(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) (b) Compute the residuals. (Round your answers to two decimal places.) 11 15 13 5 18 19 20 30 (c) Develop a plot of the residuals against the independent variable x. 4- 11 2 15 13 19 30 Residuals 13 Do the assumptions about the error terms seem to be satisfied? 18 19 0 -2+ ਦੀ ਇਸ ਵਿਚ . 10 15 20 3 10 13 20 25 10 15 20 25 x x 0. 5 20 30 25 O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. O (d) Compute the standardized residuals. (Round your answers to two decimal places.) XV, Standardized Residuals 6 4 2 2 0 5 . . 5 . 10 x . 15 20 25 n

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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(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
9-
(b) Compute the residuals. (Round your answers to two decimal places.)
6
x; 6 11 15 18 20
11 9
Y;
15 13
5 C
18 19
20 30
(c) Develop a plot of the residuals against the independent variable x.
11
15
-2-
-4
20
0
6 5
Residuals
13
18 19
3
Do
the assumptions about the error terms seem to be satisfied?
.
30
10
13
(d) Compute the standardized residuals. (Round your answers to two decimal places.)
x y₁ Standardized Residuals
.
20
25
5
O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied.
O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied.
O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied.
The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied.
O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
10
x
13
.
20
25
0
5
10
x
15
.
20
O
4
5
10
x
13
20
25
Transcribed Image Text:(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) 9- (b) Compute the residuals. (Round your answers to two decimal places.) 6 x; 6 11 15 18 20 11 9 Y; 15 13 5 C 18 19 20 30 (c) Develop a plot of the residuals against the independent variable x. 11 15 -2- -4 20 0 6 5 Residuals 13 18 19 3 Do the assumptions about the error terms seem to be satisfied? . 30 10 13 (d) Compute the standardized residuals. (Round your answers to two decimal places.) x y₁ Standardized Residuals . 20 25 5 O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are not satisfied. O The plot suggests a generally horizontal band of residual points indicating that the error term assumptions are satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. 10 x 13 . 20 25 0 5 10 x 15 . 20 O 4 5 10 x 13 20 25
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