Scatterplots line of best fit trend line interpolation extrapolation The three scatterplots below show the types of relationships two sets of data may have. If you are given a scatterplot, or data that would create a scatterplot (as opposed to a linear model), you can’t make a perfect linear equation touching all of the points. Instead, you find a __________________________ or a ___________________. You can write an equation of that line. This allows you to estimate approximate values within the data set, between known observations (__________________) or make predictions outside of the data set, beyond the original observation interval (_______________________). 1. Use the scatterplot below. Assume the scales on each axis are one unit per tick mark. Which of the equations would most accurately represent the line of best fit for the data? y = -2x + 10 y = 2x + 10 y = -2x – 10 y = 2x - 10 line of best fit trend line interpolation extrapolation 2. The scatterplot represents tips earned (in dollars) and time worked (in hours). Based on a linear model of the data, which is the best prediction for the amount of tips earned in 5 hours of work? E. $2 F. $15 G. $23 H. $31

Scatterplots Correlation Linear Non-Linear Strong Moderate Weak