(e) Find the value of the coefficient of determination r2. what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for 2 to four decimal plac Round your answers for the percentages to two decimal place.) explained unexplained (f) Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. O The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it does not make sense to use the least-squares line for prediction. O The correlation between the variables is so low that it does not make sense to use the least-squares line for prediction.
(e) Find the value of the coefficient of determination r2. what percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for 2 to four decimal plac Round your answers for the percentages to two decimal place.) explained unexplained (f) Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. O The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it makes sense to use the least-squares line for prediction. O The correlation between the variables is so high that it does not make sense to use the least-squares line for prediction. O The correlation between the variables is so low that it does not make sense to use the least-squares line for prediction.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.
I need help with (d) (e) and (f)
Transcribed Image Text:Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained.
6.0
5.9
4.2
5.2
6.2
6.5
11.1
y
-1.5
-4.0
-7.4
-4.0
3.6
-0.1
-4.4
Complete parts (a) through (e), given Ex = 45.1, Ey = -17.8, Ex? = 319.39, Ey? = 121.34, Exy = -111.65, and rx 0.0648.
(b) Verify the given sums Ex, Ey, Ex?, Ey2, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)
Σχ
Ey =|
Ex2 =
Ey2 =
Σχy
r =
(c) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answer to four decimal places.)
x =
y =
ŷ =
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
y
y
10
10
5
5
a
b.
-5
2
4.
6
8
10
12
14
4
8
10
12
14
y
y
10
10H
5
5
of
C
d.
X
2
4
8
10
12
14
2
4
8
10
12
14
Transcribed Image Text:(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places.
Round your answers for the percentages to two decimal place.)
r2 =
explained
%
unexplained
%
(f) Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer.
O The correlation between the variables is so low that it makes sense to use the least-squares line for prediction.
O The correlation between the variables is so high that it makes sense to use the least-squares line for prediction.
O The correlation between the variables is so high that it does not make sense to use the least-squares line for prediction.
O The correlation between the variables is so low that it does not make sense to use the least-squares line for prediction.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman