Sigchi4life
Category:
Calculus
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Question description

Hooke’s Law states that the force F required to compress or stretch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, F = kd, where k is the measure of the stiffness of the spring and is called the spring constants. The table below shows the elongation d in centimeters of a spring when a force of F kilograms is applied.

1. Sketch a scatter plot of the data.
2. Find the equation of the line that seems to best fit the data.
3. Use the regression feature of a graphing utility to find a linear model for the data. Compare this model with the model from part b.
4. Use the model from part c. to estimate the elongation of the spring when a force of 55 kilograms is applied.

(Top Tutor) Daniel C.
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