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Darla's parents kept track of her height on her birthday every year from ages two through eight. The graph shows the measurements as a time series. 120 100 80- 60 40 Height (cm)

Darla's parents kept track of her height on her birthday every year from ages two through eight. The graph shows the measurements as a time series. 120 100 80- 60 40 Height (cm)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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9. a) How accurate do you think this estimate is? Explain.
    b) Will this trend continue forever? Why or why not?

10. Compare the two lines of best fit that you drew in this investigation.
      a) Was one easier to draw than the other?

      b) Was one a better model for the data than the other? Justify your answers.

Please answer questions 1-10 thank you. 

Action! Investigate Line of Best Fit Materials Darla's parents kept track of her height on her birthday every year from ages two through eight. The graph shows the measurements as a time series. • transparent ruler 120 100 Literacy Link 80- A time series is a set of two-variable data in which a quantity is measured against time. 60 40 6 8 10 Age (years) Literacy Link 1. Identify the independent and dependent variables. How do you know? An independent variable is a not affected by another variable. A dependent variable is affected by another variable. 2. Does there appear to be a relationship between Darla's height and her age? If so, describe it. Height (cm)
Transcribed Image Text:Action! Investigate Line of Best Fit Materials Darla's parents kept track of her height on her birthday every year from ages two through eight. The graph shows the measurements as a time series. • transparent ruler 120 100 Literacy Link 80- A time series is a set of two-variable data in which a quantity is measured against time. 60 40 6 8 10 Age (years) Literacy Link 1. Identify the independent and dependent variables. How do you know? An independent variable is a not affected by another variable. A dependent variable is affected by another variable. 2. Does there appear to be a relationship between Darla's height and her age? If so, describe it. Height (cm)
3. a) Sketch the graph and draw a line of best fit. line of best fit b) Does it make sense to draw a solid or a dashed line in this case? •a straight line that represents a trend in the scatter plot as long as the pattern is more or less linear Explain why. 4. Extend the line to answer the following questions. a) How tall will Darla be at age 10? • should pass through as many points as possible, with about half the points above and half below the line b) Estimate Darla's height when she was a newborn. 5. Reflect a) How accurate do think these estimates are? Explain. you b) Will this trend continue forever? If not, when will this linear model no longer be useful? Explain your reasoning. Darla's parents also kept track of the number of baby teeth she still had, except for one year when they forgot. The data, collected on her birthdays, are shown. •a solid line represents continuous data that are constantly changing •a dashed line represents discrete data that change only in steps 18 6. Identify the independent and dependent variables. 16 14- Literacy Link 7. Does there appear to be a correlation between the number of baby teeth Darla had and her age? If so, describe it. Interpolation and extrapolation are important tools for two- variable data analysis. To interpolate, read a linear model between given data points, To extrapolate, read beyond given data points. 12- 10 8- 8. a) Sketch the graph and draw a line of best fit. 618 Age (years) b) Does it make sense to draw a solid or a dashed line in this case? Explain why. c) Use the line to estimate how many baby teeth Darla had on her sixth birthday. Baby Teeth 20
Transcribed Image Text:3. a) Sketch the graph and draw a line of best fit. line of best fit b) Does it make sense to draw a solid or a dashed line in this case? •a straight line that represents a trend in the scatter plot as long as the pattern is more or less linear Explain why. 4. Extend the line to answer the following questions. a) How tall will Darla be at age 10? • should pass through as many points as possible, with about half the points above and half below the line b) Estimate Darla's height when she was a newborn. 5. Reflect a) How accurate do think these estimates are? Explain. you b) Will this trend continue forever? If not, when will this linear model no longer be useful? Explain your reasoning. Darla's parents also kept track of the number of baby teeth she still had, except for one year when they forgot. The data, collected on her birthdays, are shown. •a solid line represents continuous data that are constantly changing •a dashed line represents discrete data that change only in steps 18 6. Identify the independent and dependent variables. 16 14- Literacy Link 7. Does there appear to be a correlation between the number of baby teeth Darla had and her age? If so, describe it. Interpolation and extrapolation are important tools for two- variable data analysis. To interpolate, read a linear model between given data points, To extrapolate, read beyond given data points. 12- 10 8- 8. a) Sketch the graph and draw a line of best fit. 618 Age (years) b) Does it make sense to draw a solid or a dashed line in this case? Explain why. c) Use the line to estimate how many baby teeth Darla had on her sixth birthday. Baby Teeth 20
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