $sum_x2 - $sum_x ** 2); |
27 | + | $a_err = $sum_x2 / $denom; |
28 | - | my $ys = 0.; |
28 | + | $b_err = $sum_w / $denom; |
29 | my $diff = 0.; | |
30 | - | my ($x, $y) = @$d; |
30 | + | |
31 | - | $ys += ($y - $a * $x - $b) ** 2; |
31 | + | my ($x,, $y) = @$d; |
32 | $diff += ($y - $a * $x - $b) ** 2; | |
33 | - | my $error = 3 * sqrt($ys / ($n - 1)); |
33 | + | |
34 | my $error = 3 * sqrt($diff / ($n - 1)); | |
35 | my $i = 0; | |
36 | - | my ($x, $y) = @$d; |
36 | + | |
37 | my ($x,, $y) = @$d; | |
38 | splice @$data, $i, 1 if abs($y - $a * $x - $b) >= $error; | |
39 | $i++; | |
40 | } | |
41 | last if $n == @$data; | |
42 | - | say "y = ${a} * x + ${b}"; |
42 | + | |
43 | say "y = ${a} * x + ${b}"; | |
44 | say "a_err: ${a_err}, b_err: ${b_err}"; |