If we have a series of experimental data of 2 variables A and B, with both sets of data related by the expression: A = B + C, where C is a constant. If by plotting A against B we obtain a straight line with a theoretical slope m and ordinate at the origin C, and by applying the least squares method we could determine C. But, as the previous expression can be transformed into B = A - C, we could also plot B against A and obtain C from the ordinate at the origin with a changed sign. Should the same value of C be obtained by both methods?(A). Yes, because the step from "A = B + C" to "B = A - C" is an exact algebraic transformation(B). Only in the case where A and B are equal(C). Only in the case where the errors of A and B are high, since the least squares method compensates for them(D). The most normal thing is that the same value is not obtained
If we have a series of experimental data of 2 variables A and B, with both sets of data related by the expression: A = B + C, where C is a constant. If by plotting A against B we obtain a straight line with a theoretical slope m and ordinate at the origin C, and by applying the least squares method we could determine C. But, as the previous expression can be transformed into B = A - C, we could also plot B against A and obtain C from the ordinate at the origin with a changed sign. Should the same value of C be obtained by both methods?
(A). Yes, because the step from "A = B + C" to "B = A - C" is an exact algebraic transformation
(B). Only in the case where A and B are equal
(C). Only in the case where the errors of A and B are high, since the least squares method compensates for them
(D). The most normal thing is that the same value is not obtained
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