Complete the following questions to practice the skills you have learned in this lesson.
Use graphing technology to create a scatter plot and find the best fit line.
- What does the best fit line estimate for the -value when is 100?
83 | 102 |
87 | 115 |
91 | 107 |
93 | 122 |
97 | 125 |
97 | 127 |
101 | 120 |
104 | 127 |
-
120
-
150
-
125
-
100
- A seed is planted in a glass pot, and its height is measured in centimeters every day.
The best fit line is given by the equation , where represents the height of the plant above ground level, and represents the number of days since it was planted.
What is the slope of the best fit line? What does the slope of the line mean in this situation?
-
The slope is 0.404, which means the plant grows 1 centimeter every 0.404 days.
-
The slope is -5.18, which means for every day, the plant shrinks -5.18 centimeters.
-
The slope is 0.404, which means for every day, the plant grows 0.404 centimeters.
-
The slope is 5.18, which means for every day, the plant grows 5.18 centimeters.
Use the following information to answer questions 3 - 5.
The scatter plots below show different lines that students used to model the relationship between body mass (in pounds) and bite force (in pounds) for crocodiles.
Match each graph to one of the equations below, and explain your reasoning. Let represent bite force (in pounds) and represent body mass (in pounds).
![]()
![]()
![]()
- Which graph represents data that could be modeled by the equation, ?
-
Line 3
-
Line 2
-
Line 1
- Which graph represents data that could be modeled by the equation, ?
-
Line 3
-
Line 2
-
Line 1
- Which graph represents data that could be modeled by the equation, ?
-
Line 3
-
Line 2
-
Line 1
- Mike owns a grass cutting business. The table below shows how many yards, , he can cut in days.
Number of days, x | 1 | 2 | 3 | 4 |
---|---|---|---|---|
Number of yards cut, Y | 6 | 12 | 18 | 24 |