A team of American researchers studying Educational Psychology were interested in investigating the use of SAT scores (the SAT is a standardized test used for college admissions in the United States) when determining admission standards to undergraduate programs. The researchers sampled 224 undergraduate admissions from the current year's graduating class in Psychology. Admission criteria, including SAT-Math score (scores on the math component of the SAT college admissions test) and SAT-Verbal score (scores on the verbal component of the SAT college admissions test), were considered (all measured as continuous variables). The team of researchers wanted to determine if there was a relationship between undergraduate performance (measured by cumulative GPA) and each type of admission criteria (SAT-Math and SAT-Verbal). Please use the data below to answer this question.

a) What is the appropriate analysis to answer this research question, and why did you choose this analysis?

ID	SAT-math	SAT-verbal	GPA
1	670	600	3.32
2	700	640	2.26
3	640	530	2.35
4	670	600	2.08
5	540	580	3.38
6	760	630	3.29
7	600	400	3.21
8	460	530	2
9	670	450	3.18
10	570	480	2.34
11	491	488	3.08
12	600	600	3.34
13	510	530	1.4
14	750	610	1.43
15	650	460	2.48
16	720	630	3.73
17	760	500	3.8
18	800	610	4
19	640	670	2
20	750	700	3.74
21	520	440	2.32
22	610	530	2.79
23	505	435	3.21
24	559	607	3.08
25	760	620	3.75
26	640	490	3.16
27	520	360	2.73
28	580	460	3.06
29	700	520	1.07
30	620	570	3.35
31	490	550	1.82
32	640	520	3.12
33	550	290	2.25
34	600	520	2.93
35	400	390	3.16
36	710	530	2.83
37	750	670	3.1
38	660	480	3.07
39	620	480	2.87
40	630	440	3.61
41	650	450	2.17
42	550	570	1.95
43	730	650	3.35
44	710	400	3.58
45	770	720	2.75
46	610	560	3.26
47	600	360	3.41
48	640	570	3.67
49	750	540	3.81
50	650	480	3.3
51	590	420	2.3
52	660	630	3.62
53	570	570	3.2
54	570	480	2.55
55	660	550	2.82
56	690	550	3.25
57	670	500	2.21
58	660	460	2.5
59	600	630	3.03
60	447	320	1.92
61	600	410	4
62	620	580	1.81
63	580	470	2.7
64	630	630	2.96
65	600	560	2.76
66	700	440	2.71
67	550	560	3.4
68	680	450	2.65
69	630	500	2.48
70	750	760	3.86
71	491	391	2.62
72	550	500	3.72
73	630	500	3.5
74	690	440	2.83
75	540	400	3.06
76	640	480	4
77	520	410	3.7
78	559	488	2.81
79	590	510	1.93
80	580	580	3.7
81	670	440	2.96
82	620	590	2.64
83	540	470	3.09
84	620	560	3
85	770	540	2.97
86	620	570	2.81
87	660	560	3.32
88	710	500	3.4
89	610	390	1.84
90	560	690	0.4
91	690	460	2.88
92	590	440	2.77
93	530	440	2.26
94	540	610	2.03
95	530	560	2.43
96	640	500	2.63
97	590	470	1.66
98	520	490	3.41
99	559	545	2.12
100	500	460	3.33
101	490	390	1.69
102	490	370	2.46
103	670	480	1.59
104	720	610	1.14
105	640	520	0.65
106	520	380	2.12
107	400	470	2.82
108	480	410	2.34
109	480	390	2.11
110	530	470	1.34
111	550	500	2.53
112	720	500	2.75
113	640	630	3.14
114	690	580	2.25
115	640	600	1
116	690	400	2.79
117	470	330	2.39
118	480	460	2.15
119	540	590	0.75
120	510	380	3.06
121	560	500	2.5
122	600	510	2.78
123	690	490	2.44
124	590	480	1.11
125	580	340	3.12
126	650	500	2.17
127	630	490	0.12
128	530	320	2
129	650	490	3.22
130	620	430	1.88
131	690	440	2.04
132	720	740	2.58
133	590	440	2.16
134	630	500	2.5
135	700	480	1.85
136	630	540	1.46
137	620	400	2.95
138	470	410	0.8
139	586	697	0.91
140	586	670	2.67
141	700	500	2.51
142	550	570	1.79
143	505	518	2.42
144	515	285	0.58
145	774	688	3
146	570	570	2.76
147	580	540	3.35
148	560	530	3.8
149	650	570	2.38
150	440	430	2.58
151	570	750	3.18
152	476	576	2.87
153	680	700	3.16
154	490	480	3.07
155	590	490	3.68
156	590	580	3.34
157	650	490	1.93
158	480	520	2.43
159	670	490	3.28
160	710	600	3.66
161	570	570	2.29
162	540	460	2.19
163	620	510	3.06
164	630	470	3.41
165	630	700	3.14
166	610	460	2.85
167	720	680	3.47
168	640	590	3.44
169	650	500	3.9
170	640	430	3.65
171	740	460	1.32
172	600	660	3.23
173	650	430	2.86
174	510	440	2.51
175	550	510	2.86
176	570	530	3.34
177	630	560	3.33
178	710	470	3.69
179	620	470	1.8
180	417	518	2.57
181	600	600	2.28
182	460	460	1.6
183	300	290	2
184	560	480	1.69
185	590	420	3.06
186	559	435	2.75
187	550	440	2.62
188	550	660	0.39
189	650	350	2.44
190	610	520	3.46
191	530	480	2.37
192	480	360	1.25
193	550	450	2.8
194	560	420	2.14
195	430	330	2.45
196	490	400	2.71
197	590	470	2.59
198	690	510	2.93
199	570	480	2.53
200	550	600	1.95
201	510	570	3.39
202	470	420	2.69
203	470	330	1.94
204	510	360	3
205	450	460	2.09
206	530	550	1.85
207	490	410	3.34
208	530	510	2.25
209	580	490	4
210	580	490	2.72
211	620	420	2.61
212	430	460	2.32
213	500	390	3.39
214	590	580	3.64
215	620	600	1.8
216	520	570	1.52
217	480	480	3.4
218	640	470	2.86
219	640	560	3.32
220	600	440	2.07
221	510	480	0.85
222	356	350	1.86
223	630	470	2.59
224	559	488	2.28