The accompanying data file contains 40 observations on the response variable y along with the predictor variables x and d. Consider two linear regression models where Model 1 uses the variables x and d and Model 2 extends the model by including the interaction variable xd. Use the holdout method to compare the predictability of the models using the first 30 observations for training and the remaining 10 observations for validation.

a-1. Use the training set to estimate Models 1 and 2.

Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

Predictor Variable Model 1(no interaction) Model 2(interaction)

Constant __________ __________

x __________ __________

d ___________ __________

xd ___________ __________

a-2. Calculate the RMSE of the two models in the validation set.

Note: Do not round intermediate calculations and round final answers to 2 decimal places.

Model 1 (no interaction) Model 2 (interaction)

RMSE __________ ___________

y	x	d
70	11	1
102	19	1
76	12	1
83	14	1
61	17	0
62	13	0
67	20	0
98	16	1
84	11	1
101	15	1
51	16	0
108	16	1
32	13	0
71	15	1
101	17	1
90	15	1
112	19	1
88	13	1
110	18	1
95	17	1
44	14	0
51	19	0
112	17	1
113	17	1
52	13	0
61	10	1
100	16	1
78	14	1
90	16	1
57	16	0
59	15	0
53	15	0
119	19	1
109	18	1
68	11	0
104	19	1
45	18	0
67	17	0
70	15	0
70	14	1