DATA SET Draw a scattar digram between Age(Independent variable) and Eperience, Is their any relationship exits between two variables? obs Wage Rate Education Experince Age 1 11.55 12 20 38 2 5.00 9 9 24 3 12.00 16 15 37 4 7.00 14 38 58 5 21.15 16 19 41 6 6.92 12 4 22 7 10.00 12 14 32 8 8.00 12 32 50 9 15.63 18 7 31 10 18.22 18 5 29 11 20.00 20 31 57 12 4.35 12 7 25 13 5.00 5 31 42 14 8.25 12 14 32 15 15.00 12 15 33 16 19.00 14 26 46 17 18.00 14 23 43 18 7.07 16 4 26 19 8.00 14 16 36 20 25.00 14 27 47 21 17.30 12 44 62 22 16.00 12 38 56 23 5.00 12 19 37 24 8.25 12 13 31 25 8.00 12 14 32 26 13.69 12 20 38 27 19.90 12 26 44 28 22.00 12 17 35 29 6.50 12 1 19 30 12.00 12 19 37 31 13.39 12 34 52 32 36.85 20 21 47 33 27.47 16 25 47 34 6.00 12 2 20 35 21.54 18 19 43 36 12.43 12 7 25 37 19.70 12 33 51 38 7.50 12 11 29 39 25.95 18 12 36 40 25.95 16 13 35 41 11.53 18 29 53 42 5.50 12 2 20 43 9.62 12 10 28 44 5.25 12 3 21 45 11.50 12 9 27 46 17.00 16 30 52 47 11.00 12 30 48 48 13.00 12 29 47 49 7.32 12 2 20 50 5.50 12 6 24
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In this case, we are interested in the relationship between Age (independent variable) and Experience. From the given dataset, extract the Age and Experience values for all observations. Show more…
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Patha S.
Qn 1.46. Refer to the SENIC data set in Appendix C.1. (a) For each geographic region, regress average length of stay in hospital (Y ) against infection risk (X). Assume that first-order regression model (1.1) is appropriate for each region. State the estimated regression functions. (b) Are the estimated regression functions similar for the four regions? Discuss. We can calculate confidence intervals of β 0 and β 1 (c) Calculate MSE for each region. Is the variability around the fitted regression line approximately the same for the four regions? Discuss. We could plot all data together, showing points by the color of each region. Use R programming. The data set is 1 7.13 55.7 4.1 9.0 39.6 279 2 4 207 241 60.0 2 8.82 58.2 1.6 3.8 51.7 80 2 2 51 52 40.0 3 8.34 56.9 2.7 8.1 74.0 107 2 3 82 54 20.0 4 8.95 53.7 5.6 18.9 122.8 147 2 4 53 148 40.0 5 11.20 56.5 5.7 34.5 88.9 180 2 1 134 151 40.0 6 9.76 50.9 5.1 21.9 97.0 150 2 2 147 106 40.0 7 9.68 57.8 4.6 16.7 79.0 186 2 3 151 129 40.0 8 11.18 45.7 5.4 60.5 85.8 640 1 2 399 360 60.0 9 8.67 48.2 4.3 24.4 90.8 182 2 3 130 118 40.0 10 8.84 56.3 6.3 29.6 82.6 85 2 1 59 66 40.0 11 11.07 53.2 4.9 28.5 122.0 768 1 1 591 656 80.0 12 8.30 57.2 4.3 6.8 83.8 167 2 3 105 59 40.0 13 12.78 56.8 7.7 46.0 116.9 322 1 