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Grade 9:  The Learning Equation Math

41.01 Relationships Between Variables

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Data Analysis

Refresher pp 94-5

 

SeekAWord2ech.class Author

Prerequisite Skills:

Problem Solving With Data

Graphing Relations

 

Key Terms                 

axis, scale, lower extreme, upper extreme, range, central tendency, mode, mean, median, lower quartile, upper quartile

 

 

Interactive Component Under Construction

 

 

Learning Outcomes:

The student will:

Graphing

In graphs, the axis of the variables are assigned, then scales and labels are added.

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The Dependent variable is always assigned to the y-axis.

What is the dependent variable?

The dependent variable relies on the changes in the independent variable.

The dependent variable is what we measure.

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source:  Line and Bar Graphs

The Independent variable is always assigned to the x-axis

What is the independent variable?    The independent variable does not relying on an other variable.  The values of the independent variable can be chosen freely.

 

There are three types of relationships between variables:
  • linear
  • non-linear (curved-line or other pattern)
  • no relationship at all

central tendency - point within the range about which the rest of the data is considered balanced.  The three common measures of central tendency are mean, median and mode.

 

 


Graphing Vocabulary Check





Match the terms and definitions.

source:  maths online

 

 

Picture the Parts

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Step by step instructions:

Box and Whisker Plots

 

 

 

 

 

Study the following results:

 
Life of Batteries
Brand Duracell Energizer Eveready #2 Rayovac
Turned on 9:00 p.m. Fri 9:00 p.m. Fri 10:00 a.m. Sat 9:00 p.m. Fri
Burnt out 12:00 p.m. Sat 7:15 p.m. Sat 4:35 p.m. Sat 9:30 p.m. Sat
Total Time
Turned On
15 hours 22 hours
15 minutes
6 hours
35 minutes
24 hours
30 minutes

Life of Batteries

[Graph of Life of Batteries]
Type of Battery

source:  Battery Life -- A Science Experiment

In this experiment:

  • what are the dependent and independent variables?  
  • is the relationship between the dependent and independent variables linear or non-linear?
  • does the type of battery effect the life of a battery?

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 Click Reload Page between answers selections.

 

Population Size of Generations

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source: Population dynamics tutorial

In this experiment:

  • what are the dependent and independent variables?  
  • is the relationship between the dependent and independent variables linear or non-linear?
  • does the type of battery effect the life of a battery?

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 Click Reload Page between answers selections.

 

Scatter Plot  of CEO Salaries

Description: The data are the age and annual salary(in $thousands) of the chief executive officer (including bonuses) for 60 small highly ranked firms.

Reference: Forbes, November 8, 1993, "America's Best Small Companies,". 

Webstat Directions: 

Look at all 4 steps before you start.  When you click on the button below, Webstat will open.

Choose a Sample data stet..  CEO salaries is an interesting set of data.

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Choose one of the graph types from Graphics.  

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Choose your Age and Salary for your variables, then click Create Graph!

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Try a variety of data Sample data sets and graphics(graph types).

 

Review:

 

Enrichment:

Data Applet

Scatter Plot - awesome potential for modifying

 

 

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Comments to:  Jim Reed
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