Question
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The following figure shows a scatterplot. Which of the following statements are correct?
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![](scatterplot-1.svg)
Answerlist
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* The absolute value of the correlation coefficient is at least $0.8$.
* The slope of the regression line is about $1$.
* The standard deviation of $Y$ is at least $6$.
* For $X = 0.3$, $Y$ can be expected to be about $0$.
* The mean of $X$ is at most $5$.
Solution
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Answerlist
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* False. No association between the variables is observed in the scatterplot. This implies a correlation coefficient close to $0$.
* False. The slope of the regression line is given by $r \cdot s_y/s_x$ and hence not about equal to $1$.
* False. The standard deviation of $Y$ is about equal to $1$ and is therefore smaller than $6$.
* True. The regression line at $X=0.3$ implies a value of about $Y = 0$.
* True. The mean of $X$ is about equal to $0$ and hence is smaller than $5$.
Meta-information
================
extype: mchoice
exsolution: 00011
exname: Scatterplot