QUESTION (See screenshot below)

Dataset screenshot available below.

rating for highway driving in terms of miles per gallon. The complete data set is contained in the DATAfile named FuelData. Click on the datafile logo to reference the data. DATA file (a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement. Let x represent the engine's displacement. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300 ) y^= Is there a relationship between HwyMPG and displacement at the 0.05 level of significance? - Select your answer - How much of the variation in the sample values of HwyMPG is is explained by this estimated regression equation? If required, round your answer to one decimal places. % (i) (ii) What does this chart suggest about the relationship between the class of automobile (compact, midsize, and large) and HwyMPG? This chart suggests that for each class of automobile (compact, midsize, and large) HwyMPG as displacement increases. The chart also suggests that automobiles generally have the highest HwyMPG while automobiles generally have the lowest HwyMPG. 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 three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300 ) y^=+x1+x2+x3 How much of the variation in the sample values of HwyMG does this estimated regression equation explain? If required, round your answer to one decimal places. % 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 three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300 ) y^=+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 one decimal places. % large automobiles and compact automobiles. There is a difference in HwyMPG between premium fuel and regular fuel. HwyMPG between large automobiles and compact automobiles. There is not a difference in HwyMPG between premium fuel and regular fuel. difference in HwyMPG between large automobiles and compact automobiles. There is not a difference in HwyMPG between premium fuel and regular fuel. not a difference in HwyMPG between large automobiles and compact automobiles. There is not a difference in HwyMPG between premium fuel and regular fuel. \begin{tabular}{|c|c|c|r|c|c|} \hline & A & B & C & D & E \\ \hline 1 & Car & Class & Displacement & Fuel Type & Hwy MPG \\ \hline 2 & 1 & Compact & 3.1 & P & 25 \\ \hline 3 & 2 & Compact & 3.1 & P & 25 \\ \hline 4 & 3 & Compact & 3 & P & 25 \\ \hline 5 & 4 & Compact & 3 & P & 25 \\ \hline 6 & 5 & Compact & 3 & P & 25 \\ \hline 7 & 6 & Compact & 3 & P & 25 \\ \hline 8 & 7 & Compact & 2.4 & P & 25 \\ \hline 9 & 8 & Compact & 3.5 & P & 25 \\ \hline 10 & 9 & Compact & 3 & P & 25 \\ \hline 11 & 10 & Compact & 2.4 & P & 24 \\ \hline 12 & 11 & Compact & 2.8 & P & 24 \\ \hline 13 & 12 & Compact & 2.5 & P & 24 \\ \hline 14 & 13 & Compact & 3 & P & 24 \\ \hline 15 & 14 & Compact & 2.5 & P & 24 \\ \hline 16 & 15 & Compact & 2.4 & R & 24 \\ \hline 17 & 16 & Compact & 5.3 & P & 24 \\ \hline 18 & 17 & Compact & 6 & P & 24 \\ \hline 19 & 18 & Compact & 3.5 & R & 24 \\ \hline 20 & 19 & Compact & 3.5 & R & 24 \\ \hline 21 & 20 & Compact & 3.5 & R & 24 \\ \hline 22 & 21 & Compact & 3.5 & R & 24 \\ \hline 23 & 22 & Compact & 3.5 & R & 24 \\ \hline 24 & 23 & Compact & 3.8 & R & 24 \\ \hline 25 & 24 & Compact & 3.5 & R & 24 \\ \hline 26 & 25 & Compact & 3.5 & P & 24 \\ \hline 27 & 26 & Compact & 5.3 & P & 24 \\ \hline 28 & 27 & Compact & 4.6 & P & 24 \\ \hline 29 & 28 & Compact & 3.5 & P & 24 \\ \hline 30 & 29 & Compact & 4.2 & P & 24 \\ \hline 31 & 30 & Compact & 4.6 & P & 24 \\ \hline 33 & 31 & Compact & 4.6 & P & 24 \\ \hline 35 & 32 & Compact & 4.6 & P & 24 \\ \hline 33 & Compact & 3.5 & P & 24 \\ \hline 34 & Compact & 3.6 & P & 24 \\ \hline \end{tabular} \begin{tabular}{|r|r|r|r|r|r|} \hline 36 & 35 & Compact & 3.2 & P & 24 \\ \hline 37 & 36 & Compact & 3.2 & P & 24 \\ \hline 38 & 37 & Compact & 3.5 & R & 24 \\ \hline 39 & 38 & Compact & 2.4 & R & 24 \\ \hline 40 & 39 & Compact & 3.5 & R & 24 \\ \hline 41 & 40 & Compact & 3.5 & R & 24 \\ \hline 42 & 41 & Compact & 3.2 & P & 23 \\ \hline 43 & 42 & Compact & 4.2 & P & 23 \\ \hline 44 & 43 & Compact & 4.8 & P & 23 \\ \hline 45 & 44 & Compact & 4.8 & P & 23 \\ \hline 46 & 45 & Compact & 3.5 & P & 23 \\ \hline 47 & 46 & Compact & 4.6 & R & 23 \\ \hline 48 & 47 & Compact & 4.6 & R & 23 \\ \hline 49 & 48 & Compact & 5.7 & R & 23 \\ \hline 50 & 49 & Compact & 5.7 & R & 23 \\ \hline 51 & 50 & Compact & 4.6 & R & 23 \\ \hline 52 & 51 & Compact & 4.6 & R & 23 \\ \hline 53 & 52 & Compact & 4.2 & P & 23 \\ \hline 54 & 53 & Compact & 4.2 & P & 23 \\ \hline 55 & 54 & Compact & 4.8 & P & 23 \\ \hline 56 & 55 & Compact & 3.5 & P & 23 \\ \hline 57 & 56 & Compact & 3 & P & 23 \\ \hline 58 & 57 & Compact & 4.4 & P & 23 \\ \hline 59 & 58 & Compact & 3 & P & 22 \\ \hline 60 & 59 & Compact & 3.9 & R & 22 \\ \hline 61 & 60 & Compact & 3.5 & P & 22 \\ \hline 62 & 61 & Compact & 4.2 & P & 22 \\ \hline 63 & 62 & Compact & 4.2 & P & 22 \\ \hline 64 & 63 & Compact & 4.6 & R & 22 \\ \hline 65 & 64 & Compact & 4.6 & R & 22 \\ \hline 66 & 65 & Compact & 3.5 & R & 22 \\ \hline 67 & 66 & Compact & 5.7 & R & 22 \\ \hline 68 & 67 & Compact & 5.7 & R & 22 \\ \hline 69 & 68 & Compact & 3.5 & R & 22 \\ \hline \end{tabular} \begin{tabular}{|r|r|r|r|r|r|} \hline 139 & 138 & Midsize & 2.4 & R & 31 \\ \hline 140 & 139 & Midsize & 2.4 & R & 31 \\ \hline 141 & 140 & Midsize & 2.4 & R & 31 \\ \hline 142 & 141 & Midsize & 2.4 & R & 31 \\ \hline 143 & 142 & Midsize & 2.4 & R & 31 \\ \hline 145 & 143 & Midsize & 2.2 & R & 31 \\ \hline 146 & 144 & Midsize & 2.4 & R & 31 \\ \hline 147 & 146 & Midsize & 2.4 & R & 31 \\ \hline 148 & 147 & Midsize & 2.5 & R & 31 \\ \hline 149 & 148 & Midsize & 1.8 & R & 31 \\ \hline 150 & 149 & Midsize & 2 & R & 31 \\ \hline 151 & 150 & Midsize & 2.4 & R & 31 \\ \hline 152 & 151 & Midsize & 2.4 & R & 31 \\ \hline 153 & 152 & Midsize & 2 & P & 30 \\ \hline 154 & 153 & Midsize & 2.4 & R & 30 \\ \hline 155 & 154 & Midsize & 2.4 & R & 30 \\ \hline 156 & 155 & Midsize & 2 & R & 30 \\ \hline 157 & 156 & Midsize & 2.4 & R & 30 \\ \hline 158 & 157 & Midsize & 2.4 & R & 30 \\ \hline 159 & 158 & Midsize & 2.4 & R & 30 \\ \hline 160 & 159 & Midsize & 2.4 & R & 30 \\ \hline 161 & 160 & Midsize & 2 & R & 30 \\ \hline 162 & 161 & Midsize & 2.5 & R & 30 \\ \hline 163 & 162 & Midsize & 2.4 & R & 30 \\ \hline 164 & 163 & Midsize & 2 & P & 29 \\ \hline 165 & 164 & Midsize & 2 & P & 29 \\ \hline 166 & 165 & Midsize & 2 & P & 29 \\ \hline 167 & 166 & Midsize & 2 & P & 29 \\ \hline 168 & 167 & Midsize & 2 & P & 29 \\ \hline 169 & 168 & Midsize & 2.3 & R & 29 \\ \hline 170 & 169 & Midsize & R & R & 29 \\ \hline 171 & 170 & Midsize & 2 & R & 29 \\ \hline 173 & 171 & Midsize & 3.5 & R & 29 \\ \hline 172 & Midsize & 2.5 & R & 29 \\ \hline \end{tabular} \begin{tabular}{|r|r|r|r|l|l|} \hline 244 & 243 & Midsize & 2.4 & R & 27 \\ \hline 245 & 244 & Midsize & 3 & R & 26 \\ \hline 246 & 245 & Midsize & 3 & R & 26 \\ \hline 247 & 246 & Midsize & 3.6 & R & 26 \\ \hline 248 & 247 & Large & 3 & P & 26 \\ \hline 249 & 248 & Large & 3 & P & 26 \\ \hline 250 & 249 & Large & 3 & P & 26 \\ \hline 251 & 250 & Large & 2 & P & 26 \\ \hline 252 & 251 & Large & 2.8 & P & 26 \\ \hline 253 & 252 & Large & 2.5 & P & 26 \\ \hline 254 & 253 & Large & 2.5 & P & 26 \\ \hline 255 & 254 & Large & 2.5 & P & 26 \\ \hline 256 & 255 & Large & 2.4 & P & 26 \\ \hline 257 & 256 & Large & 2.4 & P & 26 \\ \hline 258 & 257 & Large & 2.4 & R & 26 \\ \hline 259 & 258 & Large & 3.5 & R & 26 \\ \hline 260 & 259 & Large & 3.6 & R & 26 \\ \hline 261 & 260 & Large & 3.3 & R & 26 \\ \hline 262 & 261 & Large & 2.7 & R & 26 \\ \hline 263 & 262 & Large & 2.7 & R & 26 \\ \hline 264 & 263 & Large & 3.8 & R & 26 \\ \hline 265 & 264 & Large & 3.3 & R & 26 \\ \hline 266 & 265 & Large & 3.2 & P & 26 \\ \hline 267 & 266 & Large & 3.5 & P & 26 \\ \hline 268 & 267 & Large & 3 & P & 26 \\ \hline 269 & 268 & Large & 3 & P & 26 \\ \hline 270 & 269 & Large & 3.3 & P & 26 \\ \hline 271 & 270 & Large & 3.3 & P & 26 \\ \hline 272 & 271 & Large & 3.6 & P & 26 \\ \hline 273 & 272 & Large & P & 26 \\ \hline 274 & 273 & Large & R & 26 \\ \hline 275 & 274 & Large & R & 26 \\ \hline 276 & 275 & Large & R & 26 \\ \hline 277 & 276 & Large & R & 26 \\ \hline 278 & 277 & Large & 3.6 & 26 \\ \hline \end{tabular}