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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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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
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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