Question: [Regression: Multiple] Estimate a multiple regression model with SC Index as the dependent variable and Salary, Cars, Home, and Savings as independent variables. Based on
[Regression: Multiple] Estimate a multiple regression model with SC Index as the dependent variable and Salary, Cars, Home, and Savings as independent variables. Based on regression ANOVA table we ________ the null hypothesis that ____________ and conclude that __________.
| | | reject, all slope coefficients equal zero in the population, there is at leat one dependent variable that has a statistically significant effect on the independent variable |
| | | fail to reject, all slope coefficients equal zero in the population, there is at leat one independent variable that has a statistically significant effect on the dependent variable |
| | | reject, all slope coefficients equal zero in the population, there is at leat one independent variable that has a statistically significant effect on the dependent variable |
| | | fail to reject, all slope coefficients equal zero in the population, there is at leat one dependent variable that has a statistically significant effect on the independent variable |
| | | reject, all slope coefficients equal zero in the population, all independent variables have a statistically significant effect on the dependent variable |
[Regression: Simple] Estimate a regression model with Cars as independent variable and Savings as the dependent variable. Report the correlation coefficient between the two variables, proportion of explained variation in the dependent variable, and slope coefficient of the estimated regression equation. These values are ______, ______, and ______ respectively.
| | | 0.38, 3518989, 11.07 |
| | | -0.38, 0.15, -11.07 |
| | | -0.38, 3518989, -11.07 |
| | | 0.38, 0.15, -11.07 |
| | | -0.38, 0.15, 973.98 |
[ANOVA] Treat Educ Level as a categorical variable. Test the hypothesis that mean Salary is the same across the four education groups. Report R square value for this ANOVA model.
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Edug Level Salary Couple 1 2 3 N N A Home Savings SC Index 289 3 1130 3 583 5 46 4 3 7 24 42 2 Cars 83 134 110 69 153 127 98 191 119 147 5 6 7 8 9 10 35 34 1049 612 650 675 347 2 7. 9 130 126 73 111 140 52 99 101 134 62 139 4 53 33 420 2 2 6 3 10 11 12 132 208 553 50 36 13 IS 91 258 221 124 1 8 4 5 NA 104 16 17 18 19 184 50 630 698 1247 2 1 4 10 471 193 265 157 177 183 54 88 119 125 87 73 114 104 112 106 103 135 96 70 150 176 183 385 815 810 572 521 166 817 4 4 3 10 3 4 3 3 28 29 30 31 32 33 34 35 4 21 21 34 39 55 26 104 103 164 127 270 66 57 50 61 165 156 88 231 125 107 146 182 1 1 1 6 500 320 325 623 335 5 1 2 4 9 2 508 4 686 61 344 107 83 71 71 116 65 68 140 88 161 102 1 105 121 477 788 91 513 590 46 4 2 47 48 49 50 51 NNN 306 894 509 867 345 372 481 172 51 176 214 80 229 50 88 272 100 64 254 140 142 250 59 122 103 8 2 2 6 3 6 4 6 9 2 4 N 980 5 77 103 110 115 102 63 103 121 100 99 119 121 89 86 83 71 113 119 75 147 78 110 8 5 ANNA 58 59 60 61 62 63 64 65 66 67 68 69 70 71 979 753 5 535 557 589 533 797 + 78 66 N N 3 3 3 3 1 3 1084 694 126 352 561 517 360 415 251 622 289 690 642 435 359 137 Dua WON AWONNNA 195 134 151 184 130 119 172 165 172 67 125 140 157 261 198 246 50 160 122 100 2 1 51 4 136 126 2 2 1255 489 119 107 6 6 5 93 2 2 4 108 6 117 106 3 2 122 99 124 138 130 238 129 148 186 57 170 199 99 69 296 157 184 112 83 103 120 778 331 651 525 59 551 1858 6 593 370 683 669 491 5 337 304 8 8 6 g 2 6 4 26 12 14 4 4 4 13 14 4 195 6 97 198 104 99 3 4 10 3 29 47 41 118 199 35 6 99 100 109 69 1 8 132 114 101 102 103 104 4 721 99 530 44 468 3 14 2 2 3 2 3 4 12 1 4 105 106 79 5 41 37 48 1 9 42 107 108 109 110 136 96 113 55 3 3 61 16 7 1 103 44 38 120 1 6 5 1 % 67 4 4 2 2 3 3 2 38 27 41 111 112 113 114 115 116 117 118 119 120 121 139 84 190 229 120 243 88 50 205 | 159 50 183 210 132 207 232 89 188 19 198 111 203 460 877 1847 566 466 812 1269 339 368 1170 544 500 150 599 484 600 363 81 40 3 g 7 7 10 7 121 109 95 167 115 107 148 121 107 111 52 51 3 6 8 48 46 9 122 123 124 125 4 4 3 12 1422 5 513 596 ANN 11 126 127 128 129 130 131 132 133 134 135 136 32 47 165 143 121 50 112 115 172 118 106 69 353 659 709 433 1139 533 454 549 681 Nu A ON 3 100 100 88 64 105 131 1 2 3 2 19 33 29 56 759 522 187 3 2 30 48 63 130 137 138 139 140 103 94 94 138 909 916 5 548 4 110 214 3 3 3 106 130 38 51 32 42 49 160 223 284 362 688 5 4 161 133 219 3 105 87 90 150 691 789 400 459 741 1003 2 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 4 4 126 109 3 47 3 28 46 571 606 21 188 111 197 113 50 104 131 156 157 128 248 130 238 229 77 a Na 4 420 75 116 99 111 131 104 2 4 47 38 499 4 3 55 42 10 4 568 157 2 550 123 89 95 55 38 4 2 1044 158 159 160 161 162 654 304 38 3 2 2 4 166 81 145 164 98 129 107 163 164 165 166 167 163 239 115 86 1196 162 668 93 563 726 7 112 836 188 177 493 1476 943 1 1 119 123 147 50 138 75 131 223 145 221 138 1 4 65 4 116 3 108 3 75 3 61 2 93 2 111 4 137 57 4 117 3 299 3 105 13 3 3 4 6 1 42 31 43 38 724 616 5 1897 7 47 31 539 714 210 196 231 156 174 50 204 356 3 1 10 4 4 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 114 102 157 114 113 82 188 100 6 7 2 2 4 410 1067 332 1965 536 361 516 617 1583 746 1136 1108 686 359 702 185 144 222 167 341 97 106 188 50 165 139 191 139 114 3 7 1 4 105 12|| 115 106 72 4 4 3 3 1 3 105 66 91 99 577 543 289 477 302 5 349 683 97 183 122 50 139 232 145 2 4 4 93 141 85 10 2 2 1 258 135 99 119 8 251 175 163 389 1023 412 728 399 684 772 373 40 120 102 3 4 3 1 8 3 4 34 33 58 51 49 39 56 47 43 24 50 33 43 30 20 41 691 548 477 476 942 1137 343 549 386 1739 656 798 611 594 114 125 | 116 3 123 144 74 98 118 77 120 39 58 8 3 3 4 210 2011 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 N N N 6 109 55 104 95 122 50 170 190 177 121 217 134 111 79 193 109 50 65 58 176 77 136 116 160 95 71 153 149 98 104 211 176 178 187 144 161 139 111 178 1 2 4 4 1 29 42 750 5 732 496 509 281 115 3 1 6 4 4 ? 3 38 51 43 35 34 46 18 47 49 5 4 3 1 4 6 6 4 4 2 9 93 59 119 107 95 161 82 105 115 70 111 298 264 364 612 1786 1118 791 473 261 538 625 108 844 554 227 320 10 43 61 42 32 50 39 36 36 234 1 247 248 249 250 251 | 4 3 1 4 50 148 2 4 3 1 86 114 90 70 81 39 37 21 133 178 154 50 91 76 25 52 130 4 3 4 3 3 3 4 91 130 83 138 138 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 132 4 1 3 4 3 3 2 40 59 30 55 40 43 21 46 33 27 52 37 53 36 444 311 1044 1049 439 575 302 365 529 102 437 197 1243 244 317 550 545 645 288 758 426 5 1205 144 136 213 121 214 144 169 73 238 224 171 220 100 206 168 153 191 50 69 89 % 62 140 66 103 119 123 106 59 2 2 2 6 2 10 2 9 6 9 1 8 6 2 10 1 9 4 5 6 2 4 4 4 2 36 41 23 1 Edug Level Salary Couple 1 2 3 N N A Home Savings SC Index 289 3 1130 3 583 5 46 4 3 7 24 42 2 Cars 83 134 110 69 153 127 98 191 119 147 5 6 7 8 9 10 35 34 1049 612 650 675 347 2 7. 9 130 126 73 111 140 52 99 101 134 62 139 4 53 33 420 2 2 6 3 10 11 12 132 208 553 50 36 13 IS 91 258 221 124 1 8 4 5 NA 104 16 17 18 19 184 50 630 698 1247 2 1 4 10 471 193 265 157 177 183 54 88 119 125 87 73 114 104 112 106 103 135 96 70 150 176 183 385 815 810 572 521 166 817 4 4 3 10 3 4 3 3 28 29 30 31 32 33 34 35 4 21 21 34 39 55 26 104 103 164 127 270 66 57 50 61 165 156 88 231 125 107 146 182 1 1 1 6 500 320 325 623 335 5 1 2 4 9 2 508 4 686 61 344 107 83 71 71 116 65 68 140 88 161 102 1 105 121 477 788 91 513 590 46 4 2 47 48 49 50 51 NNN 306 894 509 867 345 372 481 172 51 176 214 80 229 50 88 272 100 64 254 140 142 250 59 122 103 8 2 2 6 3 6 4 6 9 2 4 N 980 5 77 103 110 115 102 63 103 121 100 99 119 121 89 86 83 71 113 119 75 147 78 110 8 5 ANNA 58 59 60 61 62 63 64 65 66 67 68 69 70 71 979 753 5 535 557 589 533 797 + 78 66 N N 3 3 3 3 1 3 1084 694 126 352 561 517 360 415 251 622 289 690 642 435 359 137 Dua WON AWONNNA 195 134 151 184 130 119 172 165 172 67 125 140 157 261 198 246 50 160 122 100 2 1 51 4 136 126 2 2 1255 489 119 107 6 6 5 93 2 2 4 108 6 117 106 3 2 122 99 124 138 130 238 129 148 186 57 170 199 99 69 296 157 184 112 83 103 120 778 331 651 525 59 551 1858 6 593 370 683 669 491 5 337 304 8 8 6 g 2 6 4 26 12 14 4 4 4 13 14 4 195 6 97 198 104 99 3 4 10 3 29 47 41 118 199 35 6 99 100 109 69 1 8 132 114 101 102 103 104 4 721 99 530 44 468 3 14 2 2 3 2 3 4 12 1 4 105 106 79 5 41 37 48 1 9 42 107 108 109 110 136 96 113 55 3 3 61 16 7 1 103 44 38 120 1 6 5 1 % 67 4 4 2 2 3 3 2 38 27 41 111 112 113 114 115 116 117 118 119 120 121 139 84 190 229 120 243 88 50 205 | 159 50 183 210 132 207 232 89 188 19 198 111 203 460 877 1847 566 466 812 1269 339 368 1170 544 500 150 599 484 600 363 81 40 3 g 7 7 10 7 121 109 95 167 115 107 148 121 107 111 52 51 3 6 8 48 46 9 122 123 124 125 4 4 3 12 1422 5 513 596 ANN 11 126 127 128 129 130 131 132 133 134 135 136 32 47 165 143 121 50 112 115 172 118 106 69 353 659 709 433 1139 533 454 549 681 Nu A ON 3 100 100 88 64 105 131 1 2 3 2 19 33 29 56 759 522 187 3 2 30 48 63 130 137 138 139 140 103 94 94 138 909 916 5 548 4 110 214 3 3 3 106 130 38 51 32 42 49 160 223 284 362 688 5 4 161 133 219 3 105 87 90 150 691 789 400 459 741 1003 2 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 4 4 126 109 3 47 3 28 46 571 606 21 188 111 197 113 50 104 131 156 157 128 248 130 238 229 77 a Na 4 420 75 116 99 111 131 104 2 4 47 38 499 4 3 55 42 10 4 568 157 2 550 123 89 95 55 38 4 2 1044 158 159 160 161 162 654 304 38 3 2 2 4 166 81 145 164 98 129 107 163 164 165 166 167 163 239 115 86 1196 162 668 93 563 726 7 112 836 188 177 493 1476 943 1 1 119 123 147 50 138 75 131 223 145 221 138 1 4 65 4 116 3 108 3 75 3 61 2 93 2 111 4 137 57 4 117 3 299 3 105 13 3 3 4 6 1 42 31 43 38 724 616 5 1897 7 47 31 539 714 210 196 231 156 174 50 204 356 3 1 10 4 4 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 114 102 157 114 113 82 188 100 6 7 2 2 4 410 1067 332 1965 536 361 516 617 1583 746 1136 1108 686 359 702 185 144 222 167 341 97 106 188 50 165 139 191 139 114 3 7 1 4 105 12|| 115 106 72 4 4 3 3 1 3 105 66 91 99 577 543 289 477 302 5 349 683 97 183 122 50 139 232 145 2 4 4 93 141 85 10 2 2 1 258 135 99 119 8 251 175 163 389 1023 412 728 399 684 772 373 40 120 102 3 4 3 1 8 3 4 34 33 58 51 49 39 56 47 43 24 50 33 43 30 20 41 691 548 477 476 942 1137 343 549 386 1739 656 798 611 594 114 125 | 116 3 123 144 74 98 118 77 120 39 58 8 3 3 4 210 2011 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 N N N 6 109 55 104 95 122 50 170 190 177 121 217 134 111 79 193 109 50 65 58 176 77 136 116 160 95 71 153 149 98 104 211 176 178 187 144 161 139 111 178 1 2 4 4 1 29 42 750 5 732 496 509 281 115 3 1 6 4 4 ? 3 38 51 43 35 34 46 18 47 49 5 4 3 1 4 6 6 4 4 2 9 93 59 119 107 95 161 82 105 115 70 111 298 264 364 612 1786 1118 791 473 261 538 625 108 844 554 227 320 10 43 61 42 32 50 39 36 36 234 1 247 248 249 250 251 | 4 3 1 4 50 148 2 4 3 1 86 114 90 70 81 39 37 21 133 178 154 50 91 76 25 52 130 4 3 4 3 3 3 4 91 130 83 138 138 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 132 4 1 3 4 3 3 2 40 59 30 55 40 43 21 46 33 27 52 37 53 36 444 311 1044 1049 439 575 302 365 529 102 437 197 1243 244 317 550 545 645 288 758 426 5 1205 144 136 213 121 214 144 169 73 238 224 171 220 100 206 168 153 191 50 69 89 % 62 140 66 103 119 123 106 59 2 2 2 6 2 10 2 9 6 9 1 8 6 2 10 1 9 4 5 6 2 4 4 4 2 36 41 23 1