Based on the scatterplot and residual plot, which type of model is most suitable for modeling electric bills
based on mean monthly temperature?
A homeowner notices that the electric bill for the
house is often much higher in the summer months.
Collecting data from the last 18 monthly electric bills,
the amount of each bill is plotted against the mean
temperature for each month. The logs of both the
mean monthly temperature and the electric bill are
taken in order to develop a linear model.
log(Bill) vs. log(Temperature)
O Alinear model is appropriate because the residual
plot shows a random scatter.
O Alogarithmic model is appropriate because
logarithms were used to transform the data sets.
O A power model is appropriate because the
scatterplot of log temperature and log bill is roughly
linear, and the residual plot shows no distinct
pattern
O An exponential model is appropriate because the
scatterplot of log temperature and log bill is roughly
linear
23
2.25
.
22.
log(Bill)
2.15
2.1
205