Homework Help is Here – Start Your Trial Now!
Math
Statistics
The scatterplot shows the four points (1,2), (2, 6), (4, 2) and (5,6) plotted in a 10x10 graphing window. Find the correlation and the equation of the time of best fit. regression line. r = ŷ = 2. Now investigate the influence of one more point on the correlation and the slope. Try each of these as the fifth point and record the new correlation and slope. Also note whether the new point has a small or large residual (NOTE: Add each point to the original four, one at a time, see what happens, and then remove that point. There are never more than 5 points in the plot!) Slope of the regression line Fifth Size of the point Description Correlation residual None the original four points N/A right in the center of the given points (3,4) also on the line, but far from the (8,6) other points only close to the line, but much farther away (10,7) above the center of the original (3,8) cluster nearby, but not consistent with the (1,7) apparent pattern farther away, and also not consistent (8,9) (10,0) farther and stranger... 3. A point that dramatically changes the apparent slope of the regression line is called an influential point. You need to be able to spot potential influential points in a scatterplot. What should you look for? 4. Originally there were only four points here. Suppose instead that we had started with 50 points clustered in essentially the same region and displaying an association of roughly the same strength and direction. Would our fifty-first point still be as influential? Where would you locate one additional point so influential that it changed the line as dramatically as (10,0) did above?

The scatterplot shows the four points (1,2), (2, 6), (4, 2) and (5,6) plotted in a 10x10 graphing window. Find the correlation and the equation of the time of best fit. regression line. r = ŷ = 2. Now investigate the influence of one more point on the correlation and the slope. Try each of these as the fifth point and record the new correlation and slope. Also note whether the new point has a small or large residual (NOTE: Add each point to the original four, one at a time, see what happens, and then remove that point. There are never more than 5 points in the plot!) Slope of the regression line Fifth Size of the point Description Correlation residual None the original four points N/A right in the center of the given points (3,4) also on the line, but far from the (8,6) other points only close to the line, but much farther away (10,7) above the center of the original (3,8) cluster nearby, but not consistent with the (1,7) apparent pattern farther away, and also not consistent (8,9) (10,0) farther and stranger... 3. A point that dramatically changes the apparent slope of the regression line is called an influential point. You need to be able to spot potential influential points in a scatterplot. What should you look for? 4. Originally there were only four points here. Suppose instead that we had started with 50 points clustered in essentially the same region and displaying an association of roughly the same strength and direction. Would our fifty-first point still be as influential? Where would you locate one additional point so influential that it changed the line as dramatically as (10,0) did above?

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
icon
Concept explainers
Question
1. The scatterplot shows the four points (1,2), (2, 6), (4, 2) and (5,6) plotted in a 10x10 graphing window. Find the correlation and the equation of the fime of best fit. regression line. r = ŷ = 2. Now investigate the influence of one more point on the correlation and the slope. Try each of these as the fifth point and record the new correlation and slope. Also note whether the new point has a small or large residual (NOTE: Add each point to the original four, one at a time, see what happens, and then remove that point. There are never more than 5 points in the plot!) Slope of the regression line Fifth Size of the point Description Correlation residual None the original four points N/A right in the center of the given points (3,4) also on the line, but far from the other points (8,6) only close to the line, but much farther away (10,7) above the center of the original (3,8) cluster nearby, but not consistent with the apparent pattern farther away, and also not (1,7) (8,9) consistent (10,0) farther and stranger... 3. A point that dramatically changes the apparent slope of the regression line is called an influential point. You need to be able to spot potential influential points in a scatterplot. What should you look for? 4. Originally there were only four points here. Suppose instead that we had started with 50 points clustered in essentially the same region and displaying an association of roughly the same strength and direction. Would our fifty-first point still be as influential? Where would you locate one additional point so influential that it changed the line as dramatically as (10,0) did above?
Transcribed Image Text:1. The scatterplot shows the four points (1,2), (2, 6), (4, 2) and (5,6) plotted in a 10x10 graphing window. Find the correlation and the equation of the fime of best fit. regression line. r = ŷ = 2. Now investigate the influence of one more point on the correlation and the slope. Try each of these as the fifth point and record the new correlation and slope. Also note whether the new point has a small or large residual (NOTE: Add each point to the original four, one at a time, see what happens, and then remove that point. There are never more than 5 points in the plot!) Slope of the regression line Fifth Size of the point Description Correlation residual None the original four points N/A right in the center of the given points (3,4) also on the line, but far from the other points (8,6) only close to the line, but much farther away (10,7) above the center of the original (3,8) cluster nearby, but not consistent with the apparent pattern farther away, and also not (1,7) (8,9) consistent (10,0) farther and stranger... 3. A point that dramatically changes the apparent slope of the regression line is called an influential point. You need to be able to spot potential influential points in a scatterplot. What should you look for? 4. Originally there were only four points here. Suppose instead that we had started with 50 points clustered in essentially the same region and displaying an association of roughly the same strength and direction. Would our fifty-first point still be as influential? Where would you locate one additional point so influential that it changed the line as dramatically as (10,0) did above?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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