The accompanying data file contains 20 observations on the
response variable y along with the predictor
variables x1 and x2.
a. Estimate a regression model with the
predictor
variables x1 and x2,
and then extend it to also include the interaction
variable x1x2. What is
the estimated regression coefficient for the predictor
variable x1 and x2 in
both models? (Negative values should be indicated by a
minus sign. Round your answers to 4 decimal places.)
X1
X2
Model 1(no interaction)
Model 2 (interaction)
b-1. Which is the preferred model for
making predictions?
b-2. Use the preferred model to
predict y. (Round coefficient estimates
to at least 4 decimal places and final answer to 2 decimal
places.)
Predictor Variables
Predicted Y
X1 = 30, x2 = 10
X1 = 30, X2 = 20
y
x1
x2
37
22
33
51
32
35
57
30
25
42
28
22
28
21
17
87
34
9
64
27
33
52
30
19
45
28
34
56
28
5
31
21
32
34
21
12
38
28
16
84
34
13
44
23
29
54
28
15
31
22
13
35
29
22
66
26
14
72
38
21