Line of Best Fit Classwork Linear Regression Line --- a best fitting line for a certain group of data that have been plotted. This allows you to make predictions about where other points would most likely fall. Example: Below is a table of asteroid names, their average distances from the sun (in millions of miles), and their orbital periods (the time it takes them, in years, to revolve around the sun). Question 1: About how long would it take an asteroid that is 230 million miles from the sun to make 1 revolution? Question 2: If an asteroid was discovered, and astronomers knew that its orbital period was almost exactly 4 years, about how far would you predict this asteroid to be from the sun? Asteroid Name Average Distance Orbital Period from the Sun Ceres 257.0 4.60 Pallas 257.4 4.61 Juno 247.8 4.36 Vesta 219.3 3.63 Astraea 239.3 4.14 Hebe 225.2 3.78 Iris 221.4 3.68 Flora 204.4 3.27 Metis 221.7 3.69 Hygeia 222.6 5.59 1. Make a scatterplot of the table above on your graphing calculator. 2. Graph the Linear Regression Equation in the form y = mx + b Answer to Question #1 It takes about ______ years for an asteroid that is 230 million miles from the sun to make one revolution. Answer to Question #2 above: An asteroid that has an orbital period of 4 years could be predicted to be about _______________ miles from the sun.
Line of Best Fit Classwork Linear Regression Line --- a best fitting line for a certain group of data that have been plotted. This allows you to make predictions about where other points would most likely fall. Example: Below is a table of asteroid names, their average distances from the sun (in millions of miles), and their orbital periods (the time it takes them, in years, to revolve around the sun). Question 1: About how long would it take an asteroid that is 230 million miles from the sun to make 1 revolution? Question 2: If an asteroid was discovered, and astronomers knew that its orbital period was almost exactly 4 years, about how far would you predict this asteroid to be from the sun? Asteroid Name Average Distance from the Sun Orbital Period Ceres 257.0 4.60 Pallas 257.4 4.61 Juno 247.8 4.36 Vesta 219.3 3.63 Astraea 239.3 4.14 Hebe 225.2 3.78 Iris 221.4 3.68 Flora 204.4 3.27 Metis 221.7 3.69 Hygeia 222.6 5.59 1. Make a scatterplot of the table above on your graphing calculator. 2. Graph the Linear Regression Equation in the form y = mx + b Answer to Question #1 It takes about ______ years for an asteroid that is 230 million miles from the sun to make one revolution. Answer to Question #2 above: An asteroid that has an orbital period of 4 years could be predicted to be about _______________ miles from the sun.
Algebra-1-Complete-Unit-3.docx