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Question
Math
Posted 3 months ago

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

Scatterplot B

Scatterplot D
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Answer from Sia
Posted 3 months ago
Solution by Steps
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.

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