The company's manager is trying to determine which of the variables in the data have significant impact on the evaluation score. Specifically, the manager is interested in investigating the following variables to see which of these variables are significant predictors of the evaluation score. The variables include EMP@EVAL, POS@EVAL, TYPE and HERE. He needs your help.

1. Fit a multiple linear regression of "SCORE" on "EMP@EVAL", "POS@EVAL", "TYPE", and "HERE". (5 points)

2. Test the hypothesis that "H" _0: "All" B_j^' "s" = 0 vs. "H"_a: "Not all" B_j^' "s" = 0 (use .05 level of significance). (5 points)

3. Check the normality assumption. (5 points)

4. Interpret the coefficients estimates of your model in the context of the problem. (5 points)

5. Interpret the R-square value in the context of the problem. (5 points)

6. Predict the average performance score of all employees who have been employed and stayed at the same position for 9 years at the time ofperformance evaluation, received a one-year evaluation and is still with the company. (5 points)

SCORE	LAG	EMP@EOY	POS@EOY	DEPT	GRADE	EDUC	EMP@E..S@EVAL	TYPE	JOB	HERE
184	-7	7.289999962	7.289999962	40	8	13	7.119999886	7.119999886	1	2	1
155	9	2.920000076	2.119999886	55	13	13	1.820000052	1.019999981	1	4	1
132	21	0.769999981	0.769999981	55	13	16	0.310000002	0.310000002	0	4	1
118	-7	0.800000012	0.800000012	55	4	13	0.230000004	0.230000004	0	1	1
102	15	13.77999973	4.699999809	41	2	12	13.15999985	4.070000172	1	1	1
178	4	9.649999619	9.649999619	64	3	12	9.020000458	9.010000229	1	1	1
115	2	2.190000057	2.190000057	41	9	16	2.150000095	2.150000095	1	2	1
128	13	0.5	0.5	62	8	16	0.289999992	0.289999992	0	2	1
99	35	12.76000023	2.730000019	62	2	12	12.10000038	2.069999933	1	1	1
133	-2	4.489999771	0.509999991	71	11	16	4.230000019	0.25	0	3	1
158	12	5.139999866	2.039999962	55	10	12	4.130000114	1.029999971	1	3	1
125	0	6.940000057	6.940000057	62	8	16	6	6	1	2	1
113	2	1.879999995	0.389999986	73	8	14	1.75	0.259999991	0	2	1
121	-12	6.349999905	0.280000001	73	17	18	6.289999962	0.219999999	0	4	1
172	10	3.779999971	3.779999971	72	8	16	3.029999971	3.029999971	1	2	1
159	49	11.69999981	11.69999981	64	8	14	11.67000008	11.67000008	1	2	1
135	14	6.099999905	3.170000076	55	4	13	5.829999924	2.900000095	1	1	1
155	7	7.590000153	5.289999962	55	10	18	7.320000172	5.019999981	1	3	1
128	22	0.560000002	0.560000002	41	2	13	0.310000002	0.310000002	0	1	1
127	62	3.420000076	3.420000076	73	10	16	3.170000076	3.170000076	1	3	1
134	45	0.310000002	0.310000002	62	8	16	0.370000005	0.370000005	0	2	1
126	13	0.769999981	0.439999998	55	2	12	0.289999992	0.050000001	0	1	1
131	16	4.239999771	4.239999771	41	10	18	4.050000191	4.050000191	1	3	1
136	-2	0.959999979	0.959999979	55	2	12	0.239999995	0.239999995	0	1	1
155	8	0.370000005	0.370000005	41	11	16	0.270000011	0.270000011	0	3	1
125	17	0.419999987	0.419999987	40	13	16	0.300000012	0.300000012	0	4	1
128	21	0.389999986	0.389999986	72	8	14	0.310000002	0.310000002	0	2	1
164	3	4.869999886	4.869999886	64	8	14	4.010000229	4.010000229	1	2	1
90	27	0.74000001	0.74000001	72	2	12	0.319999993	0.319999993	0	1	1
146	-5	4.28000021	2.789999962	73	11	14	3.470000029	1.99000001	1	3	1
159	19	0.920000017	0.280000001	55	14	20	0.949999988	0.300000012	0	4	1
125	12	4.800000191	4.800000191	74	8	16	4.039999962	4.039999962	1	2	1
129	36	3.420000076	3.420000076	62	8	14	3.099999905	3.099999905	1	2	1
149	4	2.609999895	1.279999971	63	8	16	2.339999914	1.00999999	1	2	1
182	-7	7.340000153	7.340000153	72	10	16	6.980000019	6.980000019	1	3	1
172	42	3.75999999	2.339999914	62	10	14	3.789999962	2.380000114	1	3	1
137	-11	6.519999981	0.280000001	71	17	16	6.46999979	0.219999999	0	4	1
171	30	3.160000086	2.75	62	3	12	2.5	2.079999924	1	1	1
144	34	1.269999981	0.730000019	55	3	12	1.090000033	0.550000012	1	1	1
163	28	1.389999986	1.389999986	61	8	14	1.090000033	1.080000043	1	2	1
165	4	6.889999866	5.119999886	74	8	16	6.75	4.980000019	1	2	1
128	11	6.519999981	5.389999866	72	3	12	6.170000076	5.03000021	1	1	1
133	6	1.289999962	1.289999962	63	8	14	1.019999981	1.019999981	1	2	1
162	-5	4.949999809	4.949999809	64	8	14	3.99000001	3.99000001	1	2	1
119	8	0.529999971	0.529999971	65	8	16	0.270000011	0.270000011	0	2	1
131	34	0.370000005	0.370000005	74	4	12	0.349999994	0.349999994	0	1	1
149	62	2.420000076	0.74000001	55	9	12	2.099999905	0.419999987	0	2	1
167	24	0.370000005	0.370000005	41	2	12	0.319999993	0.319999993	0	1	1
136	13	1.309999943	1.309999943	63	3	14	1.039999962	1.039999962	1	1	1
150	21	0.560000002	0.560000002	41	2	14	0.310000002	0.310000002	0	1	1
135	8	0.810000002	0.810000002	73	10	14	0.270000011	0.270000011	0	3	1
176	64	17.23999977	17.23999977	62	3	12	17.19000053	17.19000053	1	1	1
115	19	0.330000013	0.330000013	72	8	18	0.300000012	0.300000012	0	2	1
155	0	5.860000134	5.860000134	65	3	12	5	5	1	1	1
127	-12	1.169999957	1.169999957	62	3	13	0.970000029	0.970000029	1	1	1
61	37	4.71999979	0.280000001	62	6	14	4.789999962	0.349999994	0	1	1
115	15	3.160000086	0.860000014	55	2	13	2.579999924	0.280000001	0	1	1
121	23	1.690000057	0.709999979	55	2	14	1.289999962	0.310000002	0	1	1
160	-14	1.419999957	1.419999957	72	8	14	0.959999979	0.959999979	1	2	1
162	-1	12.57999992	3.99000001	72	13	14	11.59000015	3	1	4	1
155	4	2.859999895	2.859999895	72	8	14	2.00999999	2.00999999	1	2	1
124	-2	5.320000172	0.509999991	73	10	16	5.050000191	0.25	0	3	1
141	12	1.419999957	0.74000001	73	5	14	0.959999979	0.280000001	0	1	1
124	13	1.24000001	1.24000001	61	8	14	1.039999962	1.039999962	1	2	1
131	79	4.760000229	4.760000229	63	8	14	4.21999979	4.21999979	1	2	1
111	9	4.349999905	2.690000057	73	3	12	3.690000057	2.019999981	1	1	1
135	10	4.010000229	0.560000002	62	10	14	3.700000048	0.280000001	0	3	1
164	33	7.639999866	7.639999866	64	8	14	7.599999905	7.599999905	1	2	1
127	5	0.460000008	0.460000008	62	8	14	0.270000011	0.270000011	0	2	1
111	3	4.909999847	0.509999991	73	10	16	4.670000076	0.259999991	0	3	1
171	31	8.100000381	6.5	61	3	12	7.679999828	6.090000153	1	1	1
123	27	2.730000019	2.730000019	74	8	14	2.069999933	2.069999933	1	2	1
128	15	0.939999998	0.939999998	62	8	16	0.289999992	0.289999992	0	2	1
128	-6	0.629999995	0.629999995	62	8	16	0.239999995	0.239999995	0	2	1
132	-12	0.879999995	0.879999995	70	6	16	0.209999993	0.209999993	1	1	1
173	34	8.729999542	8.729999542	63	8	14	8.100000381	8.100000381	1	2	1
126	36	0.899999976	0.540000022	72	3	12	0.720000029	0.349999994	0	1	1
120	8	2.960000038	1.129999995	62	8	14	2.019999981	0.200000003	0	2	1
121	30	0.959999979	0.959999979	65	3	12	0.330000013	0.330000013	0	1	1
111	12	0.920000017	0.920000017	74	8	14	0.280000001	0.280000001	0	2	1
129	58	0.959999979	0.959999979	61	3	14	0.409999996	0.409999996	0	1	1
132	9	2.519999981	2.519999981	71	10	16	2.069999933	2.069999933	1	3	1
75	10	10.89999962	6.5	55	10	16	10.92000008	6.53000021	1	3	1
157	6	12.76000023	12.76000023	73	4	12	12.02000046	12.02000046	1	1	1
155	20	7.389999866	3.119999886	73	13	16	7.329999924	3.049999952	1	4	1
152	-2	3.279999971	3.279999971	62	8	14	2.99000001	2.99000001	1	2	1
121	5	5.809999943	0.920000017	62	3	12	5.150000095	0.259999991	0	1	1
112	18	0.939999998	0.939999998	62	8	14	1.299999952	1.299999952	1	2	1
170	4	3.420000076	3.420000076	62	8	16	3.00999999	3.00999999	1	2	1
159	13	4.800000191	4.800000191	65	8	16	4.039999962	4.039999962	1	2	1
124	17	0.649999976	0.649999976	72	8	14	0.300000012	0.300000012	0	2	1
174	-7	3.440000057	3.440000057	62	8	16	2.980000019	2.980000019	1	2	1
120	9	2.440000057	1.129999995	74	13	16	1.580000043	0.280000001	0	4	1
139	0	1.960000038	0.889999986	55	10	14	1.309999943	0.239999995	0	3	1
139	0	2.75999999	2.75999999	72	2	12	2	2	1	1	1
160	-3	1.690000057	1.350000024	41	14	18	1.330000043	0.99000001	1	4	1
133	-3	5.349999905	5.349999905	72	8	14	4.989999771	4.989999771	1	2	1
147	14	7.559999943	7.559999943	64	8	16	7.559999943	7.559999943	1	2	1
126	15	0.519999981	0.519999981	61	8	18	0.289999992	0.289999992	0	2	1
112	-3	6.78000021	0.280000001	64	13	18	6.739999771	0.239999995	0	4	1
140	16	0.959999979	0.74000001	72	3	13	0.519999981	0.289999992	0	1	1
124	60	1.879999995	0.389999986	62	10	14	1.909999967	0.419999987	0	3	1
104	10	1.99000001	1.99000001	72	2	14	1.029999971	1.029999971	1	1	1
126	30	2.779999971	0.270000011	73	8	14	2.839999914	0.330000013	0	2	1
