Think of two quantities that increase or decrease in unison — at the same time.
B
Think of two quantities that are not connected to each other.
A
Example Solution: Our time spent walking and the distance covered.
B
Example Solution: The number of pizza slices we eat and the number of contestants who move onward in a music competition on TV each week.
Practice makes perfect
We want to find an example of a real situation of a positive linear relationship. First, let's recall when the relationship is positive.
Positive Relationship
As the value of one quantity increases, the value of the other quantity also increases.
If we take a stroll, the longer we walk the greater the distance we traveled becomes. Additionally, our walking pace tends to be approximately the same. Let's take a look at the example scatter plot of these two quantities.
This means that the relationship between the time of a walk and the walked distance is positive. Also, the points lie close to a line, so the relationship is linear. Notice that we can think of many more real life examples of a strong positive relationship.
This time we want to find an example of real situation of no relationship.
No Relationship
As the value of one quantity increases, the value of the other quantity is not affected by it. The quantities are not connected to each other.
Think about pizza and contestants who make it to the next round of a music competition on TV each week. Let's imagine that we made pizza for dinner. When we take and eat a slice of pizza, the number of pizza slices decreases. However, the number of slices eaten is not related to the number of contestants who make it to the next round. Let's analyze an example scatter plot for this situation.
There is no relationship between the number of pizza slices we eat and the number of contestants who make it to the next round of a singing competition. There are so many more situations we can think of that fit this no relationship scenario!
