Match the correlation coefficients with the scatterplots shown below.
\begin{tabular}{c|c}
Scatterplot & Correlation co \
\hline Scatterplot A & $r=-0.71$ \
Scatterplot B & $r=-0.92$ \
Scatterplot C & $r=0.39$ \
Scatterplot D & $r=0.85$
\end{tabular}

Scatterplot B

Scatterplot D

Question

Match the correlation coefficients with the scatterplots shown below.
\begin{tabular}{c|c} 
Scatterplot & Correlation co \
\hline Scatterplot A & $r=-0.71$ \
Scatterplot B & $r=-0.92$ \
Scatterplot C & $r=0.39$ \
Scatterplot D & $r=0.85$
\end{tabular}

Scatterplot B

Scatterplot D

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Review the description of each scatterplot and the provided correlation coefficients. ‖ ‖ step 2 ⋮ Identify any discrepancies between the visual trend of the scatterplots and the provided correlation coefficients. ‖ ‖ step 3 ⋮ Correctly match the scatterplots with the correlation coefficients based on the trends and the values. ‖ ‖ step 4 ⋮ Scatterplot A shows a weak positive trend, but the coefficient is r = -0.71, which is a moderate negative correlation. This is a mismatch. ‖ ‖ step 5 ⋮ Scatterplot B shows no clear trend, but the coefficient is r = -0.92, which is a strong negative correlation. This is a mismatch. ‖ ‖ step 6 ⋮ Scatterplot C shows a weak negative trend, but the coefficient is r = 0.39, which is a weak positive correlation. This is a mismatch. ‖ ‖ step 7 ⋮ Scatterplot D shows a strong positive trend, and the coefficient is r = 0.85, which is a strong positive correlation. This is a correct match. ‖ ‖ step 8 ⋮ Based on the correct matches, adjust the other scatterplots' correlation coefficients accordingly. ‖ ‖ step 9 ⋮ Assign r = -0.71 to the scatterplot that shows a moderate negative correlation, r = -0.92 to the scatterplot with no clear trend, and r = 0.39 to the scatterplot with a weak positive trend. ‖ ∻[question number] Answer∻ ***B*** ∻Key Concept∻ ⚹Correlation Coefficient Matching⚹ ∻Explanation∻ ⚹The correlation coefficient quantitatively describes the strength and direction of a linear relationship between two variables. It is important to match the visual trend of the scatterplot with the appropriate correlation coefficient value.⚹◊What is the formula to calculate the correlation coefficient between two variables in a scatterplot?⍭ Generate me a similar question◊

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