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Scatter Plots

Scatter Plots. Find the line of best fit. Focus 7 - Learning Goal #2: The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots. Scatter plots show relationships between two sets of data.

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Scatter Plots

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  1. Scatter Plots Find the line of best fit.

  2. Focus 7 - Learning Goal #2:The student will construct, interpret and identify patterns of associations for bivariate data displayed in two-way tables and scatterplots.

  3. Scatter plots show relationships between two sets of data. • If there is a relationship between the two sets of data, we need to draw in a “Line of Best Fit” • This is a line that is the line that comes closes to all of the dots on the graph. However, it does not touch all of the dots. • If the dots are close to the line, the graph has a strong correlation. • If the lines are further from the line, the graph has a weak correlation. Line of Best Fit

  4. Use the data on the price per ticket and how many tickets were sold to create a scatter plot. Create a Scatter Plot

  5. This is a scatter plot for ticket sales for a school play. • This shows the relationship between ticket price and how many tickets were sold. • Place a ruler on the graph. Try to get it to touch as many points as possible. Try to have an equal number of points above and below the line. • Then draw a line. • This is the “Line of Best Fit” for this graph. Is this a strong or weak correlation?

  6. What information do we need in order to write an equation of a line? • y = mx + b • We need a slope and a y intercept. • How do find the y-intercept? • Where does your line cross the y-axis? • About (0, 10) Write the equation of the line of best fit.

  7. How do we find slope? • Pick two points that touch the line that are far apart. • The ordered pairs are listed in your table of data. • (2, 8) & (10, 3) • 3 – 8 = 10 - 2 -5 8 Write the equation of the line of best fit.

  8. We have a y-intercept (0, 10). • We have a slope of -5/8. • We can substitute that information into the equation y = mx + b. • Remember m is the slope and b is the y-intercept. • The equation of the line of best fit is:y = -5/8x + 10 Write the equation of the line of best fit.

  9. The circus performs 10 times. Each time they keep data on the number of water bottles and lunch boxes sold. • Use the data provided to make a scatter plot. • Draw the line of best fit. • Write the equation of the line of best fit. Try it again…

  10. Draw the line of best fit. • Find the y-intercept. • About (0, 85) • Find the slope. • (20, 67) & (58, 34) • 34 – 67 = 58 – 20 • y = mx + b • y = -33/38x + 85 -33 38 Is this a strong or weak correlation? Write equation of line of best fit.

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