3. A temperature sensor is used to measure the temperature of a room, the temperature is constant. The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get the estimated room temperature. Show all details of your solution
3. A temperature sensor is used to measure the temperature of a room, the temperature is constant. The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get the estimated room temperature. Show all details of your solution
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![3. A temperature sensor is used to measure the temperature of a room, the temperature is constant.
The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the
temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance
of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get
the estimated room temperature. Show all details of your
solution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3502f7fa-32b5-46f4-b7fc-44701b0fabec%2F8b66cb63-e8b5-490d-82aa-e1a827d734de%2Fgi0b4ya_processed.png&w=3840&q=75)
Transcribed Image Text:3. A temperature sensor is used to measure the temperature of a room, the temperature is constant.
The following measurements 23°C, 24°C, 22.2°C, are available in a short time window when the
temperature sensor is used. The sensors output equation is given as zk = 2xk+Nk, and the variance
of the noise affecting the sensors readings is 0.2. Use the least-squares estimation technique to get
the estimated room temperature. Show all details of your
solution
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