obsGPAHSMHSSHSESATMSATCRSATWsex13.84101010630570590223.97101010750700630133.498109570510490241.95648640600610152.59810951049049026371010660680630171.78999630490510182.41667670620610192.8398105505705402100.67796407206301113.981010106305605402121.528876505504601132.82101096105404902143.091010106703305401153.79910105505805602163.291095804904202173.621010107206205701181.7410967805406201192.027566605206001202.291010106907506801213.13101096606205902222.9689666067075012341010106406206202242.898786206105701253.951010107707807601261.71101088007506501273.238886505904801282.078885705605601291.2926848049065023041010106306306202312.94910104905104901323.891010106807307401333.347767004204601343.5291087407406201353.751010106506906701363.556756304204001373.468995906005602382.027986906906401391.568566506005101403.971010107306606601411.368101059056051014241010106305804901433.31101096005705101442.288985904004801453.658996806506501462.34101096605306101472.068996505505702483.259786405405401493.451010106005705301502.319775805305101514101096305706301522.510976205504301533.088886205604902543.38109106706905501552.698665505104601563.649996005905902573.261010105104504702581.498995005405302592.938445504804701602.927987406006401613.991010107506106401623.2781094804505602633.0599107005605501643.3681095204904702650.035784604505001662.577985205505702673.337876104504802683.0689106305606502692.396896205304801702.21810105005105902712.9910101058048053027241010107606506301731.28775204805601743.2891096105404601753.871010106905805701762.528885104804602773.329995804904801781.029975605605602792.9169105807006402802.141010107006506401812.51010105204804401823.36109106405806301833.517986506406401842.366585405205202851.876787005805601863.451010107707607301872.968795005406102883.246786606406102893.3299107306406701903.711010107107606602913.18910106206205502923.59109106905805601932.938994905305502943.93910106907406702951.418896904104601961.96775407206501973.45101096406706002983.0691095904504601991.8588857052052011003.139101055053052011011.8177755051049011022.3896864058064021032.45910972067070011043.1967854051049021052.2377869062057011061.83571056055056021073.3878963064053021083.4398967060059011092.749777806106801110410101071060063021112.93881061048044011121.6878865053045011133.71910962050052021141.7278953061054021151.63109954060056021160.85109956052047011172.948101063070058011183.37109956046048011193.1588769067067011202.9610101055056049021213.4899971066061021222.0510101067055062021231.661091058048047021243.12109953048048021252.7899852049052021263.331091065058048021272.5767756055054011283.189971060073011292.3891063054050011302.741010857045059011312.1910101070053056011323.3610101069058057021333.0310101063054058021343.4989860066062021353.8810101074064069011362.7198951043050021372.5510101072080067011382.8288961055059021393.651091062053052011403.7510101077073077011412.5968959065063011421.9999954050048021432.5767658052056011443.99991068065059011452.311091059066048011462.75910958059052011471.7287752040043021483.739101063063062021493.621010864056054011503.231010106405103501 (a) Construct a linear model that predicts SAT math scores in terms of a students HS GPA.(b) Assess whether or not your model is useful to an α = 0.05 level of signifificance, and also test yourcoeffiffifficient β1 parameter to that same signifificance level.(c) Construct a second linear model that uses HS GPA, and HS Math exam scores as indpendentvariables to predict SATM. Perform a test for model utility on this model.(d) How much of the variability is explained in the fifirst model? How much in the second?(e) Perform a hypothesis test to assess whether or not your second model should be used over yourfifirst model.

