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them., 1972, 1973, 1974, 1975, 1976, 1977, ur, 1978, 380, 650, 720, 1979, 1980, 0OF, 690, 620, Computation of Trend Values, 670, 930, 1040, Solution:, Talues (), 380, ху, Trend Values (Straight Line), 16, 1972, -1520, 400, -3, y., = 680 + 70.5 (-4), 398.00, 1973, -1200, 650, -2, = 680 + 70.5 (-3) = 468.50, 1974, 4, -1300, = 680 + 70.5 (-2)= 539.00, 720, -1, 1975, -720, 690, = 680 + 70.5 (-1) = 609.50, 1976, 620, +1, 680 + 70.5 (-0)= 680.00, 1977, +620, = 680 + 70.5 (+1) = 750.50, 670, +2, 1978, 4, +1340, Ye, = 680 + 70.5 (+2) = 821.00, 950, +3, 1979, +2850, y.= 680 + 70.5 (+3) = 891.50, 1980, 1040, +4, 16, +4160, y. = 680 + 70.5 (+4) = 962.00, Ey = 6120, Σχ 0, Σχ260, Exy = +4230, Ey., = 6120.00, 6120, = 680, 9., Exy, 420, 'a' =, 'b'=, Er, = 70.5, 60, %3D, 17, = a + bx Y. = 680 + 70.5x, bu the method of least sauares and prove that £ (y-yc) = 0.
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mal, Example 2.1. Obtain the straight line trend equation and tabulate against eaxh year the trend, earlier, values:, 1972, 1973, 1974, 1975, Year:, 1976, 1977, 1978, 1979, 1980, Talues:, 380, 400, 650, 720, 690, 620, 670, 950, 1040, Solution :, Computation of Trend Values, T'alues (y), Years, Trend Values (Straight Line), 1972, 380, -4, 16, -1520, = 680 + 70.5 (-4) 398.00, 1973, 400, -3, 9., -1200, = 680 + 70.5 (-3) = 468.50, %3D, 1974, 650, -2, 4, -1300, = 680 + 70.5 (-2) = 539.00, 1975, 720, -1, -720, =680 +70.5 (-1) 609.50, 1976, 690, y. = 680 + 70.5 (-0) = 680.00, 1977, 620, +1, .+620, y.= 680 +.70.5 (+1) = 750.50, 1978, 670, +2, 4, +1340, Y.=, = 680 + 70:5 (+2) 821.00, 1979, 950, +3, 9., +2850, y.= 680 + 70.5 (+3) = 891.50, %3D, 1980, 1040, +4, 16, +4160, = 680 + 70.5 (+4) = 962.00, Ey = 6120, Σχ -0, Σχ-60, Exy = +4230, %3D, = 6120.00, Ey 6120, 'a' =, Ery _ 420, 680, 'b'=, = 70.5, 60, =, 9., Er, y = a + bx Y = 680 + 70.5x