1 252 349 57.1 14 7.58 56.7 3.7 20.8 88.0 97 2 2 59 79 37.1 15 9.00 56.3 4.2 14.6 76.4 72 2 3 61 38 17.1 16 11.08 50.2 5.5 18.6 63.6 387 2 3 326 405 57.1 17 8.28 48.1 4.5 26.0 101.8 108 2 4 84 73 37.1 18 11.62 53.9 6.4 25.5 99.2 133 2 1 113 101 37.1 19 9.06 52.8 4.2 6.9 75.9 134 2 2 103 125 37.1 20 9.35 53.8 4.1 15.9 80.9 833 2 3 547 519 77.1 21 7.53 42.0 4.2 23.1 98.9 95 2 4 47 49 17.1 22 10.24 49.0 4.8 36.3 112.6 195 2 2 163 170 37.1 23 9.78 52.3 5.0 17.6 95.9 270 1 1 240 198 57.1 24 9.84 62.2 4.8 12.0 82.3 600 2 3 468 497 57.1 25 9.20 52.2 4.0 17.5 71.1 298 1 4 244 236 57.1 26 8.28 49.5 3.9 12.0 113.1 546 1 2 413 436 57.1 27 9.31 47.2 4.5 30.2 101.3 170 2 1 124 173 37.1 28 8.19 52.1 3.2 10.8 59.2 176 2 1 156 88 37.1 29 11.65 54.5 4.4 18.6 96.1 248 2 1 217 189 37.1 30 9.89 50.5 4.9 17.7 103.6 167 2 2 113 106 37.1 31 11.03 49.9 5.0 19.7 102.1 318 2 1 270 335 57.1 32 9.84 53.0 5.2 17.7 72.6 210 2 2 200 239 54.3 33 11.77 54.1 5.3 17.3 56.0 196 2 1 164 165 34.3 34 13.59 54.0 6.1 24.2 111.7 312 2 1 258 169 54.3 35 9.74 54.4 6.3 11.4 76.1 221 2 2 170 172 54.3 36 10.33 55.8 5.0 21.2 104.3 266 2 1 181 149 54.3 37 9.97 58.2 2.8 16.5 76.5 90 2 2 69 42 34.3 38 7.84 49.1 4.6 7.1 87.9 60 2 3 50 45 34.3 39 10.47 53.2 4.1 5.7 69.1 196 2 2 168 153 54.3 40 8.16 60.9 1.3 1.9 58.0 73 2 3 49 21 14.3 41 8.48 51.1 3.7 12.1 92.8 166 2 3 145 118 34.3 42 10.72 53.8 4.7 23.2 94.1 113 2 3 90 107 34.3 43 11.20 45.0 3.0 7.0 78.9 130 2 3 95 56 34.3 44 10.12 51.7 5.6 14.9 79.1 362 1 3 313 264 54.3 45 8.37 50.7 5.5 15.1 84.8 115 2 2 96 88 34.3 46 10.16 54.2 4.6 8.4 51.5 831 1 4 581 629 74.3 47 19.56 59.9 6.5 17.2 113.7 306 2 1 273 172 51.4 48 10.90 57.2 5.5 10.6 71.9 593 2 2 446 211 51.4 49 7.67 51.7 1.8 2.5 40.4 106 2 3 93 35 11.4 50 8.88 51.5 4.2 10.1 86.9 305 2 3 238 197 51.4 51 11.48 57.6 5.6 20.3 82.0 252 2 1 207 251 51.4 52 9.23 51.6 4.3 11.6 42.6 620 2 2 413 420 71.4 53 11.41 61.1 7.6 16.6 97.9 535 2 3 330 273 51.4 54 12.07 43.7 7.8 52.4 105.3 157 2 2 115 76 31.4 55 8.63 54.0 3.1 8.4 56.2 76 2 1 39 44 31.4 56 11.15 56.5 3.9 7.7 73.9 281 2 1 217 199 51.4 57 7.14 59.0 3.7 2.6 75.8 70 2 4 37 35 31.4 58 7.65 47.1 4.3 16.4 65.7 318 2 4 265 314 51.4 59 10.73 50.6 3.9 19.3 101.0 445 1 2 374 345 51.4 60 11.46 56.9 4.5 15.6 97.7 191 2 3 153 132 31.4 61 10.42 58.0 3.4 8.0 59.0 119 2 1 67 64 31.4 62 11.18 51.0 5.7 18.8 55.9 595 1 2 546 392 68.6 63 7.93 64.1 5.4 7.5 98.1 68 2 4 42 49 28.6 64 9.66 52.1 4.4 9.9 98.3 83 2 2 66 95 28.6 65 7.78 45.5 5.0 20.9 71.6 489 2 3 391 329 48.6 66 9.42 50.6 4.3 24.8 62.8 508 2 1 421 528 48.6 67 10.02 49.5 4.4 8.3 93.0 265 2 2 191 202 48.6 68 8.58 55.0 3.7 7.4 