Question

question #9 a strong, positive linear correlation is found between height and shoe size. which value of the correlation coefficient, best represents a strong, positive correlation? a -0.9 b -0.35 c 0.35 d 0.9 question #10 a statistician is studying the correlation between two variables and discovers a correlation coefficient of -0.15. which best describes the correlation between the two variables? a the variables have a strong, negative correlation b the variables have a strong, positive correlation c the variables have a weak, negative correlation d the variables have a weak, positive correlation

Explanation:

Question #9 Step1: Recall correlation rules

Correlation coefficient $r$ ranges from $-1$ to $1$. Positive values mean positive correlation; values close to $\pm1$ mean strong correlation.

Question #9 Step2: Match to description

We need strong, positive $r$, so $0.9$ is correct.

Question #10 Step1: Recall correlation strength rules

$|r| < 0.3$ means weak correlation; negative $r$ means negative correlation.

Question #10 Step2: Classify given $r=-0.15$

$|-0.15|=0.15 < 0.3$, so weak negative correlation.

Answer:

Question #9: D. 0.9
Question #10: C. The variables have a weak, negative correlation