A statistical program is recommended. Consider the following data for two variables, x and y. * 4 5 7 8 10 12 12 22 V; 12 14 16 15 18 20 25 19 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) xy Standardized Residuals 4 12 -0.86 x 5 14 -0.37 x 7 16 -0.02 ✓ 8 15 -0.47 10 18 0.19 12 20 0.54 12 25 2.09 22 19 -1.12 Do the data include any outliers? Explain. There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers. There is one standardized residuals that is less than -2 or greater than +2, so there is one possible outlier. There are two standardized residuals that are less than -2 or greater than +2, so there are two possible outliers. There are more than two standardized residuals that are less than -2 or greater than +2, so there are more than two possible outliers. (b) Compute the leverage values for these data. (Round your answers to two decimal places.) * Leverage Values 4 12 5 14 7 16 8 15 10 18 12 20 12 25 22 19 Do there appear to be any influential observations in these data? Explain. Minitab identifies an observation as having high leverage if h,>; for these data, Since the leverage for the observation at (x, y) = ( [ is greater than we conclude that this observation is an influential observation.
A statistical program is recommended. Consider the following data for two variables, x and y. * 4 5 7 8 10 12 12 22 V; 12 14 16 15 18 20 25 19 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) xy Standardized Residuals 4 12 -0.86 x 5 14 -0.37 x 7 16 -0.02 ✓ 8 15 -0.47 10 18 0.19 12 20 0.54 12 25 2.09 22 19 -1.12 Do the data include any outliers? Explain. There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers. There is one standardized residuals that is less than -2 or greater than +2, so there is one possible outlier. There are two standardized residuals that are less than -2 or greater than +2, so there are two possible outliers. There are more than two standardized residuals that are less than -2 or greater than +2, so there are more than two possible outliers. (b) Compute the leverage values for these data. (Round your answers to two decimal places.) * Leverage Values 4 12 5 14 7 16 8 15 10 18 12 20 12 25 22 19 Do there appear to be any influential observations in these data? Explain. Minitab identifies an observation as having high leverage if h,>; for these data, Since the leverage for the observation at (x, y) = ( [ is greater than we conclude that this observation is an influential observation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A statistical program is recommended.
Consider the following data for two variables, x and y.
* 4 5 7 8 10 12 12 22
V; 12 14 16 15 18 20 25 19
(a) Compute the standardized residuals for these data. (Round your answers to two decimal places.)
xy Standardized Residuals
4
12
-0.86
x
5
14
-0.37
x
7
16
-0.02
✓
8
15
-0.47
10
18
0.19
12
20
0.54
12 25
2.09
22
19
-1.12
Do the data include any outliers? Explain.
There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers.
There is one standardized residuals that is less than -2 or greater than +2, so there is one possible outlier.
There are two standardized residuals that are less than -2 or greater than +2, so there are two possible outliers.
There are more than two standardized residuals that are less than -2 or greater than +2, so there are more than two possible
outliers.
(b) Compute the leverage values for these data. (Round your answers to two decimal places.)
* Leverage Values
4 12
5
14
7
16
8
15
10 18
12 20
12
25
22
19
Do there appear to be any influential observations in these data? Explain.
Minitab identifies an observation as having high leverage if h,>; for these data,
Since the leverage for the observation at (x, y) = ( [
is greater than
we conclude that this observation is an influential observation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman