Algebra 1 5-7 Complete Lesson: Scatter Plots and Trend Lines

4.5 (1 rating)

by Matthew Richardson

| 27 QuestionsNote 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.

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2

1

10 pts

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?

2

10 pts

Solve It! Predict the number of CDs sold and the number of albums downloaded in 2010. Explain your reasoning.

3

10 pts

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.

4

10 pts

Problem 1 Got It? What type of relationship does the scatter plot you created in the previous item show?

positive correlation

negative correlation

no correlation

6

10 pts

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.

7

10 pts

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.

About 34.2 in.

About 21.8 in.

About 29.1 in.

About 24.4 in.

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9

8

10 pts

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.

9

10 pts

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?

10

10 pts

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

11

10 pts

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

12

20 pts

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.

13

10 pts

Consider your scatter plot and the data in the previous item. What type of relationship is shown?

Strong positive correlation

Positive correlation

Little to no correlation

Negative correlation

Strong negative correlation

14

10 pts

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.

About 10°F

About 20°F

About 30°F

About 40°F

15

10 pts

Vocabulary: Given a set of data pairs, how would you decide whether to use interpolation or extrapolation to find a certain value?

16

10 pts

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?

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18

10 pts

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.

y + 3 = 5(x - 2)

y = 5x - 13

y = -2x + 3

19

10 pts

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.

y = -x + 5

y = x + 9

y = 5x

20

5 pts

Review Lesson 1-5: Find the absolute value.

Enter only a number.

21

5 pts

Review Lesson 1-5: Find the absolute value.

Enter only a number.

22

5 pts

Review Lesson 1-5: Find the absolute value.

Enter only a number.

23

5 pts

Review Lesson 1-5: Find the absolute value.

Enter only a number.

24

10 pts

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.

25

10 pts

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

26

100 pts

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.

27

10 pts

Reflection: Math Success

Add to my formatives list

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