Algebra 1 5-7 Guided Practice: Scatter Plots and Trend Lines

10

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? In other words, as the number of downloads increases, is there a predictable change in the other?

10

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

10

Take Note: What is a scatter plot ? You may use the canvas to help illustrate your written response.

10

Take Note: What is a positive correlation ? Name two real-life quantities that are positively correlated.

10

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.

10

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

10

Problem 1 Got It? Reasoning: Consider the population of a city and the number of letters in the name of the city. Would you expect a positive correlation, a negative correlation, or no correlation between the two sets of data?

10

Take Note: What is a trend line ? You may use the canvas to help illustrate your written response.

10

Take Note: What is interpolation ? You may use the canvas to help illustrate your written response.

10

20

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.

10

Problem 2 Got It? Using the trend line you drew in the previous item, respond to each item on the right with the correct item from the left.

About 21.8 in.
About 24.4 in.
About 29.1 in.
About 34.2 in.
interpolation
extrapolation

Predict the approximate body length of a 7-month-old panda.
Since 7 months is within the given data set, this prediction is an example of _______.

10

Take Note: Define line of best fit. You may use the canvas to help illustrate your written response.

10

Take Note: What does it mean if the correlation coefficient of a data set is close to 1? You may use the canvas to help illustrate your written response.

10

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.

10

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

Take Note: What is causation ?

10

Take Note: Describe a real-life example in which a change in one quanitity causes a change in another quantity.

20

Problem 4 Got It? Consider the situations in the left column below. Categorize each situation appropriately. Some situations belong in two categories.

the color of a person's socks and the amount of time she spends playing checkers
the cost of a family's vacation and the size of their house
the time spent exercising and the number of Calories burned

Little or no correlation
A correlation is likely
Not a causal relationship
A causal relationship is likely

10

Algebra 1 5-7 Guided Practice: Scatter Plots and Trend Lines

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? In other words, as the number of downloads increases, is there a predictable change in the other?

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

Take Note: What is a scatter plot ? You may use the canvas to help illustrate your written response.

Take Note: What is a positive correlation ? Name two real-life quantities that are positively correlated.

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.

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

Problem 1 Got It? Reasoning: Consider the population of a city and the number of letters in the name of the city. Would you expect a positive correlation, a negative correlation, or no correlation between the two sets of data?

Take Note: What is a trend line ? You may use the canvas to help illustrate your written response.

Take Note: What is interpolation ? You may use the canvas to help illustrate your written response.

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.

Problem 2 Got It? Using the trend line you drew in the previous item, respond to each item on the right with the correct item from the left.

Take Note: Define line of best fit. You may use the canvas to help illustrate your written response.

Take Note: What does it mean if the correlation coefficient of a data set is close to 1? You may use the canvas to help illustrate your written response.

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.

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?

Take Note: What is causation ?

Take Note: Describe a real-life example in which a change in one quanitity causes a change in another quantity.

Problem 4 Got It? Consider the situations in the left column below. Categorize each situation appropriately. Some situations belong in two categories.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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? In other words, as the number of downloads increases, is there a predictable change in the other?

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

Take Note: What is a scatter plot ? You may use the canvas to help illustrate your written response.

Take Note: What is a positive correlation ? Name two real-life quantities that are positively correlated.

Take Note: What is a negative correlation ? Name two real-life quantities that are negatively correlated.

Take Note: What does it mean if two quantities have no correlation ? Name two real-life quantities that have little or no correlation.

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.

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

Problem 1 Got It? Reasoning: Consider the population of a city and the number of letters in the name of the city. Would you expect a positive correlation, a negative correlation, or no correlation between the two sets of data?

Take Note: What is a trend line ? You may use the canvas to help illustrate your written response.

Take Note: What is interpolation ? You may use the canvas to help illustrate your written response.

Take Note: What is extrapolation ? You may use the canvas to help illustrate your written response.

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.

Problem 2 Got It? Using the trend line you drew in the previous item, respond to each item on the right with the correct item from the left.

Take Note: Define line of best fit. You may use the canvas to help illustrate your written response.

Take Note: What is a correlation coefficient ? You may use the canvas to help illustrate your written response.

Take Note: What does it mean if the correlation coefficient of a data set is close to 1? You may use the canvas to help illustrate your written response.

Take Note: What does it mean if the correlation coefficient of a data set is close to 0? You may use the canvas to help illustrate your written response.

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.

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?

Take Note: What is causation ?

Take Note: Describe a real-life example in which a change in one quanitity causes a change in another quantity.

Problem 4 Got It? Consider the situations in the left column below. Categorize each situation appropriately. Some situations belong in two categories.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: What is a negative correlation ? Name two real-life quantities that are negatively correlated.

Take Note: What does it mean if two quantities have no correlation ? Name two real-life quantities that have little or no correlation.

Take Note: What is extrapolation ? You may use the canvas to help illustrate your written response.

Take Note: What is a correlation coefficient ? You may use the canvas to help illustrate your written response.

Take Note: What does it mean if the correlation coefficient of a data set is close to 0? You may use the canvas to help illustrate your written response.

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.

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.

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.

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.

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.

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.