For this question you must give all answersrounded correct to exactly 3 significant figures(instead of decimal places). Recall that leading zeros are notsignificant (for example 0.0011 has 4 decimal places, but only 2significant figures). To obtain more decimal places in the numbersMatlab gives you, type "format short g" first.
The article "The Incorporation of Uranium and Silver byHydrothermally Synthesized Galena'" (Econ. Geology, 1964:1003-1024) reports on the determination of silver content of galenacrystals grown in a closed hydrothermal system over a range oftemperature. The temperature X in degrees C and the silver contentY in mol% for 60 determinations are shown below.
x=[391.52 588.45 366.17 540.96 596.58 514.95 475.69 474.88 351.61436.63 456.86 488.38 374.74 443.82 351.54 565.11 590.69 522.42381.72 518.06 352.58 536.14 517.94 489.33 421.54 441.43 519.61481.52 395.17 575.51 499.37 498.19 389.48 458.26 475.10 447.75494.49 501.62 543.59 371.33 533.00 469.43 408.83 381.22 404.12351.36 539.92 355.98 428.00 365.14 568.20 577.03 551.79 421.29486.85 380.51 572.39 526.76 444.83 510.46]
y=[0.24746 0.55195 0.12887 0.55539 0.66253 0.51603 0.26968 0.395880.17175 0.18485 0.47286 0.13409 0.45080 0.14408 0.17320 0.450230.59793 0.61566 0.47474 0.29009 0.17034 0.53198 0.60392 0.390730.06488 0.36118 0.45917 0.23497 0.32195 0.50951 0.51063 0.519790.53781 0.36905 0.53801 0.38265 0.27017 0.28500 0.52003 0.115000.38495 0.27878 0.44189 0.04065 0.18611 0.26634 0.44847 0.210190.19065 0.01236 0.62531 0.49826 0.29920 0.23947 0.31029 0.293530.38524 0.63588 0.25503 0.44352]
(a) Fit the linear regression of Y on X using Matlab. What isthe estimated intercept term ?^0?
(b) What is the estimated slope of the fitted line, ?^1?
(c) What is the estimated residual variance s2e?
(d) What is the standard error for ?^1?
(e) Give a 95% confidence interval for ?^1.
Enter your confidence interval in the form (lower bound, upperbound).
( , )
(f) What is the predicted silver content of galena crystalsgrown at 500 degrees C?
(g) Construct a 95% prediction interval for silver content whencrystals are grown at 500 degrees C.
Enter your prediction interval in the form (lower bound, upperbound).
( , )
