question 11 of 25

which of these $r$-values represents the weakest correlation?

a. $-0.15$
b. $-0.75$
c. $-0.35$
d. $-0.05$

Question

question 11 of 25

which of these $r$-values represents the weakest correlation?

a. $-0.15$
b. $-0.75$
c. $-0.35$
d. $-0.05$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Correlation Coefficient" ], "new_concepts": [], "current_concepts": [ "Correlation Coefficient" ] } ## Define correlation strength The strength of a correlation is determined by the absolute value of the correlation coefficient, $|r|$. A value of $|r|$ closer to $0$ represents a weaker correlation, while a value closer to $1$ represents a stronger correlation. ## Calculate absolute values $$ \begin{aligned} &\text{Option A: } |-0.15| = 0.15 \ &\text{Option B: } |-0.75| = 0.75 \ &\text{Option C: } |-0.35| = 0.35 \ &\text{Option D: } |-0.05| = 0.05 \end{aligned} $$ ## Identify the weakest correlation $$ 0.05 < 0.15 < 0.35 < 0.75 $$ The smallest absolute value is $0.05$, which corresponds to $r = -0.05$.

(A) $-0.15$

(B) $-0.75$

(C) $-0.35$

(D) $-0.05$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Correlation Coefficient" ] }

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QUESTION IMAGE

Question

Explanation:

Define correlation strength

Calculate absolute values

Identify the weakest correlation

Answer: