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100 CONST N = 11
110 DEFDBL A-H, O-Z: REM Define everything double precision except the indices.
120 DIM X(N), Y(N)
130 DATA 1981.,1982.,1983.,1984.,1985.,1986.,1987.,1988.,1989.,1990.,1991.
140 DATA 90.08,90.57,90.76,91.30,91.57,92.44,92.87,93.68,93.85,94.49,94.88
150 FOR I = 1 TO N: READ X(I): NEXT I
160 FOR I = 1 TO N: READ Y(I): NEXT I
170 SUMX = 0!: SUMY = 0!: SUMX2 = 0!: SUMXY = 0!: SUMX2 = 0!
180 SIGMAX = 0!: SIGMAY = 0!: SIGMAXY = 0!
190 FOR I = 1 TO N
200 SUMX = SUMX + X(I): SUMY = SUMY + Y(I): SUMX2 = SUMX2 + X(I) * X(I)
210 SUMXY = SUMXY + X(I) * Y(I): SUMY2 = SUMY2 + Y(I) * Y(I)
220 NEXT I
230 DELTA = CDBL(N) * SUMX2 - SUMX * SUMX
240 A = (SUMX2 * SUMY - SUMX * SUMXY) / DELTA
250 B = (CDBL(N) * SUMXY - SUMX * SUMY) / DELTA
260 CLS : PRINT "A (x-intercept) = "; A
270 PRINT "B (slope) = "; B
280 XMU = SUMX / CDBL(N): YMU = SUMY / CDBL(N)
290 FOR I = 1 TO N
300 SIGMAX = SIGMAX + (XMU - X(I)) * (XMU - X(I))
310 SIGMAY = SIGMAY + (YMU - Y(I)) * (YMU - Y(I))
320 SIGMAXY = SIGMAXY + (XMU - X(I)) * (YMU - Y(I))
330 NEXT I
340 R = SIGMAXY / SQR(SIGMAX * SIGMAY)
350 PRINT "Correlation Coefficient r = "; R: SIGMAY = 0!
360 FOR I = 1 TO N
370 SIGMAY = SIGMAY + (Y(I) - A - B * X(I)) ^ 2
380 PRINT USING "#### ##.##### ##.#####"; X(I); Y(I); A + B * X(I)
390 NEXT I
400 SIGMAY = SQR(SIGMAY / (CDBL(N) - 2!))
410 PRINT "sigma_y (unbiased) = "; SIGMAY
420 PRINT "sigma_x (unbiased) = "; SIGMAY * SQR(SIGMAX / DELTA)
430 END
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