Question

x=[522.47 401.13 467.72 445.60 417.20 364.51 363.88 589.06 584.12 363.19 394.97 537.67 456.16 411.58 408.26 586.76 580.47 397.17 557.13 378.49 395.68 507.15 432.57 455.29 494.41 359.69 460.88 547.79 542.73 406.64 563.68 371.06 404.50 387.63 521.95 472.90 492.14 484.68 394.96 521.60 373.94 388.16 539.30 571.06 475.23 533.42 368.26 573.72 416.78 362.30 498.82 544.98 594.79 560.46 566.11 560.65 353.45 511.60 405.84 419.82]

y=[0.37345 0.31015 0.51910 0.24506 0.20700 0.14325 0.18871 0.29920 0.54105 0.22042 0.26545 0.42971 0.34300 0.23166 0.31433 0.55698 0.57096 0.28747 0.51894 0.03466 0.31124 0.32365 0.36918 0.17102 0.40372 0.20166 0.46759 0.41678 0.45385 0.12202 0.57091 0.23373 0.34367 0.28945 0.43148 0.45080 0.39957 0.47925 0.04305 0.22066 0.17233 0.24924 0.34760 0.45400 0.39537 0.38523 0.02289 0.32767 0.25305 0.36691 0.37117 0.47331 0.53657 0.42324 0.59182 0.48812 0.33296 0.50682 0.44138 0.32726]

For this question you must give all answers rounded correct to exactly 3 significant figures (instead of decimal places). Recall that leading zeros are not significant (for example 0.0011 has 4 decimal places but only 2 significant figures). To obtain more decimal places in the numbers Matlab gives you, type format short g" first The article The Incorporation of Uranium and Silver by Hydrothermally Synthesized Galena" (Econ. Geology, 1964: 1003-1024) reports on the determination of silver content of galena crystals grown in a closed hydrothermal system over a range of temperature. The temperature X in degrees C and the silver content Y in mol% for 60 determinations are shown below. x [522.47 401.13 467.72 44560 417.20 364.51 363.88 589.06 584.12 363.19 394.97 537.67 456.16 11.58 408.26 586.76 580.47 397.17 557.13 378.49 395 68 507.15 432.57 455.29 494.41 359.69 460.88 547.79 542.73 406.64 563.68 371.06 404.50 387.63 521.95 472.90 492.14 484.68 394.96 521.60 373.94 388.16 539.30 571.06 475.23 533.42 368.26 573.72 416.78 362.30 498.82 544.98 594.79 560.46 566.11 560.65 353.45 511.60 405.84 419.82 y-10.37345 0.31015 0.51910 0.24506 0.20700 0.14325 0.18871 029920 0.54105 0.22042 0.26545 0.42971 0.34300 0.23166 0.31433 0.55698 0.57096 0.28747 0.51894 0.03466 0.31124 0.32365 0.36918 0.17102 0.40372 0.20166 0.46759 0.41678 0.45385 0.12202 0.57091 0.23373 0.34367 0.28945 0.43148 0.45080 0.39957 0.47925 0.04305 0.22066 0.17233 0.24924 0.34760 0.45400 0.39537 0.38523 0.02289 0.32767 0.25305 0.36691 0.37117 0.47331 0.53657 0.42324 0.59182 0.48812 0.33296 0.50682 0.44138 0.32726 (a) Fit the linear regression of Y on X using Matlab. What is the estimated intercept term po? 数字 (b) What is the estimated slope of the fitted line, 1 数字 (c) What is the estimated residual variance ? 数字 (d) What is the standard error for 1 数字 (e) Give a 95% confidence interval form Enter your confidence interval in the form (lower bound, upper bound). (|数字 () What is the predicted silver content of galena crystals grown at 500 degrees C? 数字 (g) Construct a 95% prediction interval for silver content when crystals are grown at 500 degrees C. Enter your prediction interval in the form (lower bound, upper bound). (|数字 数字

Answer 1

Part a) The estimated intercept is -0.260983

Part b) The estimated slope is 0.001298

Part c) The estimated residual variance is 0.00921792

Part d) The standard error is 0.0001612

NOTE: I have only answered the first 4 questions as part of HOMEWORKLIB POLICY. Please mention specifically in a separate question if you want answers to rest of the subparts.