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Question: Car Class Displacement Fuel Type Hwy MPG 1 Compact 3.1 P 25 2 Compact 3.1 P 25 3 Compact 3 P 25 4 Compact

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Car Class Displacement Fuel Type Hwy MPG
1 Compact 3.1 P 25
2 Compact 3.1 P 25
3 Compact 3 P 25
4 Compact 3 P 25
5 Compact 3 P 25
6 Compact 3 P 25
7 Compact 2.4 P 25
8 Compact 3.5 P 25
9 Compact 3 P 25
10 Compact 2.4 P 24
11 Compact 2.8 P 24
12 Compact 2.5 P 24
13 Compact 3 P 24
14 Compact 2.5 P 24
15 Compact 2.4 R 24
16 Compact 5.3 P 24
17 Compact 6 P 24
18 Compact 3.5 R 24
19 Compact 3.5 R 24
20 Compact 3.5 R 24
21 Compact 3.5 R 24
22 Compact 3.5 R 24
23 Compact 3.8 R 24
24 Compact 3.5 R 24
25 Compact 3.5 P 24
26 Compact 5.3 P 24
27 Compact 4.6 P 24
28 Compact 3.5 P 24
29 Compact 4.2 P 24
30 Compact 4.6 P 24
31 Compact 4.6 P 24
32 Compact 4.6 P 24
33 Compact 3.5 P 24
34 Compact 3.6 P 24
35 Compact 3.2 P 24
36 Compact 3.2 P 24
37 Compact 3.5 R 24
38 Compact 2.4 R 24
39 Compact 3.5 R 24
40 Compact 3.5 R 24
41 Compact 3.2 P 23
42 Compact 4.2 P 23
43 Compact 4.8 P 23
44 Compact 4.8 P 23
45 Compact 3.5 P 23
46 Compact 4.6 R 23
47 Compact 4.6 R 23
48 Compact 5.7 R 23
49 Compact 5.7 R 23
50 Compact 4.6 R 23
51 Compact 4.6 R 23
52 Compact 4.2 P 23
53 Compact 4.2 P 23
54 Compact 4.8 P 23
55 Compact 3.5 P 23
56 Compact 3 P 23
57 Compact 4.4 P 23
58 Compact 3 P 22
59 Compact 3.9 R 22
60 Compact 3.5 P 22
61 Compact 4.2 P 22
62 Compact 4.2 P 22
63 Compact 4.6 R 22
64 Compact 4.6 R 22
65 Compact 3.5 R 22
66 Compact 5.7 R 22
67 Compact 5.7 R 22
68 Compact 3.5 R 22
69 Compact 4.8 P 22
70 Compact 3 P 22
71 Compact 4.2 P 22
72 Compact 5 P 22
73 Compact 3.5 P 22
74 Compact 5.5 P 22
75 Compact 4.2 P 21
76 Compact 5.5 P 21
77 Compact 5.5 P 21
78 Compact 4.5 P 21
79 Compact 5.5 P 21
80 Compact 4.6 P 21
81 Compact 4.2 P 20
82 Compact 4.2 P 20
83 Compact 6 P 20
84 Compact 4.5 P 20
85 Compact 5.5 P 20
86 Compact 6 P 19
87 Compact 5.2 P 19
88 Compact 5.2 P 19
89 Compact 4.4 P 19
90 Compact 5.5 P 19
91 Compact 6.2 P 19
92 Compact 6.2 P 18
93 Compact 6.2 P 18
94 Compact 6.1 P 18
95 Compact 6.1 P 18
96 Compact 4.6 R 18
97 Compact 4.6 R 18
98 Compact 6.1 P 18
99 Compact 5.5 P 17
100 Compact 5.5 P 17
101 Compact 6.2 P 17
102 Compact 6 P 17
103 Compact 5.5 P 17
104 Compact 5 P 17
105 Compact 5 P 17
106 Compact 5.5 P 16
107 Compact 6 P 16
108 Compact 5.5 P 16
109 Compact 6 P 16
110 Compact 5.7 P 16
111 Compact 5.7 P 15
112 Midsize 1.8 R 37
113 Midsize 2 R 35
114 Midsize 1.6 R 35
115 Midsize 1.8 R 35
116 Midsize 1.6 R 34
117 Midsize 2.4 R 34
118 Midsize 2 R 33
119 Midsize 1.6 R 33
120 Midsize 2 R 33
121 Midsize 2 R 33
122 Midsize 1.8 R 33
123 Midsize 2.5 R 33
124 Midsize 2 R 33
125 Midsize 1.6 R 32
126 Midsize 1.6 R 32
127 Midsize 1.6 R 32
128 Midsize 2 R 32
129 Midsize 2.4 R 32
130 Midsize 2 R 32
131 Midsize 1.8 R 32
132 Midsize 2.5 R 32
133 Midsize 2.4 R 32
134 Midsize 2 P 31
135 Midsize 2.4 R 31
136 Midsize 2 R 31
137 Midsize 2 R 31
138 Midsize 2.4 R 31
139 Midsize 2.4 R 31
140 Midsize 2.4 R 31
141 Midsize 2.4 R 31
142 Midsize 2.4 R 31
143 Midsize 2.2 R 31
144 Midsize 2.4 R 31
145 Midsize 2.4 R 31
146 Midsize 2.5 R 31
147 Midsize 1.8 R 31
148 Midsize 2 R 31
149 Midsize 2.4 R 31
150 Midsize 2.4 R 31
151 Midsize 2 P 30
152 Midsize 2.4 R 30
153 Midsize 2.4 R 30
154 Midsize 2 R 30
155 Midsize 2.4 R 30
156 Midsize 2.4 R 30
157 Midsize 2.4 R 30
158 Midsize 2.4 R 30
159 Midsize 2 R 30
160 Midsize 2.5 R 30
161 Midsize 2.4 R 30
162 Midsize 2 P 29
163 Midsize 2 P 29
164 Midsize 2 P 29
165 Midsize 2 P 29
166 Midsize 2 P 29
167 Midsize 2.3 R 29
168 Midsize 2.3 R 29
169 Midsize 2 R 29
170 Midsize 2 R 29
171 Midsize 3.5 R 29
172 Midsize 2.5 R 29
173 Midsize 2.5 R 29
174 Midsize 2.5 R 29
175 Midsize 2.5 R 29
176 Midsize 3.5 R 29
177 Midsize 3.5 R 29
178 Midsize 3.5 R 29
179 Midsize 2.5 P 29
180 Midsize 2 P 29
181 Midsize 3.5 R 29
182 Midsize 1.8 R 29
183 Midsize 2.4 R 29
184 Midsize 2.3 R 29
185 Midsize 2.3 R 29
186 Midsize 2.3 R 29
187 Midsize 3.5 R 29
188 Midsize 2.4 P 28
189 Midsize 2.4 P 28
190 Midsize 2 P 28
191 Midsize 3 P 28
192 Midsize 3 P 28
193 Midsize 2.5 P 28
194 Midsize 2.5 P 28
195 Midsize 2.4 P 28
196 Midsize 2.4 P 28
197 Midsize 2.4 P 28
198 Midsize 2.4 P 28
199 Midsize 3.5 R 28
200 Midsize 2 R 28
201 Midsize 2 R 28
202 Midsize 2 R 28
203 Midsize 2 R 28
204 Midsize 3.9 R 28
205 Midsize 3.5 R 28
206 Midsize 3.3 R 28
207 Midsize 3.5 R 28
208 Midsize 3.5 R 28
209 Midsize 3 P 28
210 Midsize 2.3 P 28
211 Midsize 2 P 28
212 Midsize 3.8 R 28
213 Midsize 3.5 R 28
214 Midsize 2.3 R 28
215 Midsize 2.7 R 28
216 Midsize 2.3 R 28
217 Midsize 3.5 R 28
218 Midsize 2.3 R 28
219 Midsize 3.8 R 28
220 Midsize 3.5 R 28
221 Midsize 2 P 27
222 Midsize 3.1 P 27
223 Midsize 2.5 P 27
224 Midsize 2.5 P 27
225 Midsize 2.5 P 27
226 Midsize 2.5 P 27
227 Midsize 2.5 R 27
228 Midsize 2.5 R 27
229 Midsize 2.5 R 27
230 Midsize 2.5 R 27
231 Midsize 3.3 R 27
232 Midsize 3.5 P 27
233 Midsize 3.1 P 27
234 Midsize 3 P 27
235 Midsize 3.5 P 27
236 Midsize 3.5 P 27
237 Midsize 3.5 P 27
238 Midsize 2.7 R 27
239 Midsize 2.7 R 27
240 Midsize 2.7 R 27
241 Midsize 2 R 27
242 Midsize 2.7 R 27
243 Midsize 2.4 R 27
244 Midsize 3 R 26
245 Midsize 3 R 26
246 Midsize 3.6 R 26
247 Large 3 P 26
248 Large 3 P 26
249 Large 3 P 26
250 Large 2 P 26
251 Large 2.8 P 26
252 Large 2.5 P 26
253 Large 2.5 P 26
254 Large 2.5 P 26
255 Large 2.4 P 26
256 Large 2.4 P 26
257 Large 2.4 R 26
258 Large 3.5 R 26
259 Large 3.6 R 26
260 Large 3.3 R 26
261 Large 2.7 R 26
262 Large 2.7 R 26
263 Large 3.8 R 26
264 Large 3.3 R 26
265 Large 3.2 P 26
266 Large 3.5 P 26
267 Large 3 P 26
268 Large 3 P 26
269 Large 3 P 26
270 Large 2.3 P 26
271 Large 3.5 P 26
272 Large 2.3 P 26
273 Large 3.6 P 26
274 Large 3.6 R 26
275 Large 3.6 R 26
276 Large 3.6 R 26
277 Large 3.6 R 26
278 Large 3.6 R 26
279 Large 3.6 R 26
280 Large 3.5 R 26
281 Large 3.5 R 26
282 Large 3 P 25
283 Large 3.5 P 25
284 Large 2.5 P 25
285 Large 2.5 P 25
286 Large 2.5 P 25
287 Large 2.5 P 25
288 Large 3.5 R 25
289 Large 4.2 P 25
290 Large 4.2 P 25
291 Large 4.2 P 25
292 Large 3.8 R 25
293 Large 3.1 P 25
294 Large 3 P 25
295 Large 3 P 25
296 Large 3 P 25
297 Large 3 P 25
298 Large 3.5 P 25
299 Large 3.5 P 25
300 Large 3.8 P 25
301 Large 3.5 P 25
302 Large 5.3 P 25
303 Large 3.6 R 25
304 Large 3.6 R 25
305 Large 3.6 R 25
306 Large 3.6 R 25
307 Large 2.4 R 25
308 Large 3 R 25
309 Large 3 R 25
310 Large 3 R 25
311 Large 3 R

25

Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge.
Let x1 represent engine's displacement.
Let x2 represent variable ClassMidsize.
Let x3 represent variable ClassLarge.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
= + x1 + x2 + x3
How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?
If required, round your answer to two decimal places.
%
(d) Use significance level of 0.05 to determine whether the dummy variables added to the model in part (c) are significant. Explain.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
(e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium.
Let x1 represents engine's displacement.
Let x2 represents variable ClassMidsize.
Let x3 represents variable ClassLarge.
Let x4 represents variable FuelPremium.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
= + x1 + x2 + x3 + x4
How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?
If required, round your answer to two decimal places.
%
(f) For the estimated regression equation developed in part (e), test for the significance of an overall regression relationship and relationships between each of the independent variables and the dependent variable using the 0.05 level of significance for each test. Explain

The input in the box below will not be graded, but may be reviewed and considered by your instru

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