To write linear equations that model real-world data To make predictions from linear models
Scatter Plot – graph that relates two sets of data by plotting the data as ordered pairs Correlation – strength of the relationship between data sets Correlation Coefficient r – indicates strength of correlation
Positive Correlation r is closer to 1 Negative Correlation r is closer to -1 No Correlation r is closer to 0
Line of Best Fit – the trend line that gives the most accurate model of related data To write the equation of the line: Find slope of the line Use the slope and a point to write an equation of the line
1. a. Make a scatter plot b. Sketch a line of best fit c. What is the correlation? d. What is the equation for the line of best fit?
2. Using #1’s linear model, predict what your test score will be if you spend 10 hours on the computer daily. y = -8.3x + 100 y = -8.3(10) + 100 y = -83 + 100 y = 17 17%!! Spend more time studying and less time on the computer!!
The table shows population and licensed driver from a recent year. a. Make a scatter plot b. Sketch a line of best fit c. Is the correlation strong or weak? Explain.