A statistical program is recommended. Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 12 14 16 15 17 20 24 19 (a) 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 17 12 20 12 24 22 19 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.) xi yi Leverage Values 4 12 5 14 7 16 8 15 10 17 12 20 12 24 22 19
A statistical program is recommended. Consider the following data for two variables, x and y. xi 4 5 7 8 10 12 12 22 yi 12 14 16 15 17 20 24 19 (a) 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 17 12 20 12 24 22 19 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.) xi yi Leverage Values 4 12 5 14 7 16 8 15 10 17 12 20 12 24 22 19
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
Related questions
Question
A statistical program is recommended.
Consider the following data for two variables, x and y.
|
xi
|
4 | 5 | 7 | 8 | 10 | 12 | 12 | 22 |
|---|---|---|---|---|---|---|---|---|
|
yi
|
12 | 14 | 16 | 15 | 17 | 20 | 24 | 19 |
(a)
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 | 17 | |
| 12 | 20 | |
| 12 | 24 | |
| 22 | 19 |
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.)
|
xi
|
yi
|
Leverage Values |
|---|---|---|
| 4 | 12 | |
| 5 | 14 | |
| 7 | 16 | |
| 8 | 15 | |
| 10 | 17 | |
| 12 | 20 | |
| 12 | 24 | |
| 22 | 19 |
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