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 4 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 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 4 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 2 165.2 65 2320 M 16.5 350 155 250 8.5 3.08 4 3 195.4 74.4 3885 A 85.3 80 109 2009 36.5 21.5 83 8.5 3.89 4 160.6 62.2 M 171 146 8.2 3.22 2 4 170.4 66.9 2655 M 195 220 19.7 258 110 8 3.08 1 3 171.5 77 3375 A 17.8 302 129 8 3 3 199.9 74 3890 A 14.39 500 190 360 8.5 2.73 4 224.1 79.8 5290 A 330 5185 8.2 8.5 2.71 3.08 14.89 440 215 4 3 231 79.7 A 17.8 350 155 250 4 3 196.7 72.2 3910 A 23.54 231 110 175 8 2.56 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 31.9 96.9 75 83 9 4.3 2 5 165.2 61.8 2275 M 13.27 460 223 366 8 3 4 3 228 79.8 5430 A 23.9 133.6 96 120 8.4 3.91 5 171.5 63.4 2535 M 19.73 2.71 76.3 78.5 318 140 148 255 8.5 3 215.3 4370 A 13.9 351 243 8 3.25 3 215.5 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) X4: Compression ratio Xg: Rear axle ratio xg: Carburetor (barrels) Xy: No. of transmission speeds Xg: Overall length (inches) Xg: Width (inches) X10: Weight (pounds) X1: Type of transmission (A-automatic, M–manual) O co

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b. Round off in 4 decimal places. With complete solution and box the final answer.

b.Test for significance of the regression using ANOVA if a=0.05.
minw
Transcribed Image Text:b.Test for significance of the regression using ANOVA if a=0.05. minw
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: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
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