Given the bivariate data: X 3 4 5 6 7 y | 2 | 3 3 a) Draw a scatter diagram for the data. b) Find n, Σχ, Σγ , Σχ , (Σχ , and Σχy. c) Find a, the slope of the least-squares line, and b the y-intercept of the least-squares li d) Draw the least-squares line on the scatter diagram from part a.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
Linear Regression and Correlation
ection 4.5 Linear Regression and Correlation
1.
Given the bivariate data:
X
3
4
6.
7
y
3
3
5
a) Draw a scatter diagram for the data.
b ) Find n , Σχ, Σγ , Σχ2, (Σx) , and Σχy.
c) Find a, the slope of the least-squares line, and b the y-intercept of the least-squares line.
d) Draw the least-squares line on the scatter diagram from part a.
e) Is the point (x, ỹ)on the least-squares line?
f) Use the equation of the least-squares line to predict the value of y when x=3.4.
g) Find, to the nearest hundredth, the linear correlation coefficient.
Transcribed Image Text:ection 4.5 Linear Regression and Correlation 1. Given the bivariate data: X 3 4 6. 7 y 3 3 5 a) Draw a scatter diagram for the data. b ) Find n , Σχ, Σγ , Σχ2, (Σx) , and Σχy. c) Find a, the slope of the least-squares line, and b the y-intercept of the least-squares line. d) Draw the least-squares line on the scatter diagram from part a. e) Is the point (x, ỹ)on the least-squares line? f) Use the equation of the least-squares line to predict the value of y when x=3.4. g) Find, to the nearest hundredth, the linear correlation coefficient.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

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