Question
Using Rstudio and data from dataset shown below for a sample of birds taken last year, if the average tail and wing length are given
Using Rstudio and data from dataset shown below for a sample of birds taken last year, if the average tail and wing length are given for the past have centuries:
Years [1900-1950] : ' = [170, 240]
Years [1950-2000]: ' = [190, 280]
a) provide the S and S -1 matrices, is there a correlation between the X1 ,and X2 variables, how can you tell?
b) Which part of the century is the sample most like, if any? What tests would you conduct as a researcher based on the information above, and how do you interpret your findings?
c) Determine the length and directions of the 95% confidence region
d) Sketch the confidence interval for tail and wing length on a graph.
e) Sketch (using Powerpoint,Word or R), the two dimensional confidence ellipsoid based on the axis. You do not need to use R, although you can if you want. This is a test of your understanding of what the confidence ellipsoid looks like.
#Data was collected from birds regarding their tail and wing length.
# Col. 1: x1 = tail length # Col. 2: x2 = wing length
Col. 1 | Col.2 |
191 | 284 |
197 | 285 |
208 | 288 |
180 | 273 |
180 | 275 |
188 | 280 |
210 | 283 |
196 | 288 |
191 | 271 |
179 | 257 |
208 | 289 |
202 | 285 |
200 | 272 |
192 | 282 |
199 | 280 |
186 | 266 |
197 | 285 |
201 | 295 |
190 | 282 |
209 | 305 |
187 | 285 |
207 | 297 |
178 | 268 |
202 | 271 |
205 | 285 |
190 | 280 |
189 | 277 |
211 | 310 |
216 | 305 |
189 | 274 |
173 | 271 |
194 | 280 |
198 | 300 |
180 | 272 |
190 | 292 |
191 | 286 |
196 | 285 |
207 | 286 |
209 | 303 |
179 | 261 |
186 | 262 |
174 | 245 |
181 | 250 |
189 | 262 |
188 | 258 |
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