Question
Dean Parmalee wished to know if the year-end grades assigned to Wright State University Medical School students are predictive of their second-year medical board scores.
Dean Parmalee wished to know if the year-end grades assigned to Wright State University Medical School students are predictive of their second-year medical board scores. The following table shows, for 89 students, the year-end score (AVG, in percent of 100) and the score on the second year medical board (BOARD) examination (data: medscores.mtw).
AVG | BOARD | AVG | BOARD | AVG | BOARD |
95.73 | 257 | 85.91 | 208 | 82.01 | 196 |
94.03 | 256 | 85.81 | 210 | 81.86 | 179 |
91.51 | 242 | 85.35 | 212 | 81.7 | 207 |
91.49 | 223 | 85.3 | 225 | 81.65 | 202 |
91.13 | 241 | 85.27 | 203 | 81.51 | 230 |
90.88 | 234 | 85.05 | 214 | 81.07 | 200 |
90.83 | 226 | 84.58 | 176 | 80.95 | 200 |
90.6 | 236 | 84.51 | 196 | 80.92 | 160 |
90.3 | 250 | 84.51 | 207 | 80.84 | 205 |
90.29 | 226 | 84.42 | 207 | 80.77 | 194 |
89.93 | 233 | 84.34 | 211 | 80.72 | 196 |
89.83 | 241 | 84.34 | 202 | 80.69 | 171 |
89.65 | 234 | 84.13 | 229 | 80.58 | 201 |
89.47 | 231 | 84.13 | 202 | 80.57 | 177 |
88.87 | 228 | 84.09 | 184 | 80.1 | 192 |
88.8 | 229 | 83.98 | 206 | 79.38 | 187 |
88.66 | 235 | 83.93 | 202 | 78.75 | 161 |
88.55 | 216 | 83.92 | 176 | 78.32 | 172 |
88.43 | 207 | 83.73 | 204 | 78.17 | 163 |
88.34 | 224 | 83.47 | 208 | 77.39 | 166 |
87.95 | 237 | 83.27 | 211 | 76.3 | 170 |
87.79 | 213 | 83.13 | 196 | 75.85 | 159 |
87.01 | 215 | 83.05 | 203 | 75.6 | 154 |
86.86 | 187 | 83.02 | 188 | 75.16 | 169 |
86.85 | 204 | 82.82 | 169 | 74.85 | 159 |
86.84 | 219 | 82.78 | 205 | 74.66 | 167 |
86.3 | 228 | 82.57 | 183 | 74.58 | 154 |
86.13 | 210 | 82.56 | 181 | 74.16 | 148 |
86.1 | 216 | 82.45 | 173 | 70.34 | 159 |
85.92 | 212 | 82.24 | 185 |
Please use minitab
- Explain why this model is not appropriate for someone with AVG value of 60.0.
- Use the regression model to give 95% mean and individual prediction intervals for AVG score of 95.73 and 94.03. Make a graph showing the 95% confidence bands for the mean and the 95% prediction intervals.
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