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wants to measure the stiffne öf å spring (force required etween the distance a spring is stretched and the force needed when he stretches the spring by some amount. The plot and the

wants to measure the stiffne öf å spring (force required etween the distance a spring is stretched and the force needed when he stretches the spring by some amount. The plot and the

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below. Force versus Distance Stretched 50 4 6. 10 Distance the Spring is Stretched (cm) From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321. Part i). The stiffness of the spring was predicted to be OA. -9.961 OB. 50.642 OC. -2.532 OD. 25.321 OE. 125.84 00. 00L Force (N)
Transcribed Image Text:A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below. Force versus Distance Stretched 50 4 6. 10 Distance the Spring is Stretched (cm) From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321. Part i). The stiffness of the spring was predicted to be OA. -9.961 OB. 50.642 OC. -2.532 OD. 25.321 OE. 125.84 00. 00L Force (N)
Part i). Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply) A. He made a prediction outside of the range of stretched distances measured. VB. He made a prediction outside of the range of forces observed. nC. He had outliers or influential points in his data. V D. Correlation does not imply causation. OE. None of the above
Transcribed Image Text:Part i). Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply) A. He made a prediction outside of the range of stretched distances measured. VB. He made a prediction outside of the range of forces observed. nC. He had outliers or influential points in his data. V D. Correlation does not imply causation. OE. None of the above
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