The table below shows the number of people living in a house and the weight (in pounds) at the curb just before trash pickup. People 2 3 6 1 7 1 3 1 2 4 Trash (Pounds) 18 33 93 23 83 26 37 20 22 45

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
icon
Related questions
Question

The table below shows the number of people living in a house and the weight (in pounds) at the curb
just before trash pickup.

People 2 3 6 1 7 1 3 1 2 4
Trash (Pounds) 18 33 93 23 83 26 37 20 22 45


(a) Draw a scatterplot of the number of people in a house versus the weight of their trash.
(b) Describe the scatterplot. Note: You should include all topics we discussed in class.
(c) Can we use the correlation coefficient r to describe the relationship between the two variables? Justify your answer.
(d) Find the correlation coefficient, r. Is this value plausible for the given data set? What does it tell us about our data set?
(e) What is r2 and what does this value mean with respect to our data?
(f) Find the least squares regression line.
(g) What does the slope mean in the above context?
(h) If we have 5 people living in a house, what can we predict their trash to weigh before it is picked up? Is this an extrapolation? Justify your answer.
(i) If we have 85 people living in a house, what can we predict their trash to weigh before it is picked up? Is this an extrapolation? Justify your answer. 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell