Warmup

1
Warmup

• Write increase or decrease to complete the
  sentence regarding expectations for the
  situation.
• The more one studies, their grades will _____.
• The more a person diets, their weight will
  ______,
• The longer one diets, the amount of weight loss
  will ______.
• The more a person exercises, their muscle mass
  will _____.
• The more a person exercises, their fat mass will
  ______.
• The more a person jumps rope, their heart rate
  will _____.
• The more a class talks, the teachers patience
  will _____.
• The more a person reads, their vocabulary will
  _____.
• This is called correlation.

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Lesson 12Scatter Plots and Lines of Best Fit

• Objectives
• Determine whether displayed data has positive,
  negative, or no correlation.
• Draw a line of best fit to show the trend in
  data.

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• Scatter Plot Dots representing data placed on
  coordinate grid.
• Line of Best Fit Trend Line Goes through the
  center of the scatter plot. (Line of Best Fit
  Interactive scroll to 2nd coordinate plane)

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• Positive Correlation Group of dots go up and
  right (Line of best fit shows increasing values.)
• Negative Correlation Group of dots go down and
  right (Line of best fit shows increasing values.)
• No Correlation Points are scattered and no
  pattern can be determined.

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Correlation

• From birth to your current age, what
  happened to your height as you grew older?
• When dieting, does a person expect their weight
  to go up or down?
• From birth to your current age, what has happened
  to your weight?
• When working out frequently, does one expect
  their amount of body fat to increase or decrease?

YouTube Video What is Correlation? Youtube
Video on Correlation
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Strength of Correlation
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BIRD POPULATIONS
The table shows the number of active woodpecker
clusters in a part of the De Soto National Forest
in Mississippi. Determine the correlation between
the year and the number of Active clusters.
Year 1992 1993 1994 1995 1996 1997 1998 1999 2000
Active clusters 22 24 27 27 34 40 42 45 51
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EXAMPLE 3
SOLUTION
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Describe the correlation of the data graphed in
the scatter plot.
The scatter plot shows a positive correlation
between hours of studying and test scores. This
means that as the hours of studying increased,
the test scores tended to increase.
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EXAMPLE 1
Describe the correlation of data
The scatter plot shows a negative
correlation between hours of television watched
and test scores. that as the hours of television
This means that as the hours of television
watched Increased, the test scores tended to
decrease.
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EXAMPLE 2
Swimming Speeds
The table shows the lengths (in centimeters) and
swimming speeds (in centimeters per second) of
six fish.
a. Make a scatter plot of the data.
b. Describe the correlation of the data.
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EXAMPLE 2
SOLUTION
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GUIDED PRACTICE
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