A study was conducted to determine the effect of some car's features such as Engine size, Horsepower, Wheelbase, Width, Length, Curb weight, and Fuel capacity to car's Fuel Efficiency.

Using this data, perform multiple linear regression analysis.

engine_s	horsepower	wheelbase	width	length	curb_wgt	fuel_cap	mpg
1.8	140	101.2	67.3	172.4	2.639	13.2	28
3.2	225	108.1	70.3	192.9	3.517	17.2	25
3.2	225	106.9	70.6	192	3.47	17.2	26
3.5	210	114.6	71.4	196.6	3.85	18	22
1.8	150	102.6	68.2	178	2.998	16.4	27
2.8	200	108.7	76.1	192	3.561	18.5	22
4.2	310	113	74	198.2	3.902	23.7	21
2.5	170	107.3	68.4	176	3.179	16.6	26
2.8	193	107.3	68.5	176	3.197	16.6	24
2.8	193	111.4	70.9	188	3.472	18.5	25
3.1	175	109	72.7	194.6	3.368	17.5	25
3.8	240	109	72.7	196.2	3.543	17.5	23
3.8	205	113.8	74.7	206.8	3.778	18.5	24
3.8	205	112.2	73.5	200	3.591	17.5	25
4.6	275	115.3	74.5	207.2	3.978	18.5	22
4.6	275	112.2	75	201		18.5	22
4.6	275	108	75.5	200.6	3.843	19	22
3	200	107.4	70.3	194.8	3.77	18	22
5.7	255	117.5	77	201.2	5.572	30	15
2.2	115	104.1	67.9	180.9	2.676	14.3	27
3.1	170	107	69.4	190.4	3.051	15	25
3.1	175	107.5	72.5	200.9	3.33	16.6	25
3.4	180	110.5	72.7	197.9	3.34	17	27
3.8	200	101.1	74.1	193.2	3.5	16.8	25
5.7	345	104.5	73.6	179.7	3.21	19.1	22
1.8	120	97.1	66.7	174.3	2.398	13.2	33
1	55	93.1	62.6	149.4	1.895	10.3	45
3.4	180	110.5	73	200	3.389	17	27
2.5	163	103.7	69.7	190.9	2.967	15.9	24
2.5	168	106	69.2	193	3.332	16	24
2.7	200	113	74.4	209.1	3.452	17	26
2	132	108	71	186	2.911	16	27
3.5	253	113	74.4	207.7	3.564	17	23
3.5	253	113	74.4	197.8	3.567	17	23
2	132	105	74.4	174.4	2.567	12.5	29
2.5	163	103.7	69.1	190.2	2.879	15.9	24
2.5	168	108	71	186	3.058	16	24
2.7	202	113	74.7	203.7	3.489	17
8	450	96.2	75.7	176.7	3.375	19	16
5.2	230	138.7	79.3	224.2	4.47	26	17
3.9	175	109.6	78.8	192.6	4.245	32	15
3.9	175	127.2	78.8	208.5	4.298	32	16
2.5	120	131	71.5	215	3.557	22	19
5.2	230	115.7	71.7	193.5	4.394	25	17
2.4	150	113.3	76.8	186.3	3.533	20	24
2	110	98.4	67	174.7	2.468	12.7	30
3.8	190	101.3	73.1	183.2	3.203	15.7	24
2.5	170	106.5	69.1	184.6	2.769	15	25
3	155	108.5	73	197.6	3.368	16	24
2	107	103	66.9	174.8	2.564	13.2	30
4.6	200	114.7	78.2	212	3.908	19	21
4	210	111.6	70.2	190.7	3.876	21	19
3	150	120.7	76.6	200.9	3.761	26	21
4.6	240	119	78.7	204.6	4.808	26	16
2.5	119	117.5	69.4	200.7	3.086	20	23
4.6	220	138.5	79.1	224.5	4.241	25.1	18
1.6	106	103.2	67.1	175.1	2.339	11.9	32
2.3	135	106.9	70.3	188.8	2.932	17.1	27
2	146	103.2	68.9	177.6	3.219	15.3	24
3.2	205	106.4	70.4	178.2	3.857	21.1	19
3.5	210	118.1	75.6	201.2	4.288	20	23
1.5	92	96.1	65.7	166.7	2.24	11.9	31
2	140	100.4	66.9	174	2.626	14.5	27
2.4	148	106.3	71.6	185.4	3.072	17.2	25
3	227	108.3	70.2	193.7	3.342	18.5	25
3	240	114.5	71.6	191.3	3.65	18.4	21
2.5	120	93.4	66.7	152	3.045	19	17
4	190	101.4	69.4	167.5	3.194	20	20
4	195	105.9	72.3	181.5	3.88	20.5	19
3	210	105.1	70.5	190.2	3.373	18.5	23
3	225	110.2	70.9	189.2	3.638	19.8	23
4	300	110.2	70.9	189.2	3.693	19.8	21
4	290	112.2	72	196.7	3.89	22.5	22
4.7	230	112.2	76.4	192.5	5.401	25.4	15
3	220	103	71.5	180.1	3.9	17.2	21
4.6	275	109	73.6	208.5	3.868	20	22
4.6	215	117.7	78.2	215.3	4.121	19	21
5.4	300	119	79.9	204.8	5.393	30	15
1.8	113	98.4	66.5	173.6	2.25	13.2	30
2.4	154	100.8	68.9	175.4	2.91	15.9	24
