Homework Help is Here – Start Your Trial Now!
Math
Statistics
A statistical program is recommended. Consider the following data for two variables, x and y. x 135 110 130 145 175 160 120 y 145 105 125 120 135 135 130 105 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) X; Y; Standardized Residuals 135 145 110 105 130 125 145 120 175 135 160 130 120 105 Do the data include any outliers? Explain. (Round your answers to two decimal places.) The standardized residual with the largest absolute value is (b) Plot the standardized residuals against ý. Does this plot reveal any outliers? O The plot shows no possible outliers. O The plot shows one possible outlier. The plot shows two possible outliers. O The plot shows more than two possible outliers. , corresponding to y, = (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? O The diagram indicates that there are no possible outliers. O The diagram indicates that there is one possible outlier. O The diagram indicates that there are two possible outliers. O The diagram indicates that there are more than two possible outliers. Since this residual is ---Select--- it ---Select--- ✓an outlier.

A statistical program is recommended. Consider the following data for two variables, x and y. x 135 110 130 145 175 160 120 y 145 105 125 120 135 135 130 105 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) X; Y; Standardized Residuals 135 145 110 105 130 125 145 120 175 135 160 130 120 105 Do the data include any outliers? Explain. (Round your answers to two decimal places.) The standardized residual with the largest absolute value is (b) Plot the standardized residuals against ý. Does this plot reveal any outliers? O The plot shows no possible outliers. O The plot shows one possible outlier. The plot shows two possible outliers. O The plot shows more than two possible outliers. , corresponding to y, = (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? O The diagram indicates that there are no possible outliers. O The diagram indicates that there is one possible outlier. O The diagram indicates that there are two possible outliers. O The diagram indicates that there are more than two possible outliers. Since this residual is ---Select--- it ---Select--- ✓an outlier.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question
# Educational Content on Statistical Analysis ## Statistical Analysis A statistical program is recommended. ### Consider the following data for two variables, \( x \) and \( y \). | \( x_i \) | 135 | 110 | 130 | 145 | 175 | 160 | 120 | |-----------|-----|-----|-----|-----|-----|-----|-----| | \( y_i \) | 145 | 105 | 125 | 120 | 135 | 130 | 105 | #### (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) | \( x_i \) | \( y_i \) | Standardized Residuals | |-----------|-----------|------------------------| | 135 | 145 | | | 110 | 105 | | | 130 | 125 | | | 145 | 120 | | | 175 | 135 | | | 160 | 130 | | | 120 | 105 | | **Do the data include any outliers? Explain. (Round your answers to two decimal places.)** The standardized residual with the largest absolute value is \_\_\_\_\_\_, corresponding to \( y_i \) = \_\_\_\_\_\_. Since this residual is \_\_\_\_\_\_ (Select), it \_\_\_\_\_\_ (Select) an outlier. #### (b) Plot the standardized residuals against \( \hat{y} \). Does this plot reveal any outliers? - ○ The plot shows no possible outliers. - ○ The plot shows one possible outlier. - ○ The plot shows two possible outliers. - ○ The plot shows more than two possible outliers. #### (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? - ○ The diagram indicates that there are no possible outliers. - ○ The diagram indicates that there is one possible outlier. - ○ The diagram indicates that there are two possible outliers. - ○ The diagram indicates that there are more than two possible outliers. ### Explanation In this task, we are evaluating whether outliers exist in the given dataset using standardized residuals. By computing these residuals and plotting them, we analyze any deviations from the expected
Transcribed Image Text:# Educational Content on Statistical Analysis ## Statistical Analysis A statistical program is recommended. ### Consider the following data for two variables, \( x \) and \( y \). | \( x_i \) | 135 | 110 | 130 | 145 | 175 | 160 | 120 | |-----------|-----|-----|-----|-----|-----|-----|-----| | \( y_i \) | 145 | 105 | 125 | 120 | 135 | 130 | 105 | #### (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) | \( x_i \) | \( y_i \) | Standardized Residuals | |-----------|-----------|------------------------| | 135 | 145 | | | 110 | 105 | | | 130 | 125 | | | 145 | 120 | | | 175 | 135 | | | 160 | 130 | | | 120 | 105 | | **Do the data include any outliers? Explain. (Round your answers to two decimal places.)** The standardized residual with the largest absolute value is \_\_\_\_\_\_, corresponding to \( y_i \) = \_\_\_\_\_\_. Since this residual is \_\_\_\_\_\_ (Select), it \_\_\_\_\_\_ (Select) an outlier. #### (b) Plot the standardized residuals against \( \hat{y} \). Does this plot reveal any outliers? - ○ The plot shows no possible outliers. - ○ The plot shows one possible outlier. - ○ The plot shows two possible outliers. - ○ The plot shows more than two possible outliers. #### (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any outliers in the data? - ○ The diagram indicates that there are no possible outliers. - ○ The diagram indicates that there is one possible outlier. - ○ The diagram indicates that there are two possible outliers. - ○ The diagram indicates that there are more than two possible outliers. ### Explanation In this task, we are evaluating whether outliers exist in the given dataset using standardized residuals. By computing these residuals and plotting them, we analyze any deviations from the expected
**Understanding Implications for Simple Linear Regression** In the context of analyzing data, identifying outliers is crucial for ensuring the accuracy and validity of a regression model. Consider the following options related to simple linear regression: 1. **Option 1:** For simple linear regression, we can determine an outlier by looking at the scatter diagram. 2. **Option 2:** For simple linear regression, we must calculate standardized residuals, plot a standardized residual plot, and construct a scatter diagram to identify an outlier. 3. **Option 3:** For simple linear regression, it is impossible to determine whether there is an outlier using standardized residuals, a standardized residual plot, or a scatter diagram. ### Diagram Explanation - **Scatter Diagram:** A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present. - **Standardized Residuals and Plots:** Standardized residuals are the residual values divided by their standard deviation. Plotting these can help in identifying outliers and assessing the validity of the regression model. Understanding these methods can significantly enhance the reliability of data analysis in regression studies.
Transcribed Image Text:**Understanding Implications for Simple Linear Regression** In the context of analyzing data, identifying outliers is crucial for ensuring the accuracy and validity of a regression model. Consider the following options related to simple linear regression: 1. **Option 1:** For simple linear regression, we can determine an outlier by looking at the scatter diagram. 2. **Option 2:** For simple linear regression, we must calculate standardized residuals, plot a standardized residual plot, and construct a scatter diagram to identify an outlier. 3. **Option 3:** For simple linear regression, it is impossible to determine whether there is an outlier using standardized residuals, a standardized residual plot, or a scatter diagram. ### Diagram Explanation - **Scatter Diagram:** A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present. - **Standardized Residuals and Plots:** Standardized residuals are the residual values divided by their standard deviation. Plotting these can help in identifying outliers and assessing the validity of the regression model. Understanding these methods can significantly enhance the reliability of data analysis in regression studies.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS