Note that the r you calculated is negative. How would we determine if this negative correlation is significant? Let's use a hypothetical example to illustrate. Suppose you caleulate r for 18 pairs of observations and find r-0.56. The DF = 16, and the critical value in the table would be 0.468. To test the significance of this negative r, you would ignore the negative sign, and see if it exceeds the critical value. You can think of the sign as indicating a direction, much like in velocity in physics. In our hypothetical example, the value 0.56 exceeds the critical value (0.468), so the correlation would be significant. Just be sure to report it as a significant negative correlation (-0.56). Is your negative correlation significant?

Note that the r you calculated is negative. How would we determine if this negative correlation is significant? Let's use a hypothetical example to illustrate. Suppose you caleulate r for 18 pairs of observations and find r-0.56. The DF = 16, and the critical value in the table would be 0.468. To test the significance of this negative r, you would ignore the negative sign, and see if it exceeds the critical value. You can think of the sign as indicating a direction, much like in velocity in physics. In our hypothetical example, the value 0.56 exceeds the critical value (0.468), so the correlation would be significant. Just be sure to report it as a significant negative correlation (-0.56). Is your negative correlation significant?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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