Answered: The following data were used in a…

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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Question

The following data were used in a regression study.

Observation	1	2	3	4	5	6	7	8	9
x_i	2	3	4	5	7	7	7	8	9
y_i	3	5	4	5	4	6	9	6	11

(a)

Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ = ??

(b)Construct a plot of the residuals.

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 5 points lie below the line and 4 lie above it. The points tend to become closer to the line as x increases. The approximate locations of the points are:

(2, 2.6),
(3, −1.6),
(4, 2.2),
(5, −0.8),
(7, −2.8),
(7, −0.3),
(7, −0.5),
(8, 1.3),
(9, 0.1).

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 5 points lie below the line and 4 lie above it. The points tend to become farther away from the line as x increases. The approximate locations of the points are:

(2, 0.1),
(3, 1.3),
(4, −0.5),
(5, −0.3),
(7, −2.8),
(7, −0.8),
(7, 2.2),
(8, −1.6),
(9, 2.6).

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 4 points lie below the line and 5 lie above it. The points tend to become farther away from the line as x increases. The approximate locations of the points are:

(2, −0.1),
(3, −1.3),
(4, 0.5),
(5, 0.3),
(7, 2.8),
(7, 0.8),
(7, −2.2),
(8, 1.6),
(9, −2.6).

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 10 and is labeled: x. The vertical axis ranges from −4 to 4 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. 4 points lie below the line and 5 lie above it. The points tend to become closer to the line as x increases. The approximate locations of the points are: