A scientific study on mesothelioma caused by asbestos gives the following data table.



Micrograms of asbestos inhaled Area of scar tissue (cm2)
58

162

62

189

63

188

67

215

70

184



Using technology, it was determined that the total sum of squares
(
S
S
T
)
was
1421.2
and the sum of squares due to error
(
S
S
E
)
was
903.51
. Calculate
R
2
and determine its meaning. Round your answer to four decimal places.

Select the correct answer below:


R
2
=
0.3643

Therefore,
36.43
%
of the variation in the observed
y
-values can be explained by the estimated regression equation.

R
2
=
0.3643

Therefore,
0.3643
%
of the variation in the observed
y
-values can be explained by the estimated regression equation.

R
2
=
0.6357

Therefore,
63.57
%
of the variation in the observed
y
-values can be explained by the estimated regression equation.

R
2
=
0.6357

Therefore,
0.6357
%
of the variation in observed
y
-values can be explained by the estimated regression equation.