MM2D2. Students will determine an algebraic model to quantify the association between two quantitative variables.
a. Gather and plot data that can be modeled with linear and quadratic functions.
b. Examine the issues of curve fitting by finding good linear fits to data using simple methods such as the median-median line and "eyeballing."
c. Understand and apply the processes of linear and quadratic regression for curve fitting using appropriate technology.
d. Investigate issues that arise when using data to explore the relationship between two variables, including confusion between correlation and causation. Finding the Line of Best Fit
The ordered pairs of ( x,y)give the amount of money,y in hundreds of a mall, x, hours after opening. Find the best fitting line for the data.
(1,3) (2,4) ( 3,6) (4,8) ( 5,11) (6,6) (7,12)
Step1:Draw a sactter plot of the data.
Step2:Sketch a line of best fit.
Step3:Choose two points on the line.
Step4:Write the equation using (2.4), (4,8)
M= 8-4 = 4 = 2
4-2 2
y-y=m(x-x)
Y-4=2(x-2)
Y=2x-4+4= Y=2x
MM2D2. Students will determine an algebraic model to quantify the association between two quantitative variables.
a. Gather and plot data that can be modeled with linear and quadratic functions.
b. Examine the issues of curve fitting by finding good linear fits to data using simple methods such as the median-median line and "eyeballing."
c. Understand and apply the processes of linear and quadratic regression for curve fitting using appropriate technology.
d. Investigate issues that arise when using data to explore the relationship between two variables, including confusion between correlation and causation.
Finding the Line of Best Fit
The ordered pairs of ( x,y)give the amount of money,y in hundreds of a mall, x, hours after opening. Find the best fitting line for the data.
(1,3) (2,4) ( 3,6) (4,8) ( 5,11) (6,6) (7,12)
Step1:Draw a sactter plot of the data.
Step2:Sketch a line of best fit.
Step3:Choose two points on the line.
Step4:Write the equation using (2.4), (4,8)
M= 8-4 = 4 = 2
4-2 2
y-y=m(x-x)
Y-4=2(x-2)
Y=2x-4+4= Y=2x