Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See the figure below and Example 6.92.) Accordingly, there are constants a and b such that The table below shows the results of attaching various weights to a spring. F(oz) 2 468 L(in) 810.8 12.7 14.8 (a) Determine the constants a and b by finding the least squares approximating line for these data. What does a represent? a represents the minimum length of the spring O a represents the maximum length of the spring. @ a represents the force needed to compress the spring to a length of zero O a represents the length of the spring when no force is applied. (b) Estimate the length of the spring when a weight of S ounces is attached. in Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See the figure below and Example 6.92.) Accordingly, there are constants a and b such that The table below shows the results of attaching various weights to a spring. F(oz) 2 468 L(in) 810.8 12.7 14.8 (a) Determine the constants a and b by finding the least squares approximating line for these data. What does a represent? a represents the minimum length of the spring O a represents the maximum length of the spring. @ a represents the force needed to compress the spring to a length of zero O a represents the length of the spring when no force is applied. (b) Estimate the length of the spring when a weight of S ounces is attached. in


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