Algebra 2 2-5 Using Linear Models

Solve It! The graph shows the number of hours and the amount of money you earned each day last week.

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How many hours should you work to earn $200? Enter only a number. Your response is only an approximation based on the trend of the data in the graph.

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Problem 1 Got It? The table shows the numbers of hours students spend online the day before a test and the scores on the test. Make a scatterplot of these data on the canvas. Use colors that stand out and include all relevant graph detail.

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Problem 1 Got It? How would you describe the correlation between the variables in the table?

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Problem 1 Got It? Now use the embedded Desmos graphing utility below to plot the same data. 

Click the + button and add a table.
Input the hours from the table into the x₁ column.
Input the test scores from the table into the y₁ column.
Zoom and pan your graph to establish a suitable viewing window. (You may use the wrench button for fine tuning.)
Take a screenshot of your scatterplot.

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Problem 1 Got It? Upload the screenshot you took of your scatterplot to the canvas.

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Problem 1 Got It? Reasoning: Using the graph from Problem 1, how much would you expect to pay for electricity if the average temperature was 70°F? Explain.

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Problem 2 Got It?

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Describe the correlation in the data represented in the scatter plot below.

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Make a scatter plot of the set of points.

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Describe the correlation in the data you graphed in the previous item.

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The set {(2, 58), (6, 105), (8, 88), (8, 118), (12, 117), (16, 137), (20, 157), (20, 169)} is graphed below.
Sketch a trend line to model the data.

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Writing: How can you determine whether two variables x and y for a real-life situation are correlated?

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Analysis: Do you think a trend line on a graph is always the same as the line of best fit? Why or why not?

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Compare and Contrast: What is the difference between a positive correlation and a negative correlation?
How might you relate positive correlation with direct variation?

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Review Lesson 2-3: Graph the following linear equations in the indicated colors on the same coordinate plane using the embedded graphing utility. Zoom and pan your graph to leave an appropriate scale and viewing window that includes all three lines.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

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Review Lesson 2-4: Match each slope/point pair with its equation written in standard form.

slope = 2; (2, 6)
slope = -1; (-3, 3)
slope = 0; (0, 2)

-2x + y = 2
y = 2
x + y = 0

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Vocabulary Review: Indicate the set(s) of data that you can model with a linear function.

3, 6, 9, 12,...
amount of rain each day of the week
birthdays of your classmates

Can be modeled with a linear function

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Vocabulary Review: Indicate the graphs that do NOT show a linear function.

Do NOT show a linear function

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Use Your Vocabulary: Indicate the correlation that most closely represents each situation.

The image below may be helpful:.

Positive correlation
Negative correlation
No correlation

the age of a used car and the car's value
the color of your hair and the weather in Venezuela

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Reflection: Math Success

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Algebra 2 2-5 Using Linear Models

How many hours should you work to earn $200? Enter only a number. Your response is only an approximation based on the trend of the data in the graph.

Problem 1 Got It? The table shows the numbers of hours students spend online the day before a test and the scores on the test. Make a scatterplot of these data on the canvas. Use colors that stand out and include all relevant graph detail.

Problem 1 Got It? How would you describe the correlation between the variables in the table?

Problem 1 Got It? Upload the screenshot you took of your scatterplot to the canvas.

Problem 1 Got It? Reasoning: Using the graph from Problem 1, how much would you expect to pay for electricity if the average temperature was 70°F? Explain.

Problem 2 Got It?

Describe the correlation in the data represented in the scatter plot below.

Make a scatter plot of the set of points.

Describe the correlation in the data you graphed in the previous item.

The set {(2, 58), (6, 105), (8, 88), (8, 118), (12, 117), (16, 137), (20, 157), (20, 169)} is graphed below. Sketch a trend line to model the data.

Writing: How can you determine whether two variables x and y for a real-life situation are correlated?

Analysis: Do you think a trend line on a graph is always the same as the line of best fit? Why or why not?

Compare and Contrast: What is the difference between a positive correlation and a negative correlation? How might you relate positive correlation with direct variation?

Review Lesson 2-3: Graph the following linear equations in the indicated colors on the same coordinate plane using the embedded graphing utility. Zoom and pan your graph to leave an appropriate scale and viewing window that includes all three lines.

Review Lesson 2-4: Match each slope/point pair with its equation written in standard form.

Vocabulary Review: Indicate the set(s) of data that you can model with a linear function.

Vocabulary Review: Indicate the graphs that do NOT show a linear function.

Use Your Vocabulary: Indicate the correlation that most closely represents each situation. The image below may be helpful:.

Reflection: Math Success

How many hours should you work to earn $200? Enter only a number. Your response is only an approximation based on the trend of the data in the graph.

What assumptions did you make to find your answer? Explain.

Problem 1 Got It? The table shows the numbers of hours students spend online the day before a test and the scores on the test. Make a scatterplot of these data on the canvas. Use colors that stand out and include all relevant graph detail.

Problem 1 Got It? How would you describe the correlation between the variables in the table?

Problem 1 Got It? Upload the screenshot you took of your scatterplot to the canvas.

Problem 1 Got It? Reasoning: Using the graph from Problem 1, how much would you expect to pay for electricity if the average temperature was 70°F? Explain.

Problem 2 Got It?

Problem 3 Got It? Consider using the embedded Desmos graphing utility above.

Describe the correlation in the data represented in the scatter plot below.

Make a scatter plot of the set of points.

Describe the correlation in the data you graphed in the previous item.

The set {(2, 58), (6, 105), (8, 88), (8, 118), (12, 117), (16, 137), (20, 157), (20, 169)} is graphed below. Sketch a trend line to model the data.

Writing: How can you determine whether two variables x and y for a real-life situation are correlated?

Analysis: Do you think a trend line on a graph is always the same as the line of best fit? Why or why not?

Compare and Contrast: What is the difference between a positive correlation and a negative correlation? How might you relate positive correlation with direct variation?

Review Lesson 2-3: Graph the following linear equations in the indicated colors on the same coordinate plane using the embedded graphing utility. Zoom and pan your graph to leave an appropriate scale and viewing window that includes all three lines.

Review Lesson 2-4: Match each slope/point pair with its equation written in standard form.

Vocabulary Review: Indicate the set(s) of data that you can model with a linear function.

Vocabulary Review: Indicate the graphs that do NOT show a linear function.

Use Your Vocabulary: Indicate the correlation that most closely represents each situation. The image below may be helpful:.

Reflection: Math Success

The set {(2, 58), (6, 105), (8, 88), (8, 118), (12, 117), (16, 137), (20, 157), (20, 169)} is graphed below.
Sketch a trend line to model the data.

Compare and Contrast: What is the difference between a positive correlation and a negative correlation?
How might you relate positive correlation with direct variation?

Use Your Vocabulary: Indicate the correlation that most closely represents each situation.

The image below may be helpful:.

The set {(2, 58), (6, 105), (8, 88), (8, 118), (12, 117), (16, 137), (20, 157), (20, 169)} is graphed below.
Sketch a trend line to model the data.

Compare and Contrast: What is the difference between a positive correlation and a negative correlation?
How might you relate positive correlation with direct variation?

Use Your Vocabulary: Indicate the correlation that most closely represents each situation.

The image below may be helpful:.