Lesson 4.3: Use Linear Models to Make Predictions

Lesson 4.3

​Use Linear Models to Make Predictions

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I can make a prediction by using the equation of a line that closely fits a set of data.

Essential Question: How do linear models helps you make a prediction?

​Definitions:

Slope: The slope, or constant rate of change, is the “steepness” of a line that is often known as the “rise over run”. We can find the slope by finding the change in the y axis over (divided by) the change in the x axis. Slope is often represented by the variable “m”.

Y-Intercept: The y-intercept, or initial value, is the point on the line that crosses the y-axis. The y-intercept will be written as a coordinate (0,y) where y is the y coordinate that passes the through the y-axis. The y-intercept is represented by the variable “b”.

Slope Intercept Form: Slope Intercept Form is a formula,

Y = mx + b

Subject | Subject

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Explanation

​Step 1: Use the slope to make a prediction

Step 2: Use the scatter plot to make a prediction.
Step 3: Use the trendline to interpret the slope and y-intercept.

​Ex: In your notes identify the slope and Y-Intercept of the line:

Multiple Choice

What is the y-intercept?

• -2

• 2

• 1

• -1

Multiple Choice

What is the y-intercept of the line?

• (-5,0)

• (0,-5)

• (7,0)

• (0,7)

Multiple Choice

Approximately what is the local index in 1906

• 20

• 40

• 65

• 90

Multiple Choice

What will y equal when x equals 2?

• y = 8

• y = -9

• y = 3

• y = 2

​In your notes: What is the equation of the line?

Multiple Choice

This line has slope - $$\frac{4}{5}$$   and y intercept of 3. What is the equation of the line?

• $$-\frac{4}{5}=\ 3x\ +\ b$$  

• $$y\ =\ -\frac{4}{5}x\ +\ 3$$  

• $$y\ =\ 3x\ -\ \frac{4}{5}$$  

• $$3\ =\ mx\ -\ \frac{4}{5}$$  

​Conclusion: In your notes, Write two complete sentences about what you learned.