A regression study was done for 20 cities with latitude and average May temperature as the explanatory variable and response variable respectively. The latitude is ranged from 26 to 47 degrees and the average May temperature is measured in degrees Fahrenheit. Given that the regression equation is ?̂ = 49.4 − 0.313?. (i) Find the proportion of variation that explained by the average May temperature if the total sum of squares and the error sum of squares are 4436.6 and 1185.8 respectively.

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
Question

A regression study was done for 20 cities with latitude and average May
temperature as the explanatory variable and response variable respectively. The latitude is ranged from 26 to 47 degrees and the average May temperature is measured in degrees Fahrenheit. Given that the regression equation is ?̂ = 49.4 − 0.313?.


(i) Find the proportion of variation that explained by the average May
temperature if the total sum of squares and the error sum of squares are
4436.6 and 1185.8 respectively.


(ii) By using suitable coefficient(s), comment on the strength of the
relationship between the latitude and the average May temperature.

A regression study was done for 20 cities with latitude and average May
temperature as the explanatory variable and response variable respectively. The
latitude is ranged from 26 to 47 degrees and the average May temperature is
measured in degrees Fahrenheit. Given that the regression equation is ŷ =
49.4 – 0.313x.
(i)
Find the proportion of variation that explained by the average May
temperature if the total sum of squares and the error sum of squares are
4436.6 and 1185.8 respectively.
By using suitable coefficient(s), comment on the strength of the
relationship between the latitude and the average May temperature.
(ii)
Transcribed Image Text:A regression study was done for 20 cities with latitude and average May temperature as the explanatory variable and response variable respectively. The latitude is ranged from 26 to 47 degrees and the average May temperature is measured in degrees Fahrenheit. Given that the regression equation is ŷ = 49.4 – 0.313x. (i) Find the proportion of variation that explained by the average May temperature if the total sum of squares and the error sum of squares are 4436.6 and 1185.8 respectively. By using suitable coefficient(s), comment on the strength of the relationship between the latitude and the average May temperature. (ii)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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