Functions, Equations, and Graphs

Ch. 2.5Using Linear Models

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Bell WorkGraph each equation.a) 3x + 5y = 12b) Y+3x=3What is the X and Y intercept of the following equation? c) 4x + 2y = 12

Using Linear ModelsREAD

When data from real world situations can be written as a set of ordered pairs, you can use various types of regression equations as models. The idea of correlation is addressed throughout the lesson. It is a common mistake to conclude that because two events are correlated, one must be the cause of the other. It is possible, however, for two events to be correlated, even strongly correlated, without one event causing the other.

It may be the cause that a third event is the common cause of the correlated events. For example, houses and milk do seem to cost more as time goes by. However, time itself does not cause these prices to go up; rather, other factors line inflation and demand, which change over time, are the causes.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Scatter Plotshttps://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-problem-solving-data-analysis/v/sat-math-q4-easier

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Using a Scatter PlotA scatter plot is a graph that relates two sets of data by plotting the data as ordered pairs. You can use a scatter plot to determine the strength of the relationship, or correlation, between data sets.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Using a Scatter Plot

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Using a Scatter Plot

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Using a Scatter Plot

Using a Scatter PlotNow you try…

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Writing the Equation of a Trend Line

Note- a trend line that gives the most accurate model of related data is the line of best fit.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Writing the Equation of a trend line

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Writing the Equation of a Trend Line

Now you try…

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Identifying FunctionsCenters (Practice with linear equations)

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

The Coconut problem

With your group, put your heads together and come to an agreement on the answer.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.

Sponge Activity• Partner Activity- Guess my rule

Closure(On your bell sheet)

Describe how you can use linear equations to model real-

world situations, and make predictions.

EQ: How can I write linear equations that model real-world data? I will write linear equations that model real-world data.