The table presents gasoline mileage performance for 25 automobiles (Source: Motor Trend, 1975). Y X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 18.9 350 165 260 8 2.56 3 200.3 69.9 3910 A 20 250 105 185 8.25 2.73 1 3 196.7 72.2 3510 A 18.25 351 143 255 8 3 2 199.9 74 3890 A 20.07 225 8.4 2.76 95 215 170 1 3 194.1 71.8 3365 M 11.2 440 330 8.2 2.88 4 3 184.5 69 4215 A 22.12 231 110 175 8 2.56 2 3 179.3 65.4 3020 A 1905 2320 34.7 89.7 70 81 8.2 3.9 2 4 155.7 64 M 30.4 96.9 75 83 9 4.3 2 165.2 65 M 16.5 350 155 250 8.5 3.08 195.4 74.4 3885 А 36.5 85.3 80 83 8.5 3.89 2 4 160.6 62.2 2009 M 21.5 171 109 146 8.2 3.22 2 4 170.4 66.9 2655 M 19.7 258 110 195 8 3.08 1 3 171.5 77 3375 A 17.8 302 129 220 8 3 2 3 199.9 74 3890 A 14.39 500 190 360 8.5 2.73 4 3 224.1 79.8 5290 A 14.89 440 215 330 8.2 2.71 4 3 231 79.7 5185 A 350 231 17.8 155 250 8.5 3.08 4 3 196.7 72.2 3910 A 23.54 110 175 8 2.56 2 3 179.3 65.4 3050 A 21.47 360 180 290 8.4 2.45 3 214.2 76.3 4250 A 16.59 400 185 7.6 3.08 3 196 73 61.8 4 3850 A 31.9 96.9 75 83 9 4.3 5 165.2 2275 M 13.27 460 223 366 8 3 3 228 79.8 5430 A 23.9 133.6 96 120 8.4 3.91 171.5 63.4 2535 M 19.73 318 140 255 8.5 2.71 3 215.3 76.3 4370 A 13.9 351 148 243 8 3.25 3 215.5 78.5 4540 A 16.5 350 165 255 8.5 2.73 4 3 185.2 69 3660 A y: Miles/gallon X1: Displacement (cubic inches) x2: Horsepower (foot-pounds) x3: Torque (foot-pounds) Xg: Compression ratio Xg: Rear axle ratio Xg: Carburetor (barrels) x7: No. of transmission speeds Xg: Overall length (inches) Xg: Width (inches) X10: Weight (pounds) x1: Type of transmission (A-automatic, M–manual) 53
The table presents gasoline mileage performance for 25 automobiles (Source: Motor Trend, 1975). Y X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 18.9 350 165 260 8 2.56 3 200.3 69.9 3910 A 20 250 105 185 8.25 2.73 1 3 196.7 72.2 3510 A 18.25 351 143 255 8 3 2 199.9 74 3890 A 20.07 225 8.4 2.76 95 215 170 1 3 194.1 71.8 3365 M 11.2 440 330 8.2 2.88 4 3 184.5 69 4215 A 22.12 231 110 175 8 2.56 2 3 179.3 65.4 3020 A 1905 2320 34.7 89.7 70 81 8.2 3.9 2 4 155.7 64 M 30.4 96.9 75 83 9 4.3 2 165.2 65 M 16.5 350 155 250 8.5 3.08 195.4 74.4 3885 А 36.5 85.3 80 83 8.5 3.89 2 4 160.6 62.2 2009 M 21.5 171 109 146 8.2 3.22 2 4 170.4 66.9 2655 M 19.7 258 110 195 8 3.08 1 3 171.5 77 3375 A 17.8 302 129 220 8 3 2 3 199.9 74 3890 A 14.39 500 190 360 8.5 2.73 4 3 224.1 79.8 5290 A 14.89 440 215 330 8.2 2.71 4 3 231 79.7 5185 A 350 231 17.8 155 250 8.5 3.08 4 3 196.7 72.2 3910 A 23.54 110 175 8 2.56 2 3 179.3 65.4 3050 A 21.47 360 180 290 8.4 2.45 3 214.2 76.3 4250 A 16.59 400 185 7.6 3.08 3 196 73 61.8 4 3850 A 31.9 96.9 75 83 9 4.3 5 165.2 2275 M 13.27 460 223 366 8 3 3 228 79.8 5430 A 23.9 133.6 96 120 8.4 3.91 171.5 63.4 2535 M 19.73 318 140 255 8.5 2.71 3 215.3 76.3 4370 A 13.9 351 148 243 8 3.25 3 215.5 78.5 4540 A 16.5 350 165 255 8.5 2.73 4 3 185.2 69 3660 A y: Miles/gallon X1: Displacement (cubic inches) x2: Horsepower (foot-pounds) x3: Torque (foot-pounds) Xg: Compression ratio Xg: Rear axle ratio Xg: Carburetor (barrels) x7: No. of transmission speeds Xg: Overall length (inches) Xg: Width (inches) X10: Weight (pounds) x1: Type of transmission (A-automatic, M–manual) 53
Chapter4: Linear Functions
Section: Chapter Questions
Problem 8PT: Does Table 1 represent a linear function? If so, finda linear equation that models the data.
Related questions
Question
g. Im hoping for answers in MINITAB. Do not return my question. Let someone help me. In 4 decimal places answers.
Transcribed Image Text:The table presents gasoline mileage performance for 25 automobiles (Source: Motor Trend, 1975).
X4
X1
350
Y
X2
X3
X5
X6
X7
X8
X9
X10
X11
260
185
18.9
165
8
2.56
4
3
200.3
69.9
3910
A
20
250
105
8.25
2.73
3
196.7
72.2
3510
A
18.25
351
143
255
8
3
2
3
199.9
74
3890
A
20.07
225
95
170
8.4
2.76
1
3
194.1
71.8
3365
M
11.2
440
215
330
8.2
2.88
3
184.5
69
4215
A
22.12
231
110
175
8
2.56
2
3
179.3
65.4
3020
A
34.7
89.7
70
81
8.2
3.9
2
4
155.7
64
1905
M
30.4
96.9
75
83
9
4.3
2
5
165.2
65
2320
M
16.5
350
155
250
8.5
3.08
4
3
195.4
74.4
3885
A
36.5
85.3
80
83
8.5
3.89
4
160.6
62.2
2009
M
21.5
171
109
146
8.2
3.22
4
170.4
66.9
2655
M
19.7
258
110
195
8
3.08
1
3
171.5
77
3375
A
17.8
302
129
220
8
3
2
3
199.9
74
3890
A
14.39
500
190
360
8.5
2.73
4
3
224.1
79.8
5290
A
14.89
440
350
215
330
8.2
2.71
4
3
231
79.7
5185
A
17.8
155
250
8.5
3.08
3
196.7
72.2
3910
A
23.54
231
110
175
8
2.56
2
3
179.3
65.4
3050
A
21.47
360
180
290
8.4
2.45
2
3
214.2
76.3
4250
A
16.59
400
185
7.6
3.08
4
3
196
73
3850
A
96.9
165.2
228
31.9
75
83
9
4.3
2
5
61.8
2275
M
13.27
460
223
366
8
3
3
79.8
5430
A
23.9
133.6
96
120
8.4
3.91
5
171.5
63.4
2535
M
19.73
318
140
255
8.5
2.71
3
215.3
76.3
4370
A
13.9
351
148
243
8
3.25
3
215.5
78.5
4540
A
16.5
350
165
255
8.5
2.73
3
185.2
69
3660
A
y: Miles/gallon
x1: Displacement (cubic inches)
x2: Horsepower (foot-pounds)
x3: Torque (foot-pounds)
X4: Compression ratio
xs: Rear axle ratio
Xg: Carburetor (barrels)
x7: No. of transmission speeds
Xg: Overall length (inches)
X9: Width (inches)
X10: Weight (pounds)
X1: Type of transmission (A-automatic, M–manual)
22
4222N4
Transcribed Image Text:g.Perform stepwise regression, forward selection and backward elimination. Determine the reduced
regression model based on each method.
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