Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 12 14 16 15 18 20 24 20 #1) Compute the standardized residuals for these data. (Round your answers to two decimal places.) xi yi Standardized Residuals 4 12 5 14 7 16 8 15
Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 12 14 16 15 18 20 24 20 #1) Compute the standardized residuals for these data. (Round your answers to two decimal places.) xi yi Standardized Residuals 4 12 5 14 7 16 8 15
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
Consider the following data for two variables, x and y.
|
xi
|
4 | 5 | 7 | 8 | 10 | 12 | 12 | 22 |
|---|---|---|---|---|---|---|---|---|
|
yi
|
12 | 14 | 16 | 15 | 18 | 20 | 24 | 20 |
#1)
Compute the standardized residuals for these data. (Round your answers to two decimal places.)
|
xi
|
yi
|
Standardized Residuals |
|---|---|---|
| 4 | 12 | |
| 5 | 14 | |
| 7 | 16 | |
| 8 | 15 | |
| 10 | 18 | |
| 12 | 20 | |
| 12 | 24 | |
| 22 | 20 |
#2)
Compute the leverage values for these data. (Round your answers to two decimal places.)
|
xi
|
yi
|
Leverage Values |
|---|---|---|
| 4 | 12 | |
| 5 | 14 | |
| 7 | 16 | |
| 8 | 15 | |
| 10 | 18 | |
| 12 | 20 | |
| 12 | 24 | |
| 22 | 20 |
Do there appear to be any influential observations in these data? Explain.
Minitab identifies an observation as having high leverage if hi > 6/n = ____________. Since the leverage for the observation at (xi, yi) = (__________) is greater than 6/n, we conclude that the observation is an influential observation.
(c)
Develop a scatter diagram for these data.
Does the scatter diagram indicate any influential observations? Explain.
The scatter diagram indicates that there are no influential observations because no points have a large influence on the estimated regression line
.The scatter diagram indicates that there is one influential observation because one point has a large influence on the estimated regression line.
The scatter diagram indicates that there are two influential observations because two points have a large influence on the estimated regression line.
The scatter diagram indicates that there are more than two influential observations because more than two points have a large influence on t
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