Calculate the predicted value and the residuals of this data. Construct 99% confidence interval for the intercept. Construct 99% confidence interval for the slope.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Table A.4 Critical Values of the t-Distribution
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
0.289
0.617
1.061
1.386
1.886
2.920
4.303
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
4
0.271
0.569
0.941
1.190
1.533
2.132
2.776
0.267
0.559
0.920
1.156
1.476
2.015
2.571
0.265
0.263
0.262
0.261
0.260
6
0.553
0.906
1.134
1.440
1.943
2.447
1.119
1.108
1.895
1.860
7
0.549
0.896
1.415
2.365
8
0.546
0.889
1.397
2.306
0.543
0.883
1.100
1.383
1.833
2.262
10
0.542
0.879
1.093
1.372
1.812
2.228
0.540
0.876
0.873
0.870
11
0.260
1.088
1.363
1.796
2.201
0.259
1.782
0.539
0.538
12
1.083
1.356
2.179
13
0.259
1.079
1.350
1.771
2.160
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
0.865
0.863
0.862
16
0.258
0.535
1.071
1.337
1.746
2.120
17
0.257
0.534
1.069
1.333
1.740
2.110
2.101
2.093
18
0.257
0.534
1.067
1.330
1.734
0.257
0.257
19
0.533
0.861
1.066
1.328
1.729
20
0.533
0.860
1.064
1.325
1.725
2.086
21
0.257
0.532
0.532
0.859
1.063
1.323
1.321
1.721
2.080
0.858
0.858
22
2.074
0.256
0.256
1.061
1.717
23
0.532
0.531
1.060
1.059
1.319
1.714
2.069
24
0.256
0.857
1.318
1.711
2.064
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
6.
0.527
0.526
60
0.254
0.848
1.045
1.296
1.671
2.000
1.289
1.282
1.658
1.645
120
0.254
0.845
1.041
1.980
0.253
0.524
0.842
1.036
1.960
Transcribed Image Text:Table A.4 Critical Values of the t-Distribution 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 0.271 0.569 0.941 1.190 1.533 2.132 2.776 0.267 0.559 0.920 1.156 1.476 2.015 2.571 0.265 0.263 0.262 0.261 0.260 6 0.553 0.906 1.134 1.440 1.943 2.447 1.119 1.108 1.895 1.860 7 0.549 0.896 1.415 2.365 8 0.546 0.889 1.397 2.306 0.543 0.883 1.100 1.383 1.833 2.262 10 0.542 0.879 1.093 1.372 1.812 2.228 0.540 0.876 0.873 0.870 11 0.260 1.088 1.363 1.796 2.201 0.259 1.782 0.539 0.538 12 1.083 1.356 2.179 13 0.259 1.079 1.350 1.771 2.160 14 0.258 0.537 0.868 1.076 1.345 1.761 2.145 15 0.258 0.536 0.866 1.074 1.341 1.753 2.131 0.865 0.863 0.862 16 0.258 0.535 1.071 1.337 1.746 2.120 17 0.257 0.534 1.069 1.333 1.740 2.110 2.101 2.093 18 0.257 0.534 1.067 1.330 1.734 0.257 0.257 19 0.533 0.861 1.066 1.328 1.729 20 0.533 0.860 1.064 1.325 1.725 2.086 21 0.257 0.532 0.532 0.859 1.063 1.323 1.321 1.721 2.080 0.858 0.858 22 2.074 0.256 0.256 1.061 1.717 23 0.532 0.531 1.060 1.059 1.319 1.714 2.069 24 0.256 0.857 1.318 1.711 2.064 25 0.256 0.531 0.856 1.058 1.316 1.708 2.060 26 0.256 0.531 0.856 1.058 1.315 1.706 2.056 27 0.256 0.531 0.855 1.057 1.314 1.703 2.052 28 0.256 0.530 0.855 1.056 1.313 1.701 2.048 29 0.256 0.530 0.854 1.055 1.311 1.699 2.045 30 0.256 0.530 0.854 1.055 1.310 1.697 2.042 40 0.255 0.529 0.851 1.050 1.303 1.684 2.021 6. 0.527 0.526 60 0.254 0.848 1.045 1.296 1.671 2.000 1.289 1.282 1.658 1.645 120 0.254 0.845 1.041 1.980 0.253 0.524 0.842 1.036 1.960
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)
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.
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) 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. g)
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