updated the linear regression example
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@@ -4,46 +4,45 @@
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4 5 0 0 13
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4 5 0 0 13
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5 5 0 0 14
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5 5 0 0 14
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6 5 0 0 15
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6 5 0 0 15
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7 5 1 0 50
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7 4 1 2 0
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8 4 1 2 0
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8 6 1 1 3
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9 6 1 1 3
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9 7 0 3 3
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10 7 0 3 3
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10 6 1 2 4
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11 6 1 2 4
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11 7 0 4 4
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12 7 0 4 4
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12 6 1 2 5
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13 6 1 2 5
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13 7 0 1 5
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14 7 0 1 5
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14 7 1 127 10
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15 7 1 50 10
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15 7 2 127 11
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16 7 2 50 11
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16 7 3 127 12
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17 7 3 50 12
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17 7 4 127 13
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18 7 4 50 13
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18 7 5 127 14
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19 7 5 50 14
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19 7 127 127 15
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20 7 50 50 15
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20 6 1 3 6
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21 6 1 3 6
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21 7 4 127 6
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22 7 4 50 6
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22 1 1 6 7
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23 1 1 6 8
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23 8 15 127 15
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24 8 15 50 15
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24 6 1 15 1
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25 6 1 15 1
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25 7 0 14 1
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26 7 0 14 1
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26 6 1 11 5
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27 6 1 11 5
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27 7 0 10 5
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28 7 0 10 5
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28 8 1 5 6
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29 8 1 5 6
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29 6 1 15 3
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30 6 1 15 3
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30 7 0 12 3
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31 7 0 12 3
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31 6 1 10 4
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32 6 1 10 4
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32 7 0 10 4
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33 7 0 10 4
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33 8 3 4 3
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34 8 3 4 3
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34 9 6 3 21
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35 9 6 3 21
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35 6 1 10 1
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36 6 1 10 1
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36 7 0 21 1
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37 7 0 21 1
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37 8 11 1 1
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38 8 11 1 1
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38 9 1 15 20
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39 9 1 15 20
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39 6 1 11 2
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40 6 1 11 2
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40 7 0 11 2
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41 7 0 11 2
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41 6 1 15 5
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42 6 1 15 5
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42 7 0 13 5
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43 7 0 13 5
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43 8 5 2 2
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44 8 5 2 2
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44 6 1 3 1
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45 6 1 3 1
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45 7 0 2 1
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46 7 0 2 1
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46 12 0 1 1
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47 12 0 1 1
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47 9 6 1 22
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48 9 6 1 22
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48 3 20 22 0
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49 3 20 22 0
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+31
-32
@@ -10,46 +10,45 @@ set 0 0 12 ; x-square-sum to loc 12
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set 0 0 13 ; y-square-sum to loc 13
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set 0 0 13 ; y-square-sum to loc 13
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set 0 0 14 ; xy-sum to loc 14
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set 0 0 14 ; xy-sum to loc 14
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set 0 0 15 ; n to loc 15
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set 0 0 15 ; n to loc 15
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set 1 0 50 ; constant 1 to loc 50
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:lp inp 1 2 0 ; loop start; input xi and yi into loc 1 and loc 2
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:lp inp 1 2 0 ; loop start; input xi and yi into loc 1 and loc 2
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cpy 1 1 3 ; copy x into loc 3
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dva 1 3 ; copy x into loc 3
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fma 0 3 3 ; save x-squared into loc 3
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mul 3 3 ; save x-squared into loc 3
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cpy 1 2 4 ; copy y into loc 4
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dva 2 4 ; copy y into loc 4
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fma 0 4 4 ; save y-squared into loc y
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mul 4 4 ; save y-squared into loc y
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cpy 1 2 5 ; copy y into loc 5
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dva 2 5 ; copy y into loc 5
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fma 0 1 5 ; save xy into loc 5
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mul 1 5 ; save xy into loc 5
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fma 1 50 10 ; update x-sum (Sx) => loc 10
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fma 1 127 10 ; update x-sum (Sx) => loc 10
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fma 2 50 11 ; update y-sum (Sy) => loc 11
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fma 2 127 11 ; update y-sum (Sy) => loc 11
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fma 3 50 12 ; update x-square-sum (Sxx) => loc 12
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fma 3 127 12 ; update x-square-sum (Sxx) => loc 12
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fma 4 50 13 ; update y-square-sum (Syy) => loc 13
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fma 4 127 13 ; update y-square-sum (Syy) => loc 13
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fma 5 50 14 ; update xy-sum (Sxy) => loc 14
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fma 5 127 14 ; update xy-sum (Sxy) => loc 14
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fma 50 50 15 ; increment n at loc 15
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inc 15 ; increment n at loc 15
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cpy 1 3 6 ; copy x-squared into loc 6
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dva 3 6 ; copy x-squared into loc 6
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fma 4 50 6 ; add x-squared and y-squared into loc 6
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fma 4 127 6 ; add x-squared and y-squared into loc 6
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jmp 1 6 :lp ; loop back to the input if the square sum is over zero
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jmp 1 6 :lp ; loop back to the input if the square sum is over zero
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sub 15 50 15 ; decrement last n at loc 15 to omit the (0,0) input
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sub 15 127 15 ; decrement last n at loc 15 to omit the (0,0) input
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cpy 1 15 1 ; copy n to loc 1
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dva 15 1 ; copy n to loc 1
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fma 0 14 1 ; n * Sxy => loc 1
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mul 14 1 ; n * Sxy => loc 1
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cpy 1 11 5 ; copy Sy to loc 5
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dva 11 5 ; copy Sy to loc 5
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fma 0 10 5 ; Sx * Sy => loc 5
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mul 10 5 ; Sx * Sy => loc 5
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sub 1 5 6 ; n * Sxy - Sx * Sy => loc 6 (to be stored for r calculation)
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sub 1 5 6 ; n * Sxy - Sx * Sy => loc 6 (to be stored for r calculation)
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cpy 1 15 3 ; copy n to loc 3
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dva 15 3 ; copy n to loc 3
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fma 0 12 3 ; n * Sxx => loc 3
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mul 12 3 ; n * Sxx => loc 3
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cpy 1 10 4 ; copy Sx to loc 4
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dva 10 4 ; copy Sx to loc 4
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fma 0 10 4 ; Sx squared => loc 4
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mul 10 4 ; Sx squared => loc 4
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sub 3 4 3 ; n * Sxx - Sx^2 => loc 3 (to be stored for r calculation)
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sub 3 4 3 ; n * Sxx - Sx^2 => loc 3 (to be stored for r calculation)
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div 6 3 21 ; coefficient B => loc 21
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div 6 3 21 ; coefficient B => loc 21
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cpy 1 10 1 ; copy Sx to loc 1
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dva 10 1 ; copy Sx to loc 1
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fma 0 21 1 ; B * Sx => loc 1
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mul 21 1 ; B * Sx => loc 1
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sub 11 1 1 ; Sy - B * Sx => loc 1
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sub 11 1 1 ; Sy - B * Sx => loc 1
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div 1 15 20 ; coefficient A => loc 20
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div 1 15 20 ; coefficient A => loc 20
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cpy 1 11 2 ; copy Sy to loc 2
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dva 11 2 ; copy Sy to loc 2
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fma 0 11 2 ; (Sy) ^ 2 => loc 2
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mul 11 2 ; (Sy) ^ 2 => loc 2
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cpy 1 15 5 ; n to loc 5
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dva 15 5 ; n to loc 5
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fma 0 13 5 ; n * Syy => loc 5
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mul 13 5 ; n * Syy => loc 5
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sub 5 2 2 ; n * Syy - Sy^2 => loc 2
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sub 5 2 2 ; n * Syy - Sy^2 => loc 2
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cpy 1 3 1 ; loc 3 => loc 1
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dva 3 1 ; loc 3 => loc 1
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fma 0 2 1 ; loc 3 * loc 2 => loc 1
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mul 2 1 ; loc 3 * loc 2 => loc 1
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sqr 0 1 1 ; sqrt(loc 1) => loc 1
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sqr 0 1 1 ; sqrt(loc 1) => loc 1
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div 6 1 22 ; correlation coefficient r => loc 22
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div 6 1 22 ; correlation coefficient r => loc 22
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out 20 22 0 ; output all three resulting numbers
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out 20 22 0 ; output all three resulting numbers
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