A line of best fit (or "trend" line) is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points. You can examine lines of best fit with: 1. paper and pencil only, 2. a combination of graphing calculator and paper and...
The line of best fit is described by the equation ŷ = bX + a, where b is the slope of the line and a is the intercept (i.e., the value of Y when X = 0). This calculator will determine the values of b and a for a set of data comprising two variables, and estimate the value of Y for any specified value of X.
Finding a Line of Best Fit Using Technology EXAMPLE 3 The table shows the durations x (in minutes) of several eruptions of the geyser Old Faithful and the times y (in minutes) until the next eruption. (a) Use a graphing calculator to find an equation of the line of best fit. Then plot the data and graph the equation in the same viewing window.
I have adored using the free Desmos Graphing Calculator in my lessons for a few years now, but have only recently discovered the power of Desmos Classroom Activities, which allow students to investigate, and you to monitor, record and facilitate collaboration and discussion. Line of Best Fit
equation of this line of best fit? a. y = x + 5 b. y = x + 25 c. y = 5x + 5 d. y = 5x + 25 Example 2: An airport terminal runs shuttle buses to different parts of the airport. The scatterplot shows the times for each part of the airport and a number of round trips. Which equation is closest to the line of best fit? a. = 3 5 +1 b. = 3 2 +1
EXAMPLE 2 Finding a Line of Best Fit Using Technology The table shows the worldwide movie ticket sales y (in billions of dollars) from 2000 to 2011, where x = 0 represents the year 2000. Use a graphing calculator to ﬁ nd an equation of the line of best ﬁ t. Identify and interpret the correlation coefﬁ cient.
Vertical/horizontal line segments can be easily modeled using equations — along with some simple restriction clauses. A line segment can also be drawn in Desmos using a table of points — provided that the two endpoints are known. If only one point on the line segment is known, then the segment can still be modeled using point-slope form.