Using the computer output, the best estimate of the light intensity at 19 centimeters is:
As an object travels away from a light source, the
intensity of the light on the object diminishes. To
measure the influence of distance on light intensity,
a student uses a light meter to record intensity, in
lumens, from a source at various distances. The
results, which compare distance in centimeters to
the recorded light intensity, are shown in the
scatterplot. To develop a linear model, the student
next took the log of each distance and the log of
each intensity and used computer software to find a
least-square equation, shown in the computer
output.
O 0.0876, because 0.8561 – 1.4966(log 19) =
-1.058, and 10-1.058=0.0876 lumens.
O 0.3472, because 0.8561 - 1.4966(log
19) = -1.058, and e-1058=0.3472 lumens.
O 0.3964, because 0.8561(log 19) - 1.4966
= -0,4018, and 10-0.4018=0.3964 lumens.
0.6691, because 0.8561(log 19) - 1.4966
= -0.4018, and e-0.4018=0.6691 lumens.