6 11 15 18 20 Y 5 13 20 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ý = -8.56+1.68x (b) Compute the residuals. (Round your answers to two decimal places.) Residuals 6 5 3.48 11 7. 9.92 15 13 3.64 18 20 1.68 20 30 4.96 (c) Develop a plot of the residuals against the independent variable x. 6. 4 4 2 -2 -4 -4 -6 -6 10 15 20 25 10 15 20 25 6T 61 4 4 2- -2 -2- -4 -4 -6- 5 10 15 20 25 -6- 10 15 20 25 Do the assumptions about the error terms seem to be satisfied? O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. Residuals Residuals Residuals Residuals

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Given are data for two variables, x and y.
6.
11
15
18
20
Yi
13
20
30
(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)
ŷ = -8.56 + 1.68x
(b) Compute the residuals. (Round your answers to two decimal places.)
Residuals
5
3.48
9.92
11
15
13
3.64
18
20
1.68
20
30
4.96
(c) Develop a plot of the residuals against the independent variable x.
6.
6.
4.
4
2.
-2.
-2-
-4
-4
-6-
-6
10
15
20
25
5
10
15
20
25
6-
6.
4
4-
2
2-
-2
-2-
-4
-4-
–6-
10
15
20
25
-6+
5
10
15
20
25
Do the assumptions about the error terms seem to be satisfied?
O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.
O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied.
Residuals
Residuals
Residuals
Residuals
Transcribed Image Text:Given are data for two variables, x and y. 6. 11 15 18 20 Yi 13 20 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = -8.56 + 1.68x (b) Compute the residuals. (Round your answers to two decimal places.) Residuals 5 3.48 9.92 11 15 13 3.64 18 20 1.68 20 30 4.96 (c) Develop a plot of the residuals against the independent variable x. 6. 6. 4. 4 2. -2. -2- -4 -4 -6- -6 10 15 20 25 5 10 15 20 25 6- 6. 4 4- 2 2- -2 -2- -4 -4- –6- 10 15 20 25 -6+ 5 10 15 20 25 Do the assumptions about the error terms seem to be satisfied? O The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. O The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. Residuals Residuals Residuals Residuals
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