SOL A.11 Lines and Curves of Best Fit
What is a Line of Best Fit? __________________________________________________________
Match an equation:
Example 1: Which equation best describes the line of best fit for this data?
Your Turn: Which equation best describes the line of best fit for this data?
Calculator Directions and Example 1:
The students in Mr. Santos’ class were asked to record the number of hours
spent studying for their mathematics test. For each student, Mr. Santos
wrote an ordered pair (x,y). The value of x represented the number of
hours of study and the value of y was the student’s mark on the test.
Marsha’s ordered pair was (3, 82) because she spent 3 hours studying and
received a final mark of 82 out of 100. The set of ordered pairs which Mr.
Santos recorded are shown below.
(3.0, 82)
(2.5, 71)
(1.5, 73)
(2.6, 75)
(1.4, 48)
(1.0, 47)
(5.5, 78)
Step 2
Step 4
Step 5
The equation to the line of best fit is:__________________________
Now, Predict a value!!!!
What would a student who studied 5 hours expect to get on the test?______
What would a student who studied 10 hours expect to get on the test?______
If you got a 100 on the test, about how many hours did you study?______
(Solve for x)
Example 2:
Quadratic Curve of Best Fit:
What is it?
Height of a Tossed Ball
Example: Create the following lists and then use the QuadReg (quadratic regression) function to
find a model equation.
L1: 30, 35, 40, 40, 45, 50, 55, 60, 65, 65, 70
L2: 18, 20, 23, 25, 25, 28, 30, 29, 26, 25, 25
What is the equation of the curve of best fit? _______________
Predict y if x= 75 _________________
Example 3:
Example 4:
(Make a Table)