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**5.4 Correlation and Best-Fitting Lines**

Scatter Plot – a graph used to determine whether there is a relationship between paired data

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2.5 Correlation and Best-Fitting Lines Positive Correlation – when y tends to increase as x increases. Negative Correlation – when y tends to decrease as x increases. Relatively no correlation – if the points show no linear pattern.

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Approximating Best-Fitting Line: Graphical Approach Step 1: Carefully draw a scatter plot of the data. Step 2: Sketch the line that appears to follow most closely the pattern given by the points. There should be as many points above the line as below it.

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Step 3: Choose two points on the line, and estimate the coordinates of each point. These two points do not have to be original data points. Step 4: Find an equation of the line that passes through the two points from Step 3. This equation models the data.

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Solve for a. 1.10 = 2a 2.–5a = –16 ANSWER 5 16 5 3. Write an equation of the line that passes through the points (0, 0) and (4, 8). y = 2x Solve for a.

Solve for a. 1.10 = 2a 2.–5a = –16 ANSWER 5 16 5 3. Write an equation of the line that passes through the points (0, 0) and (4, 8). y = 2x Solve for a.

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