IXL - Match correlation coefficients to scatter plots (Precalculus practice)

Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line.

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Learn with an example

Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line.

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The correlation coefficient,

measures how close a set of data points is to being linear. In other words, it measures the strength of the linear correlation of the data set.

Larger values of
absolute value bar
r
absolute value bar
mean the data set has a stronger linear correlation. Smaller values of
absolute value bar
r
absolute value bar
mean the data set has a weaker linear correlation.
The correlation coefficient,
r
,
is between -1 and 1. It is 1 if the data points are on a line with positive slope. It is -1 if the data points are on a line with negative slope.
The correlation coefficient is positive if the data points have a positive (increasing) trend, and negative if the data points have a negative (decreasing) trend. It has the same sign as the slope of the least squares regression line.

The data points in this scatter plot are on a line with negative slope.

The correlation coefficient,

is -1 if the data points are on a line with negative slope. So,

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is the correlation coefficient of this data set.

This scatter plot shows a positive (increasing) trend.

The correlation coefficient,

is positive if the data points have a positive trend. So,

0.4

is the correlation coefficient of this data set.

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0.4

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