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745 Fit a straight line to the following data, also determine the trend values as well: Years 19971998|1999|200020012002 Values 12 Compute trend values by fitting a straight line. Years 19901991|1992|1993|1994|1998|1996| Values 81 84 Determine the trend line hu th 10 11 18 15 24 88 104 134148 170

745 Fit a straight line to the following data, also determine the trend values as well: Years 19971998|1999|200020012002 Values 12 Compute trend values by fitting a straight line. Years 19901991|1992|1993|1994|1998|1996| Values 81 84 Determine the trend line hu th 10 11 18 15 24 88 104 134148 170

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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745 Q.10.26 (a) Fit a straight line to the following data, also determine the trend values as well: Years 19971998 19992000020012002 Values 12 Compute trend values by fitting a straight line. Years 199019911992|1993|9941995 1996 Values 81 10 | 11 18 | 15 24 ((b) 84 88 104 134148 170 O10.27 (a) Determine the trend line by the least squares method from the following data. Plot the actual values and the lincar trend on same graph. Years 1995 199619971998|1999|2000200120022003 Price in Rs. 3 (6) 6 2 10 7 9. 14 12 18 Use the method of least squares to determine the linear trend line for the following data. Also compute the trend values and make an estimate of the nuniber of bags of fertilizer sold in the 1st and 2nd quarters of 1999. Quarters Years II III IV 1995 72 98 79 106 1996 79 122 101 143 1997' 94 141 128 160 1998 125 143 135 187 Q.10.28 (a) Fit a quadratic parabola to the following series of observations taking the years as independent variable. Years 1924 19271930 1933|19361939|1942 Index of coal prices 187 142 133 129 136 169 279 Use your results to estimate the value of the index for 1935. (b) Fit a second degree parabola to the following results, for the years 1955-1965 (both inclusive). ΣΧ-0, ΣΥ= 410, ΣΥΎ = 601 ΣχΥ-4587, Σχ110, Σχ-0, Σχ" -1958 Find out the trend values as well. %3D 9 (0) If the second degree parabola fitted to the data for 1970 to 1979 (both inclusive) with origin at the middle of 1974 and. 1975 is Y 100.356 + 11.333X + 1,006X² the unit of X being half year, find the trend values corresponding to the years 1970-1979. (6) Fit a straight line and second degree parabola to the following data of bank deposits.
Transcribed Image Text:745 Q.10.26 (a) Fit a straight line to the following data, also determine the trend values as well: Years 19971998 19992000020012002 Values 12 Compute trend values by fitting a straight line. Years 199019911992|1993|9941995 1996 Values 81 10 | 11 18 | 15 24 ((b) 84 88 104 134148 170 O10.27 (a) Determine the trend line by the least squares method from the following data. Plot the actual values and the lincar trend on same graph. Years 1995 199619971998|1999|2000200120022003 Price in Rs. 3 (6) 6 2 10 7 9. 14 12 18 Use the method of least squares to determine the linear trend line for the following data. Also compute the trend values and make an estimate of the nuniber of bags of fertilizer sold in the 1st and 2nd quarters of 1999. Quarters Years II III IV 1995 72 98 79 106 1996 79 122 101 143 1997' 94 141 128 160 1998 125 143 135 187 Q.10.28 (a) Fit a quadratic parabola to the following series of observations taking the years as independent variable. Years 1924 19271930 1933|19361939|1942 Index of coal prices 187 142 133 129 136 169 279 Use your results to estimate the value of the index for 1935. (b) Fit a second degree parabola to the following results, for the years 1955-1965 (both inclusive). ΣΧ-0, ΣΥ= 410, ΣΥΎ = 601 ΣχΥ-4587, Σχ110, Σχ-0, Σχ" -1958 Find out the trend values as well. %3D 9 (0) If the second degree parabola fitted to the data for 1970 to 1979 (both inclusive) with origin at the middle of 1974 and. 1975 is Y 100.356 + 11.333X + 1,006X² the unit of X being half year, find the trend values corresponding to the years 1970-1979. (6) Fit a straight line and second degree parabola to the following data of bank deposits.
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