95.9 304 2 3 248 218 48.6 69 9.61 52.4 4.5 6.9 87.2 487 2 3 404 220 48.6 70 8.03 54.2 3.5 24.3 87.3 97 2 1 65 55 28.6 71 7.39 51.0 4.2 14.6 88.4 72 2 2 38 67 28.6 72 7.08 52.0 2.0 12.3 56.4 87 2 3 52 57 28.6 73 9.53 51.5 5.2 15.0 65.7 298 2 3 241 193 48.6 74 10.05 52.0 4.5 36.7 87.5 184 1 1 144 151 68.6 75 8.45 38.8 3.4 12.9 85.0 235 2 2 143 124 48.6 76 6.70 48.6 4.5 13.0 80.8 76 2 4 51 79 28.6 77 8.90 49.7 2.9 12.7 86.9 52 2 1 37 35 28.6 78 10.23 53.2 4.9 9.9 77.9 752 1 2 595 446 68.6 79 8.88 55.8 4.4 14.1 76.8 237 2 2 165 182 48.6 80 10.30 59.6 5.1 27.8 88.9 175 2 2 113 73 45.7 81 10.79 44.2 2.9 2.6 56.6 461 1 2 320 196 65.7 82 7.94 49.5 3.5 6.2 92.3 195 2 2 139 116 45.7 83 7.63 52.1 5.5 11.6 61.1 197 2 4 109 110 45.7 84 8.77 54.5 4.7 5.2 47.0 143 2 4 85 87 25.7 85 8.09 56.9 1.7 7.6 56.9 92 2 3 61 61 45.7 86 9.05 51.2 4.1 20.5 79.8 195 2 3 127 112 45.7 87 7.91 52.8 2.9 11.9 79.5 477 2 3 349 188 65.7 88 10.39 54.6 4.3 14.0 88.3 353 2 2 223 200 65.7 89 9.36 54.1 4.8 18.3 90.6 165 2 1 127 158 45.7 90 11.41 50.4 5.8 23.8 73.0 424 1 3 359 335 45.7 91 8.86 51.3 2.9 9.5 87.5 100 2 3 65 53 25.7 92 8.93 56.0 2.0 6.2 72.5 95 2 3 59 56 25.7 93 8.92 53.9 1.3 2.2 79.5 56 2 2 40 14 5.7 94 8.15 54.9 5.3 12.3 79.8 99 2 4 55 71 25.7 95 9.77 50.2 5.3 15.7 89.7 154 2 2 123 148 25.7 96 8.54 56.1 2.5 27.0 82.5 98 2 1 57 75 45.7 97 8.66 52.8 3.8 6.8 69.5 246 2 3 178 177 45.7 98 12.01 52.8 4.8 10.8 96.9 298 2 1 237 115 45.7 99 7.95 51.8 2.3 4.6 54.9 163 2 3 128 93 42.9 100 10.15 51.9 6.2 16.4 59.2 568 1 3 452 371 62.9 101 9.76 53.2 2.6 6.9 80.1 64 2 4 47 55 22.9 102 9.89 45.2 4.3 11.8 108.7 190 2 1 141 112 42.9 103 7.14 57.6 2.7 13.1 92.6 92 2 4 40 50 22.9 104 13.95 65.9 6.6 15.6 133.5 356 2 1 308 182 62.9 105 9.44 52.5 4.5 10.9 58.5 297 2 3 230 263 42.9 106 10.80 63.9 2.9 1.6 57.4 130 2 3 69 62 22.9 107 7.14 51.7 1.4 4.1 45.7 115 2 3 90 19 22.9 108 8.02 55.0 2.1 3.8 46.5 91 2 2 44 32 22.9 109 11.80 53.8 5.7 9.1 116.9 571 1 2 441 469 62.9 110 9.50 49.3 5.8 42.0 70.9 98 2 3 68 46 22.9 111 7.70 56.9 4.4 12.2 67.9 129 2 4 85 136 62.9 112 17.94 56.2 5.9 26.4 91.8 835 1 1 791 407 62.9 113 9.41 59.5 3.1 20.6 91.7 29 2 3 20 22 22.9
Sri K.
Draw a scatter diagram for each given data set. Use graph paper. From your graph determine whether there is a linear relationship between the variables. $$\begin{array}{|c|c|}\hline & \text { Income } \\text { Age } & \text { (thousands } \\\text { (yr) } & \text { of } \$ \text { ) } \\\hline 33 & 24 \\30 & 23 \\32 & 26 \\30 & 22 \\38 & 36 \\35 & 34 \\32 & 30 \\40 & 44 \\39 & 42 \\\hline\end{array}$$
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