Match the linear correlation coefficient to the scatter...

Match the linear correlation coefficient to the scatter diagram. The scales on the $x$ - and $y$ -axes are the same for each scatter 7 diagram.
(a) $r=0.787$
(b) $r=0.523$
(c) $r=0.810$
(d) $r=0.946$
CAN'T COPY THE FIGURES

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Key Concepts

Linear Correlation Coefficient

This is a numerical measure that expresses the degree and direction of a linear relationship between two variables. Its value ranges from -1 to 1, where values close to 1 indicate a strong positive relationship, values close to -1 indicate a strong negative relationship, and values around 0 indicate little to no linear relationship.

Scatter Diagram

A scatter diagram, or scatter plot, is a graphical tool used to display values for typically two variables for a set of data. The pattern of the points on the plot helps in identifying the potential existence and nature of a relationship between the variables.

Interpreting Correlation Strength

The magnitude of the linear correlation coefficient reflects the strength of the relationship between the variables. Higher absolute values suggest that points in the scatter plot lie closer to a straight line, implying a stronger linear association, whereas lower absolute values indicate a weaker linear connection.

Scale Consistency

Having the same scale on both axes in a scatter plot ensures that the visual representation accurately reflects the relationship between the variables without distortion. Equal scaling is crucial for proper interpretation of the geometric relationship and the slope of the trend line in the plot.

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