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1. A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands. Quantity produced (x000) 1 2 4 5 7 Manufacturing 5 5.9 6.5 7.5 8 Cost (x000) d) Calculate the predicted value and the residuals of this data. Construct 99% confidence interval for the intercept. Construct 99% confidence interval for the slope. e) f)

1. A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands. Quantity produced (x000) 1 2 4 5 7 Manufacturing 5 5.9 6.5 7.5 8 Cost (x000) d) Calculate the predicted value and the residuals of this data. Construct 99% confidence interval for the intercept. Construct 99% confidence interval for the slope. e) f)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands. Quantity produced (x000) 1 2 4 5 7 Manufacturing Cost (x000) 5.9 6.5 7.5 8 d) e) Calculate the predicted value and the residuals of this data. Construct 99% confidence interval for the intercept. Construct 99% confidence interval for the slope. Test for significance of regression by ANOVA and interpret your conclusion. f) g)
Transcribed Image Text:1. A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands. Quantity produced (x000) 1 2 4 5 7 Manufacturing Cost (x000) 5.9 6.5 7.5 8 d) e) Calculate the predicted value and the residuals of this data. Construct 99% confidence interval for the intercept. Construct 99% confidence interval for the slope. Test for significance of regression by ANOVA and interpret your conclusion. f) g)
Table A.3 (continued) Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Table A.4 Critical Values of the t-Distribution 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5517 0.5319 0.5359 0.1 0.1 0.5398 0.5438 0.5478 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.40 0.30 0.20 0.15 0.10 0.05 0.025 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 3.078 1.886 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 1 0.325 0.727 1.376 1.963 6.314 12.706 1.386 1.250 1.190 1.156 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 2 0.289 0.617 1.061 2.920 4.303 0.277 0.584 0.978 0.941 3.182 2.776 3 1.638 2.353 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7190 0.7224 0.7517 0.5 0.6915 4 0.271 0.569 1.533 2.132 0.6 0.7257 0.7291 0.7580 0.7549 0.267 0,559 0.920 1.476 2.015 2.571 0.7 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0,906 0.896 1.134 1.119 1.108 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 6. 0.265 0.553 1.440 1.943 2.447 0.263 0.262 0.549 0.546 2.365 2.306 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.415 1.895 0.889 0.883 8 1.397 1.860 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.261 0.543 1.100 1.383 1.833 2.262 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.1 0.8643 0.8665 0.8810 0.8830 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 0.540 0.539 11 0.260 1.088 1.363 0.876 0.873 1.796 2.201 2.179 2.160 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 12 0.259 1.083 1.356 1.782 1.350 1.345 1.341 13 0.259 0.538 0,870 1.079 1.771 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.076 1.074 14 0.258 0.537 0.868 1.761 2.145 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9664 0.9671 0.9678 0.9535 0.9545 15 0.258 0.536 0.866 1.753 2.131 0.9625 0.9699 0.9756 0.9761 1.7 0.9554 0.9616 0.9633 0.258 0.257 1.337 1.333 1.330 1.328 1.325 1.8 0.9641 0.9649 0.9656 0.9686 0.9693 0.9706 16 0.535 0.865 1.071 1.746 2.120 1.069 1.067 2.110 2.101 2.093 2.086 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9767 17 0.534 0.863 1.740 18 0.257 0.534 0.862 1.734 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 19 0.257 0.533 0.861 1.066 1.729 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 20 0.257 0.533 0.860 1.064 1.725 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9901 2.2 0.9861 0.9884 0.9887 0.9890 1.323 1.321 1.319 21 0.257 0.532 0.859 1.063 1.721 2.080 2.3 2.4 0.9918 0.9920 0.9893 0.9896 0.9898 0.9913 0.9916 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9904 0.9906 0.9909 0.9911 0.532 0.532 0.531 1.061 1.060 22 0.858 2.074 2.069 2.064 2.060 0.9922 0.256 1.717 23 0.256 0.858 1.714 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 24 0.256 0.857 1.059 1.318 1.711 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 25 0.256 0.531 0.856 1.058 1.316 1.708 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 0.9981 2.7 1.706 1.703 1.701 1.699 26 0.256 0.531 0,856 1.058 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.8 