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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F592f2de4-67f2-47ee-951b-b57d9505c0f7%2Fb8f1fcb0-1997-4329-9584-72f5504b7f62%2Flf8gee_processed.png&w=3840&q=75)
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?
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