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REVIEW Find the slope of the following ordered pairs. Round to 2 decimal places. (1995, 22.5) and (2011, 47.25) (13, 175) and (52, 700) Write the equation of the line given two points. (2, 1070) and (9, 4290). Warm Up Mar . 2 nd.
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REVIEW • Find the slope of the following ordered pairs. Round to 2 decimal places. • (1995, 22.5) and (2011, 47.25) • (13, 175) and (52, 700) • Write the equation of the line given two points. • (2, 1070) and (9, 4290) Warm Up Mar. 2nd
Definition: A scatter plot is a graph of ordered pairs. • They may not form a straight line, but we can look for a pattern (correlation). • 3 Types of Correlation: 5.7 Scatter Plots and Lines of Best Fit
Determine whether each graph shows a positive, negative or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. • 1. Correlation: • __________________ • Meaning: _____________ • __________________ • __________________ • __________________ Analyze Scatter Plots
2. 3. Analyze Scatter Plots (cont.)
Definition: A line of best fit is a line that describes the trend of the data. • It tries to split the points down the middle. Also referred to as the “best-fit line”. • Examples: Write the equation for the line of best fit. • 1. Line of Best Fit
Draw a scatter plot and determine what relationship exists for the data. • Write the slope-intercept • form of an equation for • the line of best fit. Line of Best Fit (cont.)
Use the table that shows the average body temperature in Celsius of 9 insects at a given air temperature. • Write the slope-intercept form of an equation for the line of best fit. You Try!
Examples: • Using the equation of the line of fit for the Bald Eagle data, estimate the number of bald eagle pairs in 1998. Using the Line of Best Fit & Predictions
Using the equation of the line of fit for the temperature data, predict the air temperature if an insect has a body temperature of 40 degrees. Examples (cont.)
The table gives the number of carbon atoms and the boiling points for several hydrocarbons. • Write the slope-intercept • form of the line of best fit. • 2. Predict the boiling point for • Methane (CH4) which has 1 • carbon atom. • 3. The boiling point of heptane is 98.4 degrees. Predict the number of carbon atoms in heptane. You Try!
5.7 Worksheet Homework