PASCO Specialty & Mfg. DISCOVER DENSITY SET SE-9719 Manual De Usuario

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012–07192A
Discover Density Set 
15
and height.  Since it is difficult to analyze data from experiments in which
more than two variables, you group the cones into two groups.  One group
all have the same height, and the other group all have the same diameter.
Two others did not fit in either group.  Measuring the cones gives the
following results:
Group One are all 2.0 cm in diameter
Height
  Mass
3.0  cm
  5.56 g
4.0  cm
  7.41 g
5.0  cm
  9.27 g
6.0 cm
11.12 g
Group Two are all 2.0 cm tall
Diameter
Mass
2.0  cm
  3.71 g
3.0  cm
  8.34 g
4.0 cm
14.83 g
5.0 cm
23.17 g
Cones not in either group above
Diameter
Height
Mass
“A”: 1.0 cm
4.0 cm
1.85 g
“B”:  1.0 cm
6.0 cm
2.78 g
Group 1 and 2 each relate mass, which may be thought of as the dependent
variable, to another variable that influences the mass.
Graphing the data from group 1, placing mass on the vertical axis, and
height on the horizontal axis, we obtain a straight line that passes through
the origin.
This form of graph shows that  y = m x,  where y is the variable plotted on
the vertical axis, and x is the variable plotted on the horizontal axis.  “m” is
the slope, which is constant.  The value of  “m” could be determined, to
complete the equation.  In this case, we do not need this much information.
It is enough for us to see that   y is proportional to x, or, in this case, that
mass is proportional to height.
Graphing the data of group 2 does not generate a straight line.  The shape of
the graph suggests an equation of the form y = c x
k
, where and k are
constants.  This hypothesis may be tested, and the constants evaluated using
any of the three methods described previously in the fluorite example.