[问答题]
A household appliance manufactur
y*qih 8era7bc2 e:,s ling company uses the following model to pred
b. l qp5g1x *zct(x*tuict the quantity of output, Q (in thousands of items), from the quantity
p x1 tblxz(ut*c 5g*q. of labour, l (in hundreds of hours).
$Q(l)=a l e^{b l}, a, b \in \mathbb{R}$
The production analysts in the company are trying to decide between two options for the values of a and b , depending on which historical time period to use as their data set. The two options, Models A and B are as follows:
Model A: a=4, b=-0.3
Model B: a=3.5, b=-0.2
To test whether model A or B has better capacity of forecasting output, the company records the quantity of output for three different quantities of labour, as shown in the table below.
Determine the model that the firm should choose based on the least sum of square of residuals.