Lines
As a shape, the line is abundant in our world. It surrounds us. It's formed by the exhaust from a plane, the borders of a doorway, the incline of a ramp. Today you will be challenged to find other ways in which lines appear in the real world.
Linear Regression
Watch the following video and answer the following questions about the video.
[1] "Intro to Linear Regression"
1. Which graphs can be represented using a line in the video?
2. What are the axes of the scatter plot that is represented using a line? What is this scatter plot a graph of? What is the relation of the scatter plot?
3. What do the constants in the equation for the linear regression mean? Do these relate to the constants we have already used to describe lines? Does it matter what letters are used for these constants?
Lines Among Us
Find five linear graphs online of scientific studies, business trends, or any other kind of trend. For each line, answer the following:
1. What trend is being graphed using this linear graph? Why does this trend follow a linear trend?
2. What is the slope of the line? What does the slope mean in the real-world context of this graph?
3. What is the y-intercept of the line? What could the y-intercept mean in the real-world context of this graph?
4. What is the root of the line? What does the root mean in the real-world context of this graph?
5. What is the relation of this graph?
Reflection
What can lines be used for in real-world contexts?