A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 81 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 1 80 2 3 97 3 4 97 4 4 107 5 6 103 6 8 101 7 10 119 8 10 123 9 11 127 10 13 136 (a) Compute the residuals. Years of Experience Annual Sales ($1,000s) Residuals 1 80 3 97 4 97 4 107 6 103 8 101 10 119 10 123 11 127 13 136 Construct a residual plot. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis. A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 4 points below the line, 5 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −12 to 10 on the vertical axis. The maximum residual is at 4 years of experience while the minimum is at 8 years of experience. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis. A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 5 points below the line, 4 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −10 to 12 on the vertical axis. The maximum residual is at 8 years of experience while the minimum is at 4 years of experience. (b)Do the assumptions about the error terms seem reasonable in light of the residual plot? -The plot suggests a generally horizontal band of residual points indicating that the error term assumptions do not appear reasonable. -The plot suggests a generally horizontal band of residual points indicating that the error term assumptions appear reasonable. -The plot suggests a funnel pattern in the residuals indicating that the error term assumptions do not appear reasonable. -The plot suggests curvature in the residuals indicating that the error term assumptions appear reasonable. -The plot suggests a funnel pattern in the residuals indicating that the error term assumptions appear reasonable

A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 81 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 1 80 2 3 97 3 4 97 4 4 107 5 6 103 6 8 101 7 10 119 8 10 123 9 11 127 10 13 136 (a) Compute the residuals. Years of Experience Annual Sales ($1,000s) Residuals 1 80 3 97 4 97 4 107 6 103 8 101 10 119 10 123 11 127 13 136 Construct a residual plot. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis. A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 4 points below the line, 5 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −12 to 10 on the vertical axis. The maximum residual is at 4 years of experience while the minimum is at 8 years of experience. A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis. A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 5 points below the line, 4 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −10 to 12 on the vertical axis. The maximum residual is at 8 years of experience while the minimum is at 4 years of experience. (b)Do the assumptions about the error terms seem reasonable in light of the residual plot? -The plot suggests a generally horizontal band of residual points indicating that the error term assumptions do not appear reasonable. -The plot suggests a generally horizontal band of residual points indicating that the error term assumptions appear reasonable. -The plot suggests a funnel pattern in the residuals indicating that the error term assumptions do not appear reasonable. -The plot suggests curvature in the residuals indicating that the error term assumptions appear reasonable. -The plot suggests a funnel pattern in the residuals indicating that the error term assumptions appear reasonable

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is

ŷ = 81 + 4x.

Salesperson	Years of Experience	Annual Sales ($1,000s)
1	1	80
2	3	97
3	4	97
4	4	107
5	6	103
6	8	101
7	10	119
8	10	123
9	11	127
10	13	136

(a)

Compute the residuals.

Years of Experience	Annual Sales ($1,000s)	Residuals
1	80
3	97
4	97
4	107
6	103
8	101
10	119
10	123
11	127
13	136

Construct a residual plot.

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis.

A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 4 points below the line, 5 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −12 to 10 on the vertical axis. The maximum residual is at 4 years of experience while the minimum is at 8 years of experience.

A residual plot has 9 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 3 points below the line, 5 points above the line, and 1 point on the line. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the plot. The points are between 1 to 13 on the horizontal axis and between −12 to 10 on the vertical axis.

A residual plot has 10 points plotted on it. The horizontal axis ranges from 0 to 14 and is labeled: Years of Experience. The vertical axis ranges from −16 to 16 and is labeled: Residuals. There is a horizontal line that spans the graph at 0 on the vertical axis. There are 5 points below the line, 4 points above the line, and 1 point on the line. The points are between 1 to 13 on the horizontal axis and appear to vary randomly between −10 to 12 on the vertical axis. The maximum residual is at 8 years of experience while the minimum is at 4 years of experience.

(b)Do the assumptions about the error terms seem reasonable in light of the residual plot?

-The plot suggests a generally horizontal band of residual points indicating that the error term assumptions do not appear reasonable.

-The plot suggests a generally horizontal band of residual points indicating that the error term assumptions appear reasonable.

-The plot suggests a funnel pattern in the residuals indicating that the error term assumptions do not appear reasonable.

-The plot suggests curvature in the residuals indicating that the error term assumptions appear reasonable.

-The plot suggests a funnel pattern in the residuals indicating that the error term assumptions appear reasonable.

Expert Solution

Step 1

The data is given as-

$Salesperson$	$Year of experience (x)$	$Annual Sales (in $1000's) (y)$
1	1	80
2	3	97
3	4	97
4	4	107
5	6	103
6	8	101
7	10	119
8	10	123
9	11	127
10	13	136

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here