Consider the set of ordered pairs shown below. Assuming that the regression equation is y=2.063 +0.531x and the SSE=4.813, construct a 90% prediction interval for x = 5. X y 6 5 0 2 2 3 Click the icon to view a portion of the Student's t-distribution table. UPL = LPL = 4 6 4 4 4 3 D *** Calculate the upper and lower limits of the prediction interval.

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Probabilities under the Student's t-distribution curve
1 Tail
2 Tail
Conf Lev
d.f.
1
2
9
10
12
13
15
9
10
11
12
13
15
0,200 0.100 0.050
0.200 0.100
0.400
0.600
0.800 0.900
16
17
18
19
20
21
22
23
24
25
26
1.376 3.078 6.314
1.061
1.886
2.920
0,978
1.638
2.353
0.941
1.533
2.132
0.920
1.476
2.015
0.906
1,440
1.943
0,896
1.415
1.895
0.889
1.397 1.860
0.883
1.383 1.833
0.879
1.372
1.812
0.876
1.363
1.796
0.873
1.356 1.782
0.870 1.350 1.771
0.866 1.341
1.753
0.025
0.010
0.050
0.020
0.950 0.980
0.889 1.397
1.860
0.883 1.383
0.879 1.372
1.833
1.812
0.876 1.363 1.796
0.873
1.356 1.782
0.870
1.350
1.771
0.866
1.341
1.753
0.865
1.337 1.746
0.863
1.333 1.740
0.862
1.330 1.734
0.861
1.328
1.729
0.860 1.325
1.725
0.859 1.323
1.721
0.858
1.321
1.717
0.858
1.319
1.714
0.857 1.318 1.711
0.856
1.316
1.708
0.856
1.315
1.706
12.706
31.821
4.303 6.965
3.182 4.541
2.776 3.747
2.571 3.365
2.447 3.143
2.365
2.998
2.306
2.896
2.262
2.821
2.228 2.764
2.201
2.718
2.179 2.681
2.160 2.650
2.131 2.602
Probabilities under the Student's t-distribution curve
2.306 2.896
2.262 2.821
2.228
2.764
2.201 2.718
2.179 2.681
2.160 2.650
2.131 2.602
2.120 2.583
2.110 2.567
2.101 2.552
2.093 2.539
2.086
2.528
2.080 2.518
2.508
2.500
2.492
2.485
2.479
2.074
2.069
2.064
2.060
2.056
0.005
0.010
0.990
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.947
3.355
3.250
3.169
3.106
3.055
3.012
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
Transcribed Image Text:Probabilities under the Student's t-distribution curve 1 Tail 2 Tail Conf Lev d.f. 1 2 9 10 12 13 15 9 10 11 12 13 15 0,200 0.100 0.050 0.200 0.100 0.400 0.600 0.800 0.900 16 17 18 19 20 21 22 23 24 25 26 1.376 3.078 6.314 1.061 1.886 2.920 0,978 1.638 2.353 0.941 1.533 2.132 0.920 1.476 2.015 0.906 1,440 1.943 0,896 1.415 1.895 0.889 1.397 1.860 0.883 1.383 1.833 0.879 1.372 1.812 0.876 1.363 1.796 0.873 1.356 1.782 0.870 1.350 1.771 0.866 1.341 1.753 0.025 0.010 0.050 0.020 0.950 0.980 0.889 1.397 1.860 0.883 1.383 0.879 1.372 1.833 1.812 0.876 1.363 1.796 0.873 1.356 1.782 0.870 1.350 1.771 0.866 1.341 1.753 0.865 1.337 1.746 0.863 1.333 1.740 0.862 1.330 1.734 0.861 1.328 1.729 0.860 1.325 1.725 0.859 1.323 1.721 0.858 1.321 1.717 0.858 1.319 1.714 0.857 1.318 1.711 0.856 1.316 1.708 0.856 1.315 1.706 12.706 31.821 4.303 6.965 3.182 4.541 2.776 3.747 2.571 3.365 2.447 3.143 2.365 2.998 2.306 2.896 2.262 2.821 2.228 2.764 2.201 2.718 2.179 2.681 2.160 2.650 2.131 2.602 Probabilities under the Student's t-distribution curve 2.306 2.896 2.262 2.821 2.228 2.764 2.201 2.718 2.179 2.681 2.160 2.650 2.131 2.602 2.120 2.583 2.110 2.567 2.101 2.552 2.093 2.539 2.086 2.528 2.080 2.518 2.508 2.500 2.492 2.485 2.479 2.074 2.069 2.064 2.060 2.056 0.005 0.010 0.990 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.947 3.355 3.250 3.169 3.106 3.055 3.012 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779
Consider the set of ordered pairs shown below. Assuming that the regression equation is y=2.063 +0.531x and the
SSE=4.813, construct a 90% prediction interval for x = 5.
X
y
6
5
0
2
4
6
4
4
4
3
2 D
3
Click the icon to view a portion of the Student's t-distribution table.
GOL
Calculate the upper and lower limits of the prediction interval.
UPL =
LPL =
(Round to three decimal places as needed.)
M
Transcribed Image Text:Consider the set of ordered pairs shown below. Assuming that the regression equation is y=2.063 +0.531x and the SSE=4.813, construct a 90% prediction interval for x = 5. X y 6 5 0 2 4 6 4 4 4 3 2 D 3 Click the icon to view a portion of the Student's t-distribution table. GOL Calculate the upper and lower limits of the prediction interval. UPL = LPL = (Round to three decimal places as needed.) M
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