Solved: In the lead example of this chapter, an experiment was described to determine
Chapter 8, Problem 7(choose chapter or problem)
In the lead example of this chapter, an experiment was described to determine the spring constant k in Hooke's law: E(l) k{l E). The function F is the force required to stretch the spring I units, where the constant E = 5.3 in. is the length ofthe unstretched spring. a. Suppose measurements are made ofthe length /, in inches, for applied weights F(l), in pounds, as given in the following table. FU) / 2 7.0 4 9.4 6 12.3 Find the least squares approximation for k.b. Additional measurements are made, giving more data: F(l) / 3 8.3 5 11.3 8 14.4 10 15.9 Compute the new least squares approximation for k. Which of (a) or (b) best fits the total experimental data?
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