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Graphing Review. Introduction. Line graphs compare two variables. Each variable is plotted along an axis. A line graph has a vertical axis and a.

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Smith Name ______________________________
Biology
Page 1
Graphing Review
Introduction
Line graphs compare two variables. Each variable is plotted along an axis. A line graph has a vertical axis and a
horizontal axis. For example, if you wanted to graph the height of a ball after you have thrown it, you would put time
along the horizontal, or x-axis, and height along the vertical, or y-axis.
Line graphs are important in science for several reasons such as:
showing specific values of data. If one variable is known, the other can be determined.
showing trends and relationships in data clearly. They visibly depict how one variable is affected by the other as
it increases or decreases.
allowing the viewer to make predictions within recorded data, called interpolation, and to make predictions
about data not yet recorded, called extrapolation.
Interpolation vs. Extrapolation
Determine which of the examples below is interpolation and which is extrapolation. Explain why.
1. The value of Sarah’s car in 2004 was $17,500. ______________________________________________________
2. The value of Sarah’s car in 2008 was $1,900. _______________________________________________________
How to Construct a Line Graph:
1. Identify the Variables & Label the Axes
a. Independent Variable factor that is varied in an experiment and specifically controlled by the
experimenter
i. Label along the x-axis (horizontal) include units
ii. Typically found on the left side of a data table
b. Dependent Variable factor that is measured in an experiment and will change as a result of the
independent variable
i. Label along the y-axis (vertical) include units
ii. Typically found on the right side of a data table
2. Determine the Graph Scale
a. Determine the magnitude (numeric value) of each variable
b. Establish a scale that best fits the range of each variable
c. Spread the graph to use the MOST available space (use at least ¾ of the graph)
d. Be consistent throughout each axes’ scale
3. Plot the data points
a. Plot each data value on the graph with a dot
b. If multiple sets of data are being plotted, use different colored lines and include a key
Independent vs. Dependent Variable Practice
A student wanted to observe how changing the temperature of the aquarium water would
affect the breathing rate of his goldfish.
o
What is the independent variable? ___________________________________________
o
What is the dependent variable? ____________________________________________
A student wanted to determine how tall corn would grow if different types of fertilizer were
used.
o
What is the independent variable? ___________________________________________
oWhat is the dependent variable? ____________________________________________
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Biology

Graphing Review

Introduction

Line graphs compare two variables. Each variable is plotted along an axis. A line graph has a vertical axis and a horizontal axis. For example, if you wanted to graph the height of a ball after you have thrown it, you would put time along the horizontal, or x-axis, and height along the vertical, or y-axis.

Line graphs are important in science for several reasons such as:

 showing specific values of data. If one variable is known, the other can be determined.  showing trends and relationships in data clearly. They visibly depict how one variable is affected by the other as it increases or decreases.  allowing the viewer to make predictions within recorded data, called interpolation , and to make predictions about data not yet recorded, called extrapolation.

Interpolation vs. Extrapolation

Determine which of the examples below is interpolation and which is extrapolation. Explain why.

  1. The value of Sarah’s car in 2004 was $17,500. ______________________________________________________
  2. The value of Sarah’s car in 2008 was $1,900. _______________________________________________________

How to Construct a Line Graph:

  1. Identify the Variables & Label the Axes a. Independent Variable – factor that is varied in an experiment and specifically controlled by the experimenter i. Label along the x-axis (horizontal) – include units ii. Typically found on the left side of a data table b. Dependent Variable – factor that is measured in an experiment and will change as a result of the independent variable i. Label along the y-axis (vertical) – include units ii. Typically found on the right side of a data table
  2. Determine the Graph Scale a. Determine the magnitude (numeric value) of each variable b. Establish a scale that best fits the range of each variable c. Spread the graph to use the MOST available space (use at least ¾ of the graph) d. Be consistent throughout each axes’ scale
  3. Plot the data points a. Plot each data value on the graph with a dot b. If multiple sets of data are being plotted, use different colored lines and include a key

Independent vs. Dependent Variable Practice  A student wanted to observe how changing the temperature of the aquarium water would affect the breathing rate of his goldfish. o What is the independent variable? ___________________________________________ o What is the dependent variable? ____________________________________________  A student wanted to determine how tall corn would grow if different types of fertilizer were used. o What is the independent variable? ___________________________________________ o What is the dependent variable? ____________________________________________

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Biology

  1. Draw the Graph a. DO NOT connect the dots unless specifically told to do so b. Draw one of the following types of graphs: i. Best fit Straight Line

ii. Best fit Curved Line

iii. Best fit Peak Line

  1. Title the Graph a. Titles are used to clearly portray what the graph is about so be specific. b. Titles are typically written as “Y-axis variable” vs. “X-axis variable” and are written at the top of the graph.
CONSTANT
RELATIONSHIP

-Change in one variable has no effect on the other

DIRECT RELATIONSHIP

-Both variables increase together

Graphing information can be found in your textbook on pages 1099 – 1101.

INDIRECT RELATIONSHIP

-As one variable increases, the other decreases

Shows an optimum

Example : Think back to the goldfish experiment. The appropriate title for that graph would be The Breathing Rate of Goldfish vs. The Temperature of Water.

Biology

Practice Problem

Background: Clams were placed into various temperatures of water. Use the information in the data table below in order to create a proper scientific graph and to answer the corresponding questions.

Water Temperature (°C) Number of Developing Clams 15 72 20 92 25 120 30 140 35 99 40 72 45 36 50 0

  1. What is the dependent variable? ________________________________________________________________
  2. What is the independent variable? _______________________________________________________________
  3. What is the optimum temperature for clam development? ___________________________________________
  4. What is the mean number of clams per sample? ____________________________________________________
  5. Approximately how many clams would be developing in 10 degree Celsius water? _________________________
  6. What is it called when you make predictions about data not yet recorded, such as the prediction we made in question number 5? ___________________________________________________________________________

Use PENCIL to

make graph!

Biology

Practice Problem

Background: Natalie sets out to run 15 kilometers. Every 30 minutes she checked her pedometer to determine how far she had run. Use the data below to create a proper scientific graph and to answer the corresponding questions.

Time (minutes) Total Distance (km) 0 0 30 6. 60 10. 90 12 120 13. 150 15

  1. What is the dependent variable? ________________________________________________________________
  2. What is the independent variable? _______________________________________________________________
  3. How many kilometers had Natalie run after 40 minutes? _____________________________________________
  4. What was Natalie’s average speed (in kilometers per hour) over the course of her run? ____________________ Use the formula Speed = Distance / Time

Use PENCIL to

make graph!