Which of the four correlation coefficients below best exemplifies a moderate relationship showing less back pain in people who exercise more frequently? a. 0.7 b. –0.5 c. –0.2 d. 0.4

  d. 0.4

Step-by-step explanation:

We know that the correlation coefficient is a r-value measure of the strength of the linear relationship between two quantities.

When the value of correlation coefficient (r-value) lies between -0.5 to -0.3 or 0.3 to 0.5, then it indicates that there is moderate association.  

From all the given four correlation coefficients  , 0.4 is the best value that exemplifies a moderate relationship showing less back pain in people who exercise more frequently since it lies between 0.3 and 0.5.

Hence, d is the correct option.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°