AWhen creating a table, remember that the time is given in minutes.
BWhen the data points on the scatter plot lie close to a line, the scatter plot shows a linear association.
CCan you see any relationship between the data? How can you use it to predict the value?
AExample Table:
Time (min)
1
2
3
4
8
10
Number of Breaths
14
28
42
56
112
140
BExample Graph:
Example Association: The scatter plot shows a positive linear association between the number of minutes and the number of times a person breathes.
CAbout 350 times
Practice makes perfect
We want to make a table of the number of times a teenager breathes over time. To do so, we can use the given x-values of 1, 2, 3, 4, 8, and 10. We also know that a thirteen-year-old takes 14 breathes per minute. In this situation x represents time in minutes and y represents the number of times the teenager breathes. Let's make our table!
Time (min)
1
2
3
4
8
10
Number of Breaths
1( 14)=14
2( 14)=28
3( 14)=42
4( 14)=56
8( 14)=112
10( 14)=140
A scatter plot is a graph that shows the associations between two data sets. We want to construct a scatter plot of the number of times the teenager breathes over time. Let's start by looking at the table from Part A!
Time (min)
1
2
3
4
8
10
Number of Breaths
14
28
42
56
112
140
Now, we need to represent the data as ordered pairs (x,y), where x is the time in minutes and y is the number of breaths.
cc
(1,14) & (2,28) (3,42) & (4,56) (8,112) & (10,140)
Next, we can graph the ordered pairs on a coordinate plane.
We want to interpret the scatter plot we created. To do so, we can start by reviewing different patterns of associations between two data sets that can be shown using scatter plots.
We can see that the points lie close to a line. As the time increases, the number of breaths also increases. This means that the slope of the line is positive. Therefore, the scatter plot shows a positive linear association between the number of minutes and the number of times a person breathes.
We want to predict how many times a person would breathe in 25 minutes. To do so, we can follow the pattern until the x-value on the scatter plot from Part B is equal to 25. Let's do it!
We can see on the diagram that in 25 minutes, the person will breathe about 350 times. Notice that this is only our expectation based on the given data, and the real value could be different.
