1. The coefficient of correlation relating task performance score to conscientiousness score was reported as r = 0.18. Explain why the researchers should not use this statistic to investigate the curvilinear relationship between task performance and conscientiousness. 2. Give the equation of a curvilinear (quadratic) model relating task performance score (y) to conscientiousness score (x). 3. The researchers theorized that task performance increases as level of conscientiousness increases, but at a decreasing rate. Draw a sketch of this relationship. 4. If the theory in part (3) is supported, what is the expected sign of the quadratic term in the model, part (2)?

1. The coefficient of correlation relating task performance score to conscientiousness score was reported as r = 0.18. Explain why the researchers should not use this statistic to investigate the curvilinear relationship between task performance and conscientiousness. 2. Give the equation of a curvilinear (quadratic) model relating task performance score (y) to conscientiousness score (x). 3. The researchers theorized that task performance increases as level of conscientiousness increases, but at a decreasing rate. Draw a sketch of this relationship. 4. If the theory in part (3) is supported, what is the expected sign of the quadratic term in the model, part (2)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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