Question

Math

Posted 6 months ago

```
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
```

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Answer from Sia

Posted 6 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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