While browsing through the magazine rack at a bookstore, a statistician decides to examine the relationship between the price of a magazine and the percentage of the magazine space that contains advertisements. The data collected for eight magazines are given in the following table. Here price is the dependent variable. Percentage containing ads Price ($) 36 40 56 46 65 28 60 31 5.50 6.95 4.95 5.75 3.95 8.25 5.50 6.75 a. Find the standard deviation of errors. Round your answer to two decimal places. b. Compute the coefficient of determination. What percentage of the variation in price is explained by the least squares regression of price on the percentage of magazine space containing ads? What percentage of this variation is not explained? Round your answer for to two decimal places, and your answers for the percentages to the nearest integer. % is explained by the least squares regression. % is not explained by the least squares regression.

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
Topic Video
Question
100%
While browsing through the magazine rack at a bookstore, a statistician decides to examine the relationship between the price of a
magazine and the percentage of the magazine space that contains advertisements. The data collected for eight magazines are given
in the following table. Here price is the dependent variable.
Percentage
36
40
56
46
65
28
60
31
containing ads
Price ($)
5.50 6.95 4.95 5.75 3.95 8.25 5.50 6.75
a. Find the standard deviation of errors.
Round your answer to two decimal places.
Se = i
b. Compute the coefficient of determination. What percentage of the variation in price is explained by the least squares regression
of price on the percentage of magazine space containing ads? What percentage of this variation is not explained?
Round your answer for ? to two decimal places, and your answers for the percentages to the nearest integer.
% is explained by the least squares regression.
% is not explained by the least squares regression.
Transcribed Image Text:While browsing through the magazine rack at a bookstore, a statistician decides to examine the relationship between the price of a magazine and the percentage of the magazine space that contains advertisements. The data collected for eight magazines are given in the following table. Here price is the dependent variable. Percentage 36 40 56 46 65 28 60 31 containing ads Price ($) 5.50 6.95 4.95 5.75 3.95 8.25 5.50 6.75 a. Find the standard deviation of errors. Round your answer to two decimal places. Se = i b. Compute the coefficient of determination. What percentage of the variation in price is explained by the least squares regression of price on the percentage of magazine space containing ads? What percentage of this variation is not explained? Round your answer for ? to two decimal places, and your answers for the percentages to the nearest integer. % is explained by the least squares regression. % is not explained by the least squares regression.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
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