Algebra 1 5-7 Complete Lesson: Scatter Plots and Trend Lines
By Matt Richardson
Last updated about 2 years ago
27 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
10
1.
Solve It! The table shows the number of digital albums downloaded per year and the number of CDs sold by manufacturers per year. What relationship exists between the two sets of data?
F.LE.5
10
2.
Solve It! Predict the number of CDs sold and the number of albums downloaded in 2010. Explain your reasoning.
S.ID.7
F.LE.5
10
3.
Problem 1 Got It? Make a scatter plot of the data in the table.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.
N.Q.1
10
4.
Problem 1 Got It? What type of relationship does the scatter plot you created in the previous item show?
S.ID.7
10
10
6.
Problem 2 Got It? Make a scatter plot of the data in the table. Draw a trend line and write its equation.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.
N.Q.1
S.ID.6.a
S.ID.6.c
10
7.
Problem 2 Got It? Use the trend line you drew in the previous item to predict the approximate body length of a 7-month-old panda.
S.ID.6.a
F.LE.5
10
8.
Problem 3 Got It? Use the equation of the line of best fit from Problem 3 to predict the cost of attending in the 2016-2017 academic year. You may use the embedded Desmos 4-function calculator above.
Include a dollar sign and round your answer to the nearest whole dollar.
S.ID.6.a
10
9.
Problem 3 Got It? Reasoning: What does the slope of the line of best fit in Problem 3 tell you about the rate of change in the cost?
S.ID.6.a
S.ID.7
F.LE.5
10
10.
Problem 4 Got It? In the following situation, is there likely to be a correlation? If so, does the correlation reflect a causal relationship? Explain.
the cost of a family's vacation and the size of their house
S.ID.7
S.ID.9
10
11.
Problem 4 Got It? In the following situation, is there likely to be a correlation? If so, does the correlation reflect a causal relationship? Explain.
the time spent exercising and the number of Calories burned
S.ID.7
S.ID.9
20
12.
Make a scatter plot of the data, draw an appropriate trend line, and write the equation of the trend line.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.
N.Q.1
S.ID.6.a
S.ID.6.c
10
13.
Consider your scatter plot and the data in the previous item. What type of relationship is shown?
S.ID.6.a
S.ID.7
10
14.
Consider your scatter plot and the data once more. Predict the average maximum daily temperature in January at a latitude of 50° N.
Choose the most reasonable prediction.
S.ID.6.a
F.LE.5
10
15.
Vocabulary: Given a set of data pairs, how would you decide whether to use interpolation or extrapolation to find a certain value?
10
16.
Compare and Contrast How are a trend line and the line of best fit for a set of data pairs similar? How are they different?
10
10
18.
Review Lesson 5-6: Write an equation of the line in slope-intercept form that passes through the given point and is parallel to the graph of the given equation.
10
19.
Review Lesson 5-6: Write an equation of the line in slope-intercept form that passes through the given point and is parallel to the graph of the given equation.
5
20.
Review Lesson 1-5: Find the absolute value.
Enter only a number.
5
21.
Review Lesson 1-5: Find the absolute value.
Enter only a number.
5
22.
Review Lesson 1-5: Find the absolute value.
Enter only a number.
5
23.
Review Lesson 1-5: Find the absolute value.
Enter only a number.
10
24.
Vocabulary Review: A scatter plot is a graph that relates two sets of data. Plot each ordered pair on the graph on the canvas to make a scatter plot.
10
25.
Use Your Vocabulary: Identify the correlation shown in each scatter plot above.
- positive correlation
- negative correlation
- no correlation
- Scatter Plot A
- Scatter Plot B
- Scatter Plot C
100
26.
Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.
For a refresher on the Cornell note-taking system, click here.
10
27.
Reflection: Math Success
S.ID.6.c