construct a scatter plot. state if there is a positive correlation, negative correlation, or no correlation.

45)
\begin{tabular}{r|r}
x & y \\
\hline
90 & 650 \\
110 & 230 \\
170 & 200 \\
280 & 930 \\
310 & 740
\end{tabular}
\begin{tabular}{r|r}
x & y \\
\hline
520 & 630 \\
620 & 370 \\
760 & 330 \\
790 & 300 \\
940 & 860
\end{tabular}

a) negative correlation
b) no correlation
c) no correlation
d) no correlation

Question

construct a scatter plot. state if there is a positive correlation, negative correlation, or no correlation.

45)
\begin{tabular}{r|r}
x & y \\
\hline
90 & 650 \\
110 & 230 \\
170 & 200 \\
280 & 930 \\
310 & 740
\end{tabular}
\begin{tabular}{r|r}
x & y \\
\hline
520 & 630 \\
620 & 370 \\
760 & 330 \\
790 & 300 \\
940 & 860
\end{tabular}

a) negative correlation
b) no correlation
c) no correlation
d) no correlation

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Scatter Plots", "Correlation Analysis" ], "current_concepts": [ "Scatter Plots", "Correlation Analysis" ] } ## Identify key data points $$ \begin{aligned} &(x_1, y_1) = (90, 650) \ &(x_2, y_2) = (110, 230) \ &(x_3, y_3) = (170, 200) \ &(x_4, y_4) = (280, 930) \ &(x_5, y_5) = (310, 740) \ &(x_6, y_6) = (520, 630) \ &(x_7, y_7) = (620, 370) \ &(x_8, y_8) = (760, 330) \ &(x_9, y_9) = (790, 300) \ &(x_{10}, y_{10}) = (940, 860) \end{aligned} $$ ## Verify points on option C $$ \begin{aligned} &(90, 650) \implies \text{Point plotted near } x = 90, y = 650 \ &(110, 230) \implies \text{Point plotted near } x = 110, y = 230 \ &(170, 200) \implies \text{Point plotted near } x = 170, y = 200 \ &(280, 930) \implies \text{Point plotted near } x = 280, y = 930 \ &(310, 740) \implies \text{Point plotted near } x = 310, y = 740 \ &(520, 630) \implies \text{Point plotted near } x = 520, y = 630 \ &(620, 370) \implies \text{Point plotted near } x = 620, y = 370 \ &(760, 330) \implies \text{Point plotted near } x = 760, y = 330 \ &(790, 300) \implies \text{Point plotted near } x = 790, y = 300 \ &(940, 860) \implies \text{Point plotted near } x = 940, y = 860 \end{aligned} $$ ## Determine correlation type $$ \text{No clear linear trend} \implies \text{No correlation} $$

(A) Negative correlation graph

(B) No correlation graph with incorrect points

(C) No correlation graph with correct points

(D) No correlation graph with incorrect points

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Scatter Plots" ] }

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QUESTION IMAGE

Question

Explanation:

Identify key data points

Verify points on option C

Determine correlation type

Answer: