55 lines
2.2 KiB
Plaintext
55 lines
2.2 KiB
Plaintext
; Linear regression calculator in MU8A for mu808 VM
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; Enter the pairs number by number, end with 0,0 pair
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; The program will then output A and B parameters of A + Bx
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; linear function and then the correlation coefficient r
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; Created by Luxferre in 2025, released into public domain
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set 0 0 10 ; x-sum to loc 10
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set 0 0 11 ; y-sum to loc 11
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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 14 ; xy-sum to loc 14
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set 0 0 15 ; n to loc 15
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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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dva 1 3 ; copy x into loc 3
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mul 3 3 ; save x-squared into loc 3
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dva 2 4 ; copy y into loc 4
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mul 4 4 ; save y-squared into loc y
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dva 2 5 ; copy y into loc 5
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mul 1 5 ; save xy into loc 5
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fma 1 127 10 ; update x-sum (Sx) => loc 10
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fma 2 127 11 ; update y-sum (Sy) => loc 11
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fma 3 127 12 ; update x-square-sum (Sxx) => loc 12
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fma 4 127 13 ; update y-square-sum (Syy) => loc 13
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fma 5 127 14 ; update xy-sum (Sxy) => loc 14
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inc 15 ; increment n at loc 15
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dva 3 6 ; copy x-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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sub 15 127 15 ; decrement last n at loc 15 to omit the (0,0) input
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dva 15 1 ; copy n to loc 1
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mul 14 1 ; n * Sxy => loc 1
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dva 11 5 ; copy Sy to 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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dva 15 3 ; copy n to loc 3
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mul 12 3 ; n * Sxx => loc 3
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dva 10 4 ; copy Sx to 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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div 6 3 21 ; coefficient B => loc 21
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dva 10 1 ; copy Sx to 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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div 1 15 20 ; coefficient A => loc 20
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dva 11 2 ; copy Sy to loc 2
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mul 11 2 ; (Sy) ^ 2 => loc 2
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dva 15 5 ; n to 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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dva 3 1 ; loc 3 => 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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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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