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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01c76c21-3c54-4bef-90ee-318d6556ce09%2Feb9f4f76-0139-44f1-9c19-aa448ce536c7%2F3xtjqab_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01c76c21-3c54-4bef-90ee-318d6556ce09%2Feb9f4f76-0139-44f1-9c19-aa448ce536c7%2Fla1vmdn_processed.jpeg&w=3840&q=75)
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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