$\"\"$

\

When data have a negative correlation, the dependent variable tends to decrease as the independent variable increase.

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For example of negative correlation data set as shown below.

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\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\
x
\ \
1.2
\ 1.8 2.3 3.0 \ \ 4.4 \
5.2
\
\
y
\ \
10
\ 7 5 $\"\"$ $\"\"$ \
$\"\"$
\
\ Treat the data as ordered pairs.

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Plot the ordered pairs as points in a coordinate plane.

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The scatter plot shows a negative correlation between x and y.

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This means that as the x - values increased, the y - value tended to decrease, so you can fit a line to the data.

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Draw a line that appears to fit the points in the scatter plot closely.

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$\"graph$

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$\"\"$

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Write an equation using any two points on the line.

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Two points are $\"\"$ .

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Substitute the values of $\"\"$ in the slope formula $\"\"$ .

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$\"\"$ . $\"\"$

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To find the y - intercept, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

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$\"\"$

\

$\"\"$

\

$\"\"$

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Add 5.4 to each side.

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$\"\"$

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$\"\"$ .

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Substitute the values of $\"\"$ in the slope - intercept form of equation $\"\"$ . $\"\"$

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The equation of line is $\"\"$ .