140	20	5.050000191	0.910000026	41	4	12	4.429999828	0.300000012	0	1	1
106	7	8.149999619	0.75	71	9	12	7.670000076	0.270000011	0	2	1
138	7	0.730000019	0.730000019	72	4	12	0.270000011	0.270000011	0	1	1
135	5	2.230000019	0.810000002	55	3	12	1.679999948	0.270000011	0	1	1
105	35	0.280000001	0.280000001	72	8	16	0.349999994	0.349999994	0	2	1
143	2	14.27000046	14.27000046	73	11	16	14.02999973	14.02999973	1	3	1
131	27	2.940000057	2.690000057	55	10	18	1.320000052	1.070000052	1	3	1
108	-10	11.27999973	0.280000001	74	17	14	11.22000027	0.219999999	0	4	1
171	-7	5.329999924	2.079999924	72	10	14	4.380000114	1.129999995	1	3	1
152	22	2.670000076	2.230000019	55	5	13	2.5	2.059999943	1	1	1
171	15	5.889999866	5.21999979	64	3	12	5.71999979	5.039999962	1	1	1
152	8	1.960000038	1.960000038	62	2	12	1.019999981	1.019999981	1	1	1
115	69	0.460000008	0.319999993	72	3	12	0.579999983	0.439999998	0	1	1
80	8	0.479999989	0.479999989	41	4	12	0.270000011	0.270000011	0	1	1
115	15	2.130000114	0.360000014	41	5	16	2.059999943	0.289999992	0	1	1
134	-8	7.349999905	0.280000001	61	13	14	7.300000191	0.230000004	0	4	1
132	10	1.690000057	0.74000001	55	3	13	1.230000019	0.280000001	0	1	1
137	19	12.69999981	0.280000001	55	17	18	12.72000027	0.300000012	0	4	1
129	12	2.700000048	0.939999998	62	3	13	2.046999931	0.280000001	0	1	1
154	11	16.85000038	13.51000023	41	14	14	16.59000015	13.25	1	4	1
113	2	5.900000095	0.980000019	71	13	14	5.179999828	0.25	0	4	1
104	5	1.99000001	1.99000001	55	2	12	1.00999999	1.00999999	1	1	0
131	-4	1.100000024	1.100000024	72	8	14	0.239999995	0.239999995	0	2	0
117	34	0.810000002	0.810000002	62	8	14	0.349999994	0.349999994	0	2	0
171	-7	18.14999962	13.78999996	65	13	14	17.34000015	12.98999977	1	4	0
90	9	1.190000057	1.190000057	74	8	14	0.280000001	0.280000001	0	2	0
123	6	1.25	1.25	74	8	14	0.270000011	0.270000011	0	2	0
101	-3	8.25	4.489999771	62	13	16	7.760000229	3.99000001	1	4	0
40	87	0.959999979	0.959999979	62	8	18	0.479999989	0.479999989	0	2	0
117	6	2.799999952	2.799999952	74	8	14	2.019999981	2.019999981	1	2	0
132	9	1.269999981	1.269999981	74	8	14	1.019999981	1.019999981	1	2	0
159	-14	1.840000033	1.840000033	72	2	18	0.959999979	0.959999979	1	1	0
105	26	11.38000011	10.13000011	55	4	12	10.81999969	9.569999695	1	1	0
106	6	2.049999952	0.639999986	73	8	14	1.679999948	0.270000011	0	2	0
116	10	0.579999983	0.579999983	41	3	12	0.280000001	0.280000001	0	1	0
171	21	2.74000001	2.74000001	62	8	16	2.059999943	2.059999943	1	2	0
143	35	7.519999981	5.320000172	65	8	16	7.329999924	5.119999886	1	2	0
90	3	0.649999976	0.649999976	74	8	14	0.259999991	0.259999991	0	2	0
115	24	0.920000017	0.920000017	41	3	12	0.310000002	0.310000002	0	1	0
117	10	0.419999987	0.419999987	71	8	16	0.280000001	0.280000001	0	2	0