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According to the Hooke's Law the Force ( )

question 21

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According to the Hooke's Law the force ( According to the Hooke's Law the force (   )  needed to extend or compress a spring by some distance scales linearly with respect to that distance. Student measures the force exerted on the spring versus spring extension. The results of student's measurements are presented in the table below. ​   ​ Student observed that the values have the correlation coefficient close to 1, and filled in the table for the values   , 7,and 8 newtons. However, the professor noticed the deception, drawing attention to the fact that the student could not get such value of extension for the force of 8 newtons. Calculate the predicted value for 8 N and explain why this value can be incorrect. ​ ​ A) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. B) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. C) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change. D) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change. ) needed to extend or compress a spring by some distance scales linearly with respect to that distance. Student measures the force exerted on the spring versus spring extension. The results of student's measurements are presented in the table below. ​ According to the Hooke's Law the force (   )  needed to extend or compress a spring by some distance scales linearly with respect to that distance. Student measures the force exerted on the spring versus spring extension. The results of student's measurements are presented in the table below. ​   ​ Student observed that the values have the correlation coefficient close to 1, and filled in the table for the values   , 7,and 8 newtons. However, the professor noticed the deception, drawing attention to the fact that the student could not get such value of extension for the force of 8 newtons. Calculate the predicted value for 8 N and explain why this value can be incorrect. ​ ​ A) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. B) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. C) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change. D) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change.
Student observed that the values have the correlation coefficient close to 1, and filled in the table for the values According to the Hooke's Law the force (   )  needed to extend or compress a spring by some distance scales linearly with respect to that distance. Student measures the force exerted on the spring versus spring extension. The results of student's measurements are presented in the table below. ​   ​ Student observed that the values have the correlation coefficient close to 1, and filled in the table for the values   , 7,and 8 newtons. However, the professor noticed the deception, drawing attention to the fact that the student could not get such value of extension for the force of 8 newtons. Calculate the predicted value for 8 N and explain why this value can be incorrect. ​ ​ A) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. B) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because there is no evidence that the linear pattern continues outside this range. C) Predicted value for   is 9.9 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change. D) Predicted value for   is 12.4 centimeters.The least squares regression line should not be used to make predictions outside the range of the values because a point outside the range will greatly influence the regression line and the resulting parameters will change. , 7,and 8 newtons. However, the professor noticed the deception, drawing attention to the fact that the student could not get such value of extension for the force of 8 newtons. Calculate the predicted value for 8 N and explain why this value can be incorrect.

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Definitions:

Extraversion

A personality trait characterized by outgoing, sociable, and energetic behavior.

Self-Esteem

An individual's overall subjective emotional evaluation of their own worth or personal value.

Narcissism

A personality trait involving excessive preoccupation with oneself, a need for admiration, and a lack of empathy for others.

Self-Efficacy

The assurance a person holds in their skill to enact behaviors aimed at realizing specific goals.

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