Referring to Example 3, the nanopillar data on height (nm) and width ( \(\mathrm{nm})\) are

(a) Fit a straight line with \(y=\) height and \(x=\) width by least squares.

(b) Test, with \(\alpha=0.05\), that the slope is different from zero.

(c) Find a 95% confidence interval for the mean height when width \(=100\).

(d) Plot the residuals versus the predicted values.

Data From Example 3

Transcribed Image Text:

Width Height Width Height Width Height Width Height 62 221 77 290 102 298 93 323 68 234 80 292 95 312 92 343 69 245 83 289 90 297 98 330 80 266 73 284 98 314 101 333 68 265 79 271 86 305 97 346 79 253 100 292 93 296 102 364 83 274 93 308 91 304 91 366 70 278 92 303 90 310 87 355 74 290 101 308 95 315 110 390 73 276 87 315 97 311 106 373 74 272 96 309 87 337 118 391 75 276 99 300 89 338 80 276 94 305 100 336