Read in the data set HW03_data.csv at this link HW03_data.csv that contains 50 observations on a response variable y and two regressors x1 and x2 # a) Generate the results for a complete second-order model using the summary() statement. # b) Use the full versus reduced model to test whether the coefficients # of the x1x2 interaction, the x1^2, and the x2^2 terms are all 0 at the overall alpha=0.05 level

R Programming

y	x1	x2
69.05	15.1	41.3
69.31	11.3	66.7
70.55	7.8	58.1
70.66	10.1	39.9
71.71	10.3	62.6
72.06	6.8	63.9
72.48	3.1	56
70.06	6.2	54.6
70.66	10.7	52.6
68.54	13.9	40.6
73.6	6.2	61.9
71.87	5.3	59.5
70.14	10.3	52.6
70.88	7.1	52.9
72.56	2.3	59
72.58	4.5	59.9
70.1	10.6	38.5
68.76	13.2	42.2
70.39	2.7	54.7
70.22	8.5	52.3
71.83	3.3	58.5
70.63	11.1	52.8
72.96	2.3	57.6
68.09	12.5	41
70.69	9.3	48.8
70.56	5	59.2
72.6	2.9	59.3
69.03	11.5	65.2
71.23	3.3	57.6
70.93	5.2	52.5
70.32	9.7	55.2
70.55	10.9	52.7
69.21	11.1	38.5
72.78	1.4	50.3
70.82	7.4	53.2
71.42	6.4	51.6
72.13	4.2	60
70.43	6.1	50.2
71.9	2.4	46.4
67.96	11.6	37.8
72.08	1.7	53.3
70.11	11	41.8
70.9	12.2	47.4
72.9	4.5	67.3
71.64	5.5	57.1
70.08	9.5	47.8
71.72	4.3	63.5
69.48	6.7	41.6
72.48	3	54.5
70.29	6.9	62.9