which is most likely the correlation coefficient for the set of data shown?

0.75

-0.19

0.19

-0.65

Question

which is most likely the correlation coefficient for the set of data shown?

0.75

-0.19

0.19

-0.65

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", "Linear Correlation" ], "new_concepts": [], "current_concepts": [ "Correlation Coefficient", "Linear Correlation", "Graphical Interpretation" ] } ## Determine the direction of the correlation $$ \text{Slope of the line of best fit} > 0 \implies r > 0 $$ ## Evaluate the strength of the correlation $$ \begin{aligned} &\text{Points are widely scattered around the line of best fit.} \ &\text{This indicates a very weak positive linear relationship.} \ &r \approx 0.19 \quad (\text{since } 0.75 \text{ represents a strong positive correlation}) \end{aligned} $$

(A) 0.75

(B) $-0.19$

(C) 0.19

(D) $-0.65$

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

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QUESTION IMAGE

Question

Explanation:

Determine the direction of the correlation

Evaluate the strength of the correlation

Answer: