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A study was conducted to determine the effect of some car's features such as Engine size, Horsepower, Wheelbase, Width, Length, Curb weight, and Fuel capacity
A study was conducted to determine the effect of some car's features such as Engine size, Horsepower, Wheelbase, Width, Length, Curb weight, and Fuel capacity to car's Fuel Efficiency.
Using this data, perform multiple linear regression analysis.
engine_s | horsepower | wheelbase | width | length | curb_wgt | fuel_cap | mpg |
1.8 | 140 | 101.2 | 67.3 | 172.4 | 2.639 | 13.2 | 28 |
3.2 | 225 | 108.1 | 70.3 | 192.9 | 3.517 | 17.2 | 25 |
3.2 | 225 | 106.9 | 70.6 | 192 | 3.47 | 17.2 | 26 |
3.5 | 210 | 114.6 | 71.4 | 196.6 | 3.85 | 18 | 22 |
1.8 | 150 | 102.6 | 68.2 | 178 | 2.998 | 16.4 | 27 |
2.8 | 200 | 108.7 | 76.1 | 192 | 3.561 | 18.5 | 22 |
4.2 | 310 | 113 | 74 | 198.2 | 3.902 | 23.7 | 21 |
2.5 | 170 | 107.3 | 68.4 | 176 | 3.179 | 16.6 | 26 |
2.8 | 193 | 107.3 | 68.5 | 176 | 3.197 | 16.6 | 24 |
2.8 | 193 | 111.4 | 70.9 | 188 | 3.472 | 18.5 | 25 |
3.1 | 175 | 109 | 72.7 | 194.6 | 3.368 | 17.5 | 25 |
3.8 | 240 | 109 | 72.7 | 196.2 | 3.543 | 17.5 | 23 |
3.8 | 205 | 113.8 | 74.7 | 206.8 | 3.778 | 18.5 | 24 |
3.8 | 205 | 112.2 | 73.5 | 200 | 3.591 | 17.5 | 25 |
4.6 | 275 | 115.3 | 74.5 | 207.2 | 3.978 | 18.5 | 22 |
4.6 | 275 | 112.2 | 75 | 201 | 18.5 | 22 | |
4.6 | 275 | 108 | 75.5 | 200.6 | 3.843 | 19 | 22 |
3 | 200 | 107.4 | 70.3 | 194.8 | 3.77 | 18 | 22 |
5.7 | 255 | 117.5 | 77 | 201.2 | 5.572 | 30 | 15 |
2.2 | 115 | 104.1 | 67.9 | 180.9 | 2.676 | 14.3 | 27 |
3.1 | 170 | 107 | 69.4 | 190.4 | 3.051 | 15 | 25 |
3.1 | 175 | 107.5 | 72.5 | 200.9 | 3.33 | 16.6 | 25 |
3.4 | 180 | 110.5 | 72.7 | 197.9 | 3.34 | 17 | 27 |
3.8 | 200 | 101.1 | 74.1 | 193.2 | 3.5 | 16.8 | 25 |
5.7 | 345 | 104.5 | 73.6 | 179.7 | 3.21 | 19.1 | 22 |
1.8 | 120 | 97.1 | 66.7 | 174.3 | 2.398 | 13.2 | 33 |
1 | 55 | 93.1 | 62.6 | 149.4 | 1.895 | 10.3 | 45 |
3.4 | 180 | 110.5 | 73 | 200 | 3.389 | 17 | 27 |
2.5 | 163 | 103.7 | 69.7 | 190.9 | 2.967 | 15.9 | 24 |
2.5 | 168 | 106 | 69.2 | 193 | 3.332 | 16 | 24 |
2.7 | 200 | 113 | 74.4 | 209.1 | 3.452 | 17 | 26 |
2 | 132 | 108 | 71 | 186 | 2.911 | 16 | 27 |
3.5 | 253 | 113 | 74.4 | 207.7 | 3.564 | 17 | 23 |
3.5 | 253 | 113 | 74.4 | 197.8 | 3.567 | 17 | 23 |
2 | 132 | 105 | 74.4 | 174.4 | 2.567 | 12.5 | 29 |
2.5 | 163 | 103.7 | 69.1 | 190.2 | 2.879 | 15.9 | 24 |
2.5 | 168 | 108 | 71 | 186 | 3.058 | 16 | 24 |
2.7 | 202 | 113 | 74.7 | 203.7 | 3.489 | 17 | |
8 | 450 | 96.2 | 75.7 | 176.7 | 3.375 | 19 | 16 |
5.2 | 230 | 138.7 | 79.3 | 224.2 | 4.47 | 26 | 17 |
3.9 | 175 | 109.6 | 78.8 | 192.6 | 4.245 | 32 | 15 |
3.9 | 175 | 127.2 | 78.8 | 208.5 | 4.298 | 32 | 16 |
2.5 | 120 | 131 | 71.5 | 215 | 3.557 | 22 | 19 |
5.2 | 230 | 115.7 | 71.7 | 193.5 | 4.394 | 25 | 17 |
2.4 | 150 | 113.3 | 76.8 | 186.3 | 3.533 | 20 | 24 |
2 | 110 | 98.4 | 67 | 174.7 | 2.468 | 12.7 | 30 |
3.8 | 190 | 101.3 | 73.1 | 183.2 | 3.203 | 15.7 | 24 |
2.5 | 170 | 106.5 | 69.1 | 184.6 | 2.769 | 15 | 25 |
3 | 155 | 108.5 | 73 | 197.6 | 3.368 | 16 | 24 |
2 | 107 | 103 | 66.9 | 174.8 | 2.564 | 13.2 | 30 |
4.6 | 200 | 114.7 | 78.2 | 212 | 3.908 | 19 | 21 |
4 | 210 | 111.6 | 70.2 | 190.7 | 3.876 | 21 | 19 |
3 | 150 | 120.7 | 76.6 | 200.9 | 3.761 | 26 | 21 |
4.6 | 240 | 119 | 78.7 | 204.6 | 4.808 | 26 | 16 |
2.5 | 119 | 117.5 | 69.4 | 200.7 | 3.086 | 20 | 23 |
4.6 | 220 | 138.5 | 79.1 | 224.5 | 4.241 | 25.1 | 18 |
1.6 | 106 | 103.2 | 67.1 | 175.1 | 2.339 | 11.9 | 32 |
2.3 | 135 | 106.9 | 70.3 | 188.8 | 2.932 | 17.1 | 27 |
2 | 146 | 103.2 | 68.9 | 177.6 | 3.219 | 15.3 | 24 |
3.2 | 205 | 106.4 | 70.4 | 178.2 | 3.857 | 21.1 | 19 |
3.5 | 210 | 118.1 | 75.6 | 201.2 | 4.288 | 20 | 23 |
1.5 | 92 | 96.1 | 65.7 | 166.7 | 2.24 | 11.9 | 31 |
2 | 140 | 100.4 | 66.9 | 174 | 2.626 | 14.5 | 27 |
2.4 | 148 | 106.3 | 71.6 | 185.4 | 3.072 | 17.2 | 25 |
3 | 227 | 108.3 | 70.2 | 193.7 | 3.342 | 18.5 | 25 |
3 | 240 | 114.5 | 71.6 | 191.3 | 3.65 | 18.4 | 21 |
2.5 | 120 | 93.4 | 66.7 | 152 | 3.045 | 19 | 17 |
4 | 190 | 101.4 | 69.4 | 167.5 | 3.194 | 20 | 20 |
4 | 195 | 105.9 | 72.3 | 181.5 | 3.88 | 20.5 | 19 |
3 | 210 | 105.1 | 70.5 | 190.2 | 3.373 | 18.5 | 23 |
3 | 225 | 110.2 | 70.9 | 189.2 | 3.638 | 19.8 | 23 |
4 | 300 | 110.2 | 70.9 | 189.2 | 3.693 | 19.8 | 21 |
4 | 290 | 112.2 | 72 | 196.7 | 3.89 | 22.5 | 22 |
4.7 | 230 | 112.2 | 76.4 | 192.5 | 5.401 | 25.4 | 15 |
3 | 220 | 103 | 71.5 | 180.1 | 3.9 | 17.2 | 21 |
4.6 | 275 | 109 | 73.6 | 208.5 | 3.868 | 20 | 22 |
4.6 | 215 | 117.7 | 78.2 | 215.3 | 4.121 | 19 | 21 |
5.4 | 300 | 119 | 79.9 | 204.8 | 5.393 | 30 | 15 |
1.8 | 113 | 98.4 | 66.5 | 173.6 | 2.25 | 13.2 | 30 |
2.4 | 154 | 100.8 | 68.9 | 175.4 | 2.91 | 15.9 | 24 |
2.4 | 145 | 103.7 | 68.5 | 187.8 | 2.945 | 16.3 | 25 |
3.5 | 210 | 107.1 | 70.3 | 194.1 | 3.443 | 19 | 22 |
3 | 161 | 97.2 | 72.4 | 180.3 | 3.131 | 19.8 | 21 |
3.5 | 200 | 107.3 | 69.9 | 186.6 | 4.52 | 24.3 | 18 |
3 | 173 | 107.3 | 66.7 | 178.3 | 3.51 | 19.5 | 20 |
2 | 125 | 106.5 | 69.1 | 184.8 | 2.769 | 15 | 28 |
2 | 125 | 106.4 | 69.6 | 185 | 2.892 | 16 | 30 |
3 | 153 | 108.5 | 73 | 199.7 | 3.379 | 16 | 24 |
4.6 | 200 | 114.7 | 78.2 | 212 | 3.958 | 19 | 21 |
4 | 210 | 111.6 | 70.2 | 190.1 | 3.876 | 21 | 18 |
3.3 | 170 | 112.2 | 74.9 | 194.7 | 3.944 | 20 | 21 |
2.3 | 185 | 105.9 | 67.7 | 177.4 | 3.25 | 16.4 | 26 |
3.2 | 221 | 111.5 | 70.8 | 189.4 | 3.823 | 21.1 | 25 |
4.3 | 275 | 121.5 | 73.1 | 203.1 | 4.133 | 23.2 | 21 |
5 | 302 | 99 | 71.3 | 177.1 | 4.125 | 21.1 | 20 |
2.3 | 190 | 94.5 | 67.5 | 157.9 | 3.055 | 15.9 | 26 |
2.3 | 185 | 94.5 | 67.5 | 157.3 | 2.975 | 14 | 27 |
3.2 | 215 | 105.9 | 67.8 | 180.3 | 3.213 | 16.4 | 26 |
5 | 302 | 113.6 | 73.1 | 196.6 | 4.115 | 23.2 | 20 |
3.2 | 215 | 111 | 72.2 | 180.6 | 4.387 | 19 | 20 |
1.8 | 126 | 99.8 | 67.3 | 177.5 | 2.593 | 13.2 | 30 |
2.4 | 155 | 103.1 | 69.1 | 183.5 | 3.012 | 15.9 | 25 |
3 | 222 | 108.3 | 70.3 | 190.5 | 3.294 | 18.5 | 25 |
3.3 | 170 | 112.2 | 74.9 | 194.8 | 3.991 | 20 | 21 |
3.3 | 170 | 106.3 | 71.7 | 182.6 | 3.947 | 21 | 19 |
3.3 | 170 | 104.3 | 70.4 | 178 | 3.821 | 19.4 | 18 |
3.3 | 170 | 116.1 | 66.5 | 196.1 | 3.217 | 19.4 | 18 |
3.1 | 150 | 107 | 69.4 | 192 | 3.102 | 15.2 | 25 |
3.5 | 215 | 109 | 73.6 | 195.9 | 3.455 | 18 | |
2.4 | 150 | 107 | 70.1 | 186.7 | 2.958 | 15 | 27 |
4 | 250 | 113.8 | 74.4 | 205.4 | 3.967 | 18.5 | 22 |
4.3 | 190 | 107 | 67.8 | 181.2 | 4.068 | 17.5 | 19 |
3.4 | 185 | 120 | 72.2 | 201.4 | 3.948 | 25 | 22 |
2 | 132 | 105 | 74.4 | 174.4 | 2.559 | 12.5 | 29 |
2 | 132 | 108 | 71 | 186.3 | 2.942 | 16 | 27 |
2.4 | 150 | 113.3 | 76.8 | 186.3 | 3.528 | 20 | 24 |
3.5 | 253 | 113.3 | 76.3 | 165.4 | 2.85 | 12 | 21 |
2.4 | 150 | 104.1 | 68.4 | 181.9 | 2.906 | 15 | 27 |
3.4 | 175 | 107 | 70.4 | 186.3 | 3.091 | 15.2 | 25 |
3.8 | 200 | 101.1 | 74.5 | 193.4 | 3.492 | 16.8 | 25 |
3.8 | 195 | 110.5 | 72.7 | 196.5 | 3.396 | 18 | 25 |
3.8 | 205 | 112.2 | 72.6 | 202.5 | 3.59 | 17.5 | 24 |
3.4 | 185 | 120 | 72.7 | 201.3 | 3.942 | 25 | 23 |
2.7 | 217 | 95.2 | 70.1 | 171 | 2.778 | 17 | 22 |
3.4 | 300 | 92.6 | 69.5 | 174.5 | 3.032 | 17 | 21 |
3.4 | 300 | 92.6 | 69.5 | 174.5 | 3.075 | 17 | 23 |
2.3 | 170 | 106.4 | 70.6 | 189.2 | 3.28 | 18.5 | 23 |
2 | 185 | 102.6 | 67.4 | 182.2 | 2.99 | 16.9 | 23 |
1.9 | 100 | 102.4 | 66.4 | 176.9 | 2.332 | 12.1 | 33 |
1.9 | 100 | 102.4 | 66.4 | 180 | 2.367 | 12.1 | 33 |
1.9 | 124 | 102.4 | 66.4 | 176.9 | 2.452 | 12.1 | 31 |
2.2 | 137 | 106.5 | 69 | 190.4 | 3.075 | 13.1 | 27 |
2.2 | 137 | 106.5 | 69 | 190.4 | 2.91 | 13.1 | 28 |
2.5 | 165 | 103.5 | 67.5 | 185.8 | 3.415 | 16.9 | 25 |
2.5 | 165 | 99.4 | 68.3 | 175.2 | 3.125 | 15.9 | 24 |
1.8 | 120 | 97 | 66.7 | 174 | 2.42 | 13.2 | 33 |
2.2 | 133 | 105.2 | 70.1 | 188.5 | 2.998 | 18.5 | 27 |
3 | 210 | 107.1 | 71.7 | 191.9 | 3.417 | 18.5 | 26 |
1.8 | 140 | 102.4 | 68.3 | 170.5 | 2.425 | 14.5 | 31 |
2.4 | 142 | 103.3 | 66.5 | 178.7 | 2.58 | 15.1 | 23 |
3 | 194 | 114.2 | 73.4 | 193.5 | 3.759 | 20.9 | 22 |
2 | 127 | 94.9 | 66.7 | 163.8 | 2.668 | 15.3 | 27 |
2.7 | 150 | 105.3 | 66.5 | 183.3 | 3.44 | 18.5 | 23 |
4.7 | 230 | 112.2 | 76.4 | 192.5 | 5.115 | 25.4 | 15 |
2 | 115 | 98.9 | 68.3 | 163.3 | 2.767 | 14.5 | 26 |
2 | 115 | 98.9 | 68.3 | 172.3 | 2.853 | 14.5 | 26 |
1.8 | 150 | 106.4 | 68.5 | 184.1 | 3.043 | 16.4 | 27 |
2 | 115 | 97.4 | 66.7 | 160.4 | 3.079 | 13.7 | 26 |
2 | 115 | 98.9 | 68.3 | 163.3 | 2.762 | 14.6 | 26 |
2 | 115 | 98.9 | 67.9 | 161.1 | 2.769 | 14.5 | 26 |
1.9 | 160 | 100.5 | 67.6 | 176.6 | 2.998 | 15.8 | 25 |
1.9 | 160 | 100.5 | 67.6 | 176.6 | 3.042 | 15.8 | 25 |
2.4 | 168 | 104.9 | 69.3 | 185.9 | 3.208 | 17.9 | 25 |
2.4 | 168 | 104.9 | 69.3 | 186.2 | 3.259 | 17.9 | 25 |
2.3 | 236 | 104.9 | 71.5 | 185.7 | 3.601 | 18.5 | 23 |
2.9 | 201 | 109.9 | 72.1 | 189.8 | 3.6 | 21.1 | 24 |
Based on the result of your JASP / JAMOVI output, provide answers to the following questions:
- Determine the best fitted regression model.
- Write the equation of the regression model (best -fit model) and interpret all the Beta coefficients.
- Interpret the ANOVA for regression fit.
- Determine and interpret the coefficient of determination r2.
- What can we conclude about the relationship of the dependent and predictor variables?
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