Data for two variables, x and y, follow. X, 1 2 3 4 5 (a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.) 9- (b) Plot the standardized residuals versus. 1 7 T 2 02 4 6 3 (c) Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.) Studentized XViDeleted Residual 4 5 Do there appear to be any outliers in these data? Explain. The value of the standardized residual for no observations ✔✔✔ is either greater than +2 or less than-2. Therefore, there are no outliers ✔✔ 11 T 9 12 14 1 10 12 14 16 18 20 y 15 . 18 0 2 4 6 8 10 12 14 16 18 20 y Qo 02468 10 12 14 16 10 12 14 16 18 20 9 At the 0.05 level of significance, can any of these observations be classified as an outller? Explain. (Select all that apply.) t Observation x,- 1 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -25) Observation x; -2 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -0.025). Observation x-3 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025). Observation x,-4 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025) Observation x,- 5 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025). None of the observations can be classified as outliers since they do not have large studentized deleted residuals (greater than 0.025 or less than -0.025). X O 02 4 6 8 10 12 14 16 18 20 9 Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Data for two variables, x and y, follow.
xX; 1 2 3
Y; 7 11 9 15 18
(a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.)
(b) Plot the standardized residuals versus
1
2
Do there appear to be any outliers in these data? Explain.
The value of the standardized residual for no observations
(c) Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.)
Studentized
X; Yi Deleted Residual
3
4
02 4 6 8 10 12 14 16 18 20
y
7
11
9
5
15
5 18
L
[
02 4 6 8 10 12 14 16 18 20
9
O
0
6 6 8 10 12 14 16 18 20
V
✔ is either greater than +2 or less than -2. Therefore, there are no outliers ✓ ✓
At the 0.05 level of significance, can any of these observations be classified as an outlier? Explain. (Select all that apply.)
Observation x,- 1 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025-
Observation x; - 2 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -to.025).
Observation x; -3 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025)-
Observation x,- 4 can be classified as an outlier since it has a large studentized deleted residual (greater than t
¹0.025 or less than 0.025
Observation x,- 5 can be classified as an outlier since it has a large studentized deleted residual (greater than fo.025 or less than -25).
None of the observations can be classified as outliers since they do not have large studentized deleted residuals (greater than 0.025 or less than
-0.025).
0
Q✓
0
2
8 10 12 14 16 18 20
3
Q
Transcribed Image Text:Data for two variables, x and y, follow. xX; 1 2 3 Y; 7 11 9 15 18 (a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.) (b) Plot the standardized residuals versus 1 2 Do there appear to be any outliers in these data? Explain. The value of the standardized residual for no observations (c) Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.) Studentized X; Yi Deleted Residual 3 4 02 4 6 8 10 12 14 16 18 20 y 7 11 9 5 15 5 18 L [ 02 4 6 8 10 12 14 16 18 20 9 O 0 6 6 8 10 12 14 16 18 20 V ✔ is either greater than +2 or less than -2. Therefore, there are no outliers ✓ ✓ At the 0.05 level of significance, can any of these observations be classified as an outlier? Explain. (Select all that apply.) Observation x,- 1 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025- Observation x; - 2 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -to.025). Observation x; -3 can be classified as an outlier since it has a large studentized deleted residual (greater than 0.025 or less than -0.025)- Observation x,- 4 can be classified as an outlier since it has a large studentized deleted residual (greater than t ¹0.025 or less than 0.025 Observation x,- 5 can be classified as an outlier since it has a large studentized deleted residual (greater than fo.025 or less than -25). None of the observations can be classified as outliers since they do not have large studentized deleted residuals (greater than 0.025 or less than -0.025). 0 Q✓ 0 2 8 10 12 14 16 18 20 3 Q
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