0.855 0.855 0.854 0.854 2.9 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 27 0.256 0.531 1.057 1.056 1.055 28 0.256 0.530 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 29 0.256 0.530 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 30 0.256 0.530 1.055 1.697 2.042 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 1.303 1.296 1.289 40 0.255 0.529 0.851 1.050 1.684 2.021 0.9996 0.9997 0.9998 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 6 0.254 0.254 60 0.527 0.848 2.000 1.980 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 1.045 1.671 120 0.526 0.845 1.041 1.658 8, 0.253 0,524 0.842 1.036 1.282 1.645 1.960
Transcribed Image Text:Table A.3 (continued) Areas under the Normal Curve .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 Table A.4 Critical Values of the t-Distribution 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5517 0.5319 0.5359 0.1 0.1 0.5398 0.5438 0.5478 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.40 0.30 0.20 0.15 0.10 0.05 0.025 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 3.078 1.886 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 1 0.325 0.727 1.376 1.963 6.314 12.706 1.386 1.250 1.190 1.156 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 2 0.289 0.617 1.061 2.920 4.303 0.277 0.584 0.978 0.941 3.182 2.776 3 1.638 2.353 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7190 0.7224 0.7517 0.5 0.6915 4 0.271 0.569 1.533 2.132 0.6 0.7257 0.7291 0.7580 0.7549 0.267 0,559 0.920 1.476 2.015 2.571 0.7 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0,906 0.896 1.134 1.119 1.108 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 6. 0.265 0.553 1.440 1.943 2.447 0.263 0.262 0.549 0.546 2.365 2.306 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.415 1.895 0.889 0.883 8 1.397 1.860 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.261 0.543 1.100 1.383 1.833 2.262 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.1 0.8643 0.8665 0.8810 0.8830 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 0.540 0.539 11 0.260 1.088 1.363 0.876 0.873 1.796 2.201 2.179 2.160 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 12 0.259 1.083 1.356 1.782 1.350 1.345 1.341 13 0.259 0.538 0,870 1.079 1.771 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 1.076 1.074 14 0.258 0.537 0.868 1.761 2.145 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9664 0.9671 0.9678 0.9535 0.9545 15 0.258 0.536 0.866 1.753 2.131 0.9625 0.9699 0.9756 0.9761 1.7 0.9554 0.9616 0.9633 0.258 0.257 1.337 1.333 1.330 1.328 1.325 1.8 0.9641 0.9649 0.9656 0.9686 0.9693 0.9706 16 0.535 0.865 1.071 1.746 2.120 1.069 1.067 2.110 2.101 2.093 2.086 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9767 17 0.534 0.863 1.740 18 0.257 0.534 0.862 1.734 2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.9812 0.9817 19 0.257 0.533 0.861 1.066 1.729 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 20 0.257 0.533 0.860 1.064 1.725 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9901 2.2 0.9861 0.9884 0.9887 0.9890 1.323 1.321 1.319 21 0.257 0.532 0.859 1.063 1.721 2.080 2.3 2.4 0.9918 0.9920 0.9893 0.9896 0.9898 0.9913 0.9916 0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9904 0.9906 0.9909 0.9911 0.532 0.532 0.531 1.061 1.060 22 0.858 2.074 2.069 2.064 2.060 0.9922 0.256 1.717 23 0.256 0.858 1.714 2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 24 0.256 0.857 1.059 1.318 1.711 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 25 0.256 0.531 0.856 1.058 1.316 1.708 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 0.9981 2.7 1.706 1.703 1.701 1.699 26 0.256 0.531 0,856 1.058 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.8 0.855 0.855 0.854 0.854 2.9 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 27 0.256 0.531 1.057 1.056 1.055 28 0.256 0.530 3.0 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 29 0.256 0.530 3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 30 0.256 0.530 1.055 1.697 2.042 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 1.303 1.296 1.289 40 0.255 0.529 0.851 1.050 1.684 2.021 0.9996 0.9997 0.9998 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 6 0.254 0.254 60 0.527 0.848 2.000 1.980 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 1.045 1.671 120 0.526 0.845 1.041 1.658 8, 0.253 0,524 0.842 1.036 1.282 1.645 1.960
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