Two different methods can be used for measuring the temperature of the solution of a Hall cell used in aluminum smelting, a thermocouple implanted in the cell and an indirect measurement produced from an IR device. The indirect method is preferable because the thermocouples are eventually destroyed by the solution. Consider the following 10 measurements: Thermocouple, x 921 935 916 920 940 934 925 940 933 927 IR, y 916 934 924 921 945 929 919 943 932 935 (a) Fit a simple linear regression model to the data. i + i x (Round your answers to 3 decimal places.) (b) Test for significance of regression using a = 0.05 and calculate R. Calculate fo: . (Round your answer to 2 decimal places.) Is the simple linear regression model significant? R2- % (Round your answer to 2 decimal places.) (c) Test the hypothesis Ho: B1 = 1 versus H: ß, # 1. Calculate to: i . (Round your answers to 3 decimal places.) Is there evidence to support a claim that both devices produce equivalent temperature measurements?

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

6

Two different methods can be used for measuring the temperature of the solution of a Hall cell used in aluminum smelting, a
thermocouple implanted in the cell and an indirect measurement produced from an IR device. The indirect method is preferable
because the thermocouples are eventually destroyed by the solution. Consider the following 10 measurements:
Thermocouple, x 921 935 916 920 940 934 925 940 933 927
IR, y
916 934 924 921 945 929 919 943 932 935
(a) Fit a simple linear regression model to the data.
ŷ =
i
+ i
x (Round your answers to 3 decimal places.)
(b) Test for significance of regression using a = 0.05 and calculate R'.
Calculate fo: i
. (Round your answer to 2 decimal places.)
Is the simple linear regression model significant?
R2 = i
% (Round your answer to 2 decimal places.)
(c) Test the hypothesis Ho: B1 = 1 versus H1: B, # 1.
Calculate to: i
. (Round your answers to 3 decimal places.)
Is there evidence to support a claim that both devices produce equivalent temperature measurements?
Transcribed Image Text:Two different methods can be used for measuring the temperature of the solution of a Hall cell used in aluminum smelting, a thermocouple implanted in the cell and an indirect measurement produced from an IR device. The indirect method is preferable because the thermocouples are eventually destroyed by the solution. Consider the following 10 measurements: Thermocouple, x 921 935 916 920 940 934 925 940 933 927 IR, y 916 934 924 921 945 929 919 943 932 935 (a) Fit a simple linear regression model to the data. ŷ = i + i x (Round your answers to 3 decimal places.) (b) Test for significance of regression using a = 0.05 and calculate R'. Calculate fo: i . (Round your answer to 2 decimal places.) Is the simple linear regression model significant? R2 = i % (Round your answer to 2 decimal places.) (c) Test the hypothesis Ho: B1 = 1 versus H1: B, # 1. Calculate to: i . (Round your answers to 3 decimal places.) Is there evidence to support a claim that both devices produce equivalent temperature measurements?
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
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