Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data...
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Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data pairs (x, y). If y tends to increase as x increases, then the data have a positive correlation . If y tends to decrease as x increases, then the data have a negative correlation . If the points show no obvious pattern, then the data have approximately no correlation.
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Transcript of Section 2.6 – Draw Scatter Plots and Best Fitting Lines A scatterplot is a graph of a set of data...
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
A scatterplot is a graph of a set of data pairs
(x, y). If y tends to increase as x increases, then the data have a positive correlation. If y tends to decrease
as x increases, then the data have a negative correlation. If the points show no obvious pattern, then
the data have approximately no correlation.
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
Example 1:
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
A correlation coefficient, denoted r, is a number from -1 to 1 that measures how well a line fits a set of data
pairs (x,y). If r is near 1, the points lie close to a line with positive slope. If r is near -1, the points lie close to a line
with negative slope. If r is near 0, the points do not lie close to any line.
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
Example 2:
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
If the correlation coefficient for a set of data is near positive or negative 1, the data can be
reasonably modeled by a line. The best fitting line is the line that lies as close as possible to all
the data points. You can approximate a best-fitting line by graphing.
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
Example 3:
Use the equation of the line of fit from above to predict the number of alternative-fueled
vehicles in use in the US in 2010.
Section 2.6 – Draw Scatter Plots and Best Fitting Lines
Example 4:
Use the linear regression feature on a graphing calculator to find an equation of the best-fitting
line for the data in Example 3.
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