A company manufactures an electronic device to be used in a very wide temperature range. The company knows that increased temperature shortens the lifetime of the device, and a study is therefore performed in which the life time is determined as a function of temperature. The following data is found. Temperature (°C) 11 22 31 40 51 62 70 81 Lifetime (hours) 420 355 285 220 178 117 69 34 93 (a) Construct a linear regression model for the given data. (b) Interpret the relationship between temperature and lifetime of the electronic device. (c) Estimate the lifetime of the device given temperature of 1°C. (d) Obtain the correlation coefficient value. (e) Interpret the value of correlation coefficient. 6
A company manufactures an electronic device to be used in a very wide temperature range. The company knows that increased temperature shortens the lifetime of the device, and a study is therefore performed in which the life time is determined as a function of temperature. The following data is found. Temperature (°C) 11 22 31 40 51 62 70 81 Lifetime (hours) 420 355 285 220 178 117 69 34 93 (a) Construct a linear regression model for the given data. (b) Interpret the relationship between temperature and lifetime of the electronic device. (c) Estimate the lifetime of the device given temperature of 1°C. (d) Obtain the correlation coefficient value. (e) Interpret the value of correlation coefficient. 6
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Question

Transcribed Image Text:A company manufactures an electronic device to be used in a very wide temperature range.
The company knows that increased temperature shortens the lifetime of the device, and a
study is therefore performed in which the life time is determined as a function of temperature.
The following data is found.
Temperature (°C)
1 22 31 40 引 2 70 81
11
51
62
93
Lifetime (hours)
420
355
285
220
178
117
69
34
6
(a)
Construct a linear regression model for the given data.
(b) Interpret the relationship between temperature and lifetime of the electronic device.
(c) Estimate the lifetime of the device given temperature of 1°C.
(d)
Obtain the correlation coefficient value.
(e) Interpret the value of correlation coefficient.
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