Name: obsGPAHSMHSSHSESATMSATCRSATWsex13.84101010630570590223.971010107507006
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Description: obsGPAHSMHSSHSESATMSATCRSATWsex13.84101010630570590223.97101010750700630133.498109570510490241.95648640600610152.59810951049049026371010660680630171.78999630490510182.41667670620610192.8398105505705402100.67796407206301113.981010106305605402121.52887

Hello, your question consist of multiple parts I am solving the first three sub-parts of your…

Answered: a) Construct a linear model that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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obs	GPA	HSM	HSS	HSE	SATM	SATCR	SATW	sex
1	3.84	10	10	10	630	570	590	2
2	3.97	10	10	10	750	700	630	1
3	3.49	8	10	9	570	510	490	2
4	1.95	6	4	8	640	600	610	1
5	2.59	8	10	9	510	490	490	2
6	3	7	10	10	660	680	630	1
7	1.78	9	9	9	630	490	510	1
8	2.41	6	6	7	670	620	610	1
9	2.83	9	8	10	550	570	540	2
10	0.6	7	7	9	640	720	630	1
11	3.98	10	10	10	630	560	540	2
12	1.52	8	8	7	650	550	460	1
13	2.82	10	10	9	610	540	490	2
14	3.09	10	10	10	670	330	540	1
15	3.79	9	10	10	550	580	560	2
16	3.2	9	10	9	580	490	420	2
17	3.62	10	10	10	720	620	570	1
18	1.74	10	9	6	780	540	620	1
19	2.02	7	5	6	660	520	600	1
20	2.29	10	10	10	690	750	680	1
21	3.13	10	10	9	660	620	590	2
22	2.96	8	9	6	660	670	750	1
23	4	10	10	10	640	620	620	2
24	2.89	8	7	8	620	610	570	1
25	3.95	10	10	10	770	780	760	1
26	1.71	10	10	8	800	750	650	1
27	3.23	8	8	8	650	590	480	1
28	2.07	8	8	8	570	560	560	1
29	1.29	2	6	8	480	490	650	2
30	4	10	10	10	630	630	620	2
31	2.94	9	10	10	490	510	490	1
32	3.89	10	10	10	680	730	740	1
33	3.34	7	7	6	700	420	460	1
34	3.52	9	10	8	740	740	620	1
35	3.75	10	10	10	650	690	670	1
36	3.55	6	7	5	630	420	400	1
37	3.46	8	9	9	590	600	560	2
38	2.02	7	9	8	690	690	640	1
39	1.56	8	5	6	650	600	510	1
40	3.97	10	10	10	730	660	660	1
41	1.36	8	10	10	590	560	510	1
42	4	10	10	10	630	580	490	1
43	3.31	10	10	9	600	570	510	1
44	2.28	8	9	8	590	400	480	1
45	3.65	8	9	9	680	650	650	1
46	2.34	10	10	9	660	530	610	1
47	2.06	8	9	9	650	550	570	2
48	3.25	9	7	8	640	540	540	1
49	3.45	10	10	10	600	570	530	1
50	2.31	9	7	7	580	530	510	1
51	4	10	10	9	630	570	630	1
52	2.5	10	9	7	620	550	430	1
53	3.08	8	8	8	620	560	490	2
54	3.38	10	9	10	670	690	550	1
55	2.69	8	6	6	550	510	460	1
56	3.64	9	9	9	600	590	590	2
57	3.26	10	10	10	510	450	470	2
58	1.49	8	9	9	500	540	530	2
59	2.93	8	4	4	550	480	470	1
60	2.92	7	9	8	740	600	640	1
61	3.99	10	10	10	750	610	640	1
62	3.27	8	10	9	480	450	560	2
63	3.05	9	9	10	700	560	550	1
64	3.36	8	10	9	520	490	470	2
65	0.03	5	7	8	460	450	500	1
66	2.57	7	9	8	520	550	570	2
67	3.33	7	8	7	610	450	480	2
68	3.06	8	9	10	630	560	650	2
69	2.39	6	8	9	620	530	480	1
70	2.21	8	10	10	500	510	590	2
71	2.99	10	10	10	580	480	530	2
72	4	10	10	10	760	650	630	1
73	1.2	8	7	7	520	480	560	1
74	3.28	9	10	9	610	540	460	1
75	3.87	10	10	10	690	580	570	1
76	2.52	8	8	8	510	480	460	2
77	3.32	9	9	9	580	490	480	1
78	1.02	9	9	7	560	560	560	2
79	2.91	6	9	10	580	700	640	2
80	2.14	10	10	10	700	650	640	1
81	2.5	10	10	10	520	480	440	1
82	3.36	10	9	10	640	580	630	1
83	3.51	7	9	8	650	640	640	1
84	2.36	6	5	8	540	520	520	2
85	1.87	6	7	8	700	580	560	1
86	3.45	10	10	10	770	760	730	1
87	2.96	8	7	9	500	540	610	2
88	3.24	6	7	8	660	640	610	2
89	3.32	9	9	10	730	640	670	1
90	3.71	10	10	10	710	760	660	2
91	3.18	9	10	10	620	620	550	2
92	3.59	10	9	10	690	580	560	1
93	2.93	8	9	9	490	530	550	2
94	3.93	9	10	10	690	740	670	2
95	1.41	8	8	9	690	410	460	1
96	1.9	6	7	7	540	720	650	1
97	3.45	10	10	9	640	670	600	2
98	3.06	9	10	9	590	450	460	1
99	1.85	8	8	8	570	520	520	1
100	3.13	9	10	10	550	530	520	1
101	1.81	7	7	7	550	510	490	1
102	2.38	9	6	8	640	580	640	2
103	2.45	9	10	9	720	670	700	1
104	3.19	6	7	8	540	510	490	2
105	2.23	7	7	8	690	620	570	1
106	1.83	5	7	10	560	550	560	2
107	3.38	7	8	9	630	640	530	2
108	3.43	9	8	9	670	600	590	1
109	2.74	9	7	7	780	610	680	1
110	4	10	10	10	710	600	630	2
111	2.93	8	8	10	610	480	440	1
112	1.68	7	8	8	650	530	450	1
113	3.71	9	10	9	620	500	520	2
114	1.72	7	8	9	530	610	540	2
115	1.63	10	9	9	540	600	560	2
116	0.85	10	9	9	560	520	470	1
117	2.94	8	10	10	630	700	580	1
118	3.37	10	9	9	560	460	480	1
119	3.15	8	8	7	690	670	670	1
120	2.96	10	10	10	550	560	490	2
121	3.48	9	9	9	710	660	610	2
122	2.05	10	10	10	670	550	620	2
123	1.66	10	9	10	580	480	470	2
124	3.12	10	9	9	530	480	480	2
125	2.78	9	9	8	520	490	520	2
126	3.33	10	9	10	650	580	480	2
127	2.57	6	7	7	560	550	540	1
128	3.1	8	9	9	710	600	730	1
129	2.3	8	9	10	630	540	500	1
130	2.74	10	10	8	570	450	590	1
131	2.19	10	10	10	700	530	560	1
132	3.36	10	10	10	690	580	570	2
133	3.03	10	10	10	630	540	580	2
134	3.49	8	9	8	600	660	620	2
135	3.88	10	10	10	740	640	690	1
136	2.71	9	8	9	510	430	500	2
137	2.55	10	10	10	720	800	670	1
138	2.82	8	8	9	610	550	590	2
139	3.65	10	9	10	620	530	520	1
140	3.75	10	10	10	770	730	770	1
141	2.59	6	8	9	590	650	630	1
142	1.99	9	9	9	540	500	480	2
143	2.57	6	7	6	580	520	560	1
144	3.99	9	9	10	680	650	590	1
145	2.31	10	9	10	590	660	480	1
146	2.75	9	10	9	580	590	520	1
147	1.72	8	7	7	520	400	430	2
148	3.73	9	10	10	630	630	620	2
149	3.62	10	10	8	640	560	540	1
150	3.23	10	10	10	640	510	350	1

(a) Construct a linear model that predicts SAT math scores in terms of a students HS GPA.

(b) Assess whether or not your model is useful to an α = 0.05 level of signifificance, and also test your

coeffiffifficient β1 parameter to that same signifificance level.

variables to predict SATM. Perform a test for model utility on this model.

(d) How much of the variability is explained in the fifirst model? How much in the second?

(e) Perform a hypothesis test to assess whether or not your second model should be used over your

fifirst model.

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