2.4	145	103.7	68.5	187.8	2.945	16.3	25
3.5	210	107.1	70.3	194.1	3.443	19	22
3	161	97.2	72.4	180.3	3.131	19.8	21
3.5	200	107.3	69.9	186.6	4.52	24.3	18
3	173	107.3	66.7	178.3	3.51	19.5	20
2	125	106.5	69.1	184.8	2.769	15	28
2	125	106.4	69.6	185	2.892	16	30
3	153	108.5	73	199.7	3.379	16	24
4.6	200	114.7	78.2	212	3.958	19	21
4	210	111.6	70.2	190.1	3.876	21	18
3.3	170	112.2	74.9	194.7	3.944	20	21
2.3	185	105.9	67.7	177.4	3.25	16.4	26
3.2	221	111.5	70.8	189.4	3.823	21.1	25
4.3	275	121.5	73.1	203.1	4.133	23.2	21
5	302	99	71.3	177.1	4.125	21.1	20
2.3	190	94.5	67.5	157.9	3.055	15.9	26
2.3	185	94.5	67.5	157.3	2.975	14	27
3.2	215	105.9	67.8	180.3	3.213	16.4	26
5	302	113.6	73.1	196.6	4.115	23.2	20
3.2	215	111	72.2	180.6	4.387	19	20
1.8	126	99.8	67.3	177.5	2.593	13.2	30
2.4	155	103.1	69.1	183.5	3.012	15.9	25
3	222	108.3	70.3	190.5	3.294	18.5	25
3.3	170	112.2	74.9	194.8	3.991	20	21
3.3	170	106.3	71.7	182.6	3.947	21	19
3.3	170	104.3	70.4	178	3.821	19.4	18
3.3	170	116.1	66.5	196.1	3.217	19.4	18
3.1	150	107	69.4	192	3.102	15.2	25
3.5	215	109	73.6	195.9	3.455	18
2.4	150	107	70.1	186.7	2.958	15	27
4	250	113.8	74.4	205.4	3.967	18.5	22
4.3	190	107	67.8	181.2	4.068	17.5	19
3.4	185	120	72.2	201.4	3.948	25	22
2	132	105	74.4	174.4	2.559	12.5	29
2	132	108	71	186.3	2.942	16	27
2.4	150	113.3	76.8	186.3	3.528	20	24
3.5	253	113.3	76.3	165.4	2.85	12	21
2.4	150	104.1	68.4	181.9	2.906	15	27
3.4	175	107	70.4	186.3	3.091	15.2	25
3.8	200	101.1	74.5	193.4	3.492	16.8	25
3.8	195	110.5	72.7	196.5	3.396	18	25
3.8	205	112.2	72.6	202.5	3.59	17.5	24
3.4	185	120	72.7	201.3	3.942	25	23
2.7	217	95.2	70.1	171	2.778	17	22
3.4	300	92.6	69.5	174.5	3.032	17	21
3.4	300	92.6	69.5	174.5	3.075	17	23
2.3	170	106.4	70.6	189.2	3.28	18.5	23
2	185	102.6	67.4	182.2	2.99	16.9	23
1.9	100	102.4	66.4	176.9	2.332	12.1	33
1.9	100	102.4	66.4	180	2.367	12.1	33
1.9	124	102.4	66.4	176.9	2.452	12.1	31
2.2	137	106.5	69	190.4	3.075	13.1	27
2.2	137	106.5	69	190.4	2.91	13.1	28
2.5	165	103.5	67.5	185.8	3.415	16.9	25
2.5	165	99.4	68.3	175.2	3.125	15.9	24
1.8	120	97	66.7	174	2.42	13.2	33
2.2	133	105.2	70.1	188.5	2.998	18.5	27
3	210	107.1	71.7	191.9	3.417	18.5	26
1.8	140	102.4	68.3	170.5	2.425	14.5	31
2.4	142	103.3	66.5	178.7	2.58	15.1	23
3	194	114.2	73.4	193.5	3.759	20.9	22
2	127	94.9	66.7	163.8	2.668	15.3	27
2.7	150	105.3	66.5	183.3	3.44	18.5	23
4.7	230	112.2	76.4	192.5	5.115	25.4	15
2	115	98.9	68.3	163.3	2.767	14.5	26
2	115	98.9	68.3	172.3	2.853	14.5	26
1.8	150	106.4	68.5	184.1	3.043	16.4	27
2	115	97.4	66.7	160.4	3.079	13.7	26
2	115	98.9	68.3	163.3	2.762	14.6	26
2	115	98.9	67.9	161.1	2.769	14.5	26
1.9	160	100.5	67.6	176.6	2.998	15.8	25
1.9	160	100.5	67.6	176.6	3.042	15.8	25
2.4	168	104.9	69.3	185.9	3.208	17.9	25
2.4	168	104.9	69.3	186.2	3.259	17.9	25
2.3	236	104.9	71.5	185.7	3.601	18.5	23
2.9	201	109.9	72.1	189.8	3.6	21.1	24

Based on the result of your JASP / SPSS output, provide answers to the following questions:

1. Determine the best fitted regression model.
2. Write the equation of the regression model (best -fit model) and interpret all the Beta coefficients.
3. Interpret the ANOVA for regression fit.
4. Determine and interpret the coefficient of determination r².
5. What can we conclude about the relationship of the dependent and predictor variables?