Mid Term Exam

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Mid Term Exam

• Review Part 2

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If you could predict the future, what would you
do?
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Hurricane Katrina
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Scatter Plots(used to display a trend)
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An effective way to hunt for patterns or trends
is to display the data as a scatter plot.
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• The difference between independent and dependent
  will be determined by insight.
• Typically, the IV comes first
• Ex pay vs hours worked
• Pay DV and Hours IV

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Outlier
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• An outlier is a point separated from the main
  body of the data.

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• Todays Lab..

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Distance Vs Height

• Distance (m)

(dependent)
4 3 2 1
10 20 30 40 50 60 70 80 90
100
Ramp Height (cm)
(independent)
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Direct Variation
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Consider working at McDonalds
You get paid 8.00 per hour
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Hours
Pay ()

• 1

8
X 8
2
16
X 8
3
X 8
24
10
80
X 8
In Direct Variation, one variable equals a fixed
multiple of the other.
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Hours
Pay ()

• 1

8
X 8
2
16
X 8
3
X 8
24
10
80
X 8
This multiple is called the constant of
variation (k)
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Hours
Pay ()

• 1

8
X 8
2
16
X 8
The formula
3
X 8
24
P
8
h
10
80
X 8
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Pay vs Hours

• P

48
40
32
24
16
8
0
1 2 3 4 5 6
0
H
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How much would you get paid for 3.5 hours?

• P 8 X 3.5
• 28

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• P

48
40
32
28
24
16
8
0
3.5
1 2 3 4 5 6
0
H
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How much would you get paid for 7 hours?

• P 8 X 7
• 56

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• P

56
48
40
32
24
16
8
0
1 2 3 4 5 6
7
0
H
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Partial Variation
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Consider working at East Side Marios
You get paid 8.00 per hour.You also get paid a
20.00 shift gratuity.
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Hours
Pay ()

• 1

8
X 8
20 28
2
16 20 36
X 8
3
X 8
24 20 44
10
80 20 100
X 8
In Partial Variation, one variable equals a fixed
multiple of the other, plus a constant value.
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Written as an equation
Variable part
Fixed part

• P 8h 20

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Pay vs Hours

• P

60
50
40
30
20
10
0
1 2 3 4 5 6
0
H
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What if we draw 2 lines on the same graph?We
create what is called a linear system.
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• P

48
40
32
24
16
8
0
1 2 3 4 5 6
0
H
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Engineers have created a mathematical measure for
the steepness of a line

• Slope The measure of a
• lines steepness

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Steepness?
Direction?
Straight?

• Distance

Time
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Rise
Slope
Run

• Rise

Run
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Step Count Technique
Count the number of steps going from left to
right.
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2
5
5
m
2
36







4
2
2
m
4
1
m
2
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-5
-5
m
2
2
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First Differences

• Be sure to copy down all the text in black.
• All the colored text is just for reading and
  reflecting

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Time Distance
0
1
2
3
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First Differences





Imagine the snake at 2 m / second
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Add a First Differences Column to your chart
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2 0 2
When the FDs are the same, the relationship is
linear
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4 2 2
6
6 4 2
8
8 6 2
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Use a TOVs with a FD column to determine if the
following relationship is linear or not.
In summary FDs are the same, then linear FDs are
different, then non-linear
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• See sheet