of the different temperatures. The data is presented here: Temperature (Kelvin) 100 125 135 Time to completion (seconds) 667 120 606 599 394 145 185 Compute the MEAN temperature for the experiment? Answer with four decimal precision. Compute the MEAN time to completion for the chemical process? Answer with four decimal precision. 205 265 435 434 397 290 310 320 330 385 284 323 191 205 178 143 154 Compute the CORRELATION COEFFICIENT r between the temperature and the time to completion Answer as a pure number with 4 decimal precision. How much of the variation in the 'time to completion' is explained by the variation in the temperature'? Answer as a pure number with 4 decimal precision. 400 What is the equation for the line of best fit? Answer with at least three decimal precision. Be careful where you put slope and where you put intercept! y = X
of the different temperatures. The data is presented here: Temperature (Kelvin) 100 125 135 Time to completion (seconds) 667 120 606 599 394 145 185 Compute the MEAN temperature for the experiment? Answer with four decimal precision. Compute the MEAN time to completion for the chemical process? Answer with four decimal precision. 205 265 435 434 397 290 310 320 330 385 284 323 191 205 178 143 154 Compute the CORRELATION COEFFICIENT r between the temperature and the time to completion Answer as a pure number with 4 decimal precision. How much of the variation in the 'time to completion' is explained by the variation in the temperature'? Answer as a pure number with 4 decimal precision. 400 What is the equation for the line of best fit? Answer with at least three decimal precision. Be careful where you put slope and where you put intercept! y = X
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
The temperature of a certain chemical process is thought to be related to the time it takes for the process to reach completion. Out goal is to that relationship so that we can use it to predict TIME TO REACH COMPLETION at various TEMPERATURES. 14 trials are set up and the time for the process to complete is measured for each of the different temperatures. The data is presented here:(data is in the image added to the question as well as more questions to answer)
![**Data Analysis of Chemical Process Completion Times at Varying Temperatures**
In this exercise, we analyze the completion times of a chemical process at different temperatures. The data provided is as follows:
- **Temperature (Kelvin):** 100, 125, 120, 135, 145, 185, 205, 265, 290, 310, 320, 330, 385, 400
- **Time to completion (seconds):** 667, 606, 599, 394, 435, 397, 284, 323, 191, 205, 178, 143, 143, 154
**Tasks to be Performed:**
1. **Compute the MEAN temperature for the experiment.**
- *Answer with four decimal precision.*
2. **Compute the MEAN time to completion for the chemical process.**
- *Answer with four decimal precision.*
3. **Compute the CORRELATION COEFFICIENT (r) between the temperature and the time to completion.**
- *Answer as a pure number with four decimal precision.*
4. **Determine how much of the variation in the 'time to completion' is explained by the variation in the 'temperature'.**
- *Answer as a pure number with four decimal precision.*
5. **Calculate the equation for the line of best fit.**
- *Answer with at least three decimal precision. Be careful where you put the slope and where you put the intercept!*
\[\hat{y} = \text{(slope)} \times x + \text{(intercept)}\]
**Note:** Ensure all computations are precise and double-check your calculations where required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F385dd7d1-1a38-4b33-a039-059d65b0c7b0%2Fe1ec8289-c396-456b-98f1-e79cece9fbce%2F2c7knkb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Data Analysis of Chemical Process Completion Times at Varying Temperatures**
In this exercise, we analyze the completion times of a chemical process at different temperatures. The data provided is as follows:
- **Temperature (Kelvin):** 100, 125, 120, 135, 145, 185, 205, 265, 290, 310, 320, 330, 385, 400
- **Time to completion (seconds):** 667, 606, 599, 394, 435, 397, 284, 323, 191, 205, 178, 143, 143, 154
**Tasks to be Performed:**
1. **Compute the MEAN temperature for the experiment.**
- *Answer with four decimal precision.*
2. **Compute the MEAN time to completion for the chemical process.**
- *Answer with four decimal precision.*
3. **Compute the CORRELATION COEFFICIENT (r) between the temperature and the time to completion.**
- *Answer as a pure number with four decimal precision.*
4. **Determine how much of the variation in the 'time to completion' is explained by the variation in the 'temperature'.**
- *Answer as a pure number with four decimal precision.*
5. **Calculate the equation for the line of best fit.**
- *Answer with at least three decimal precision. Be careful where you put the slope and where you put the intercept!*
\[\hat{y} = \text{(slope)} \times x + \text{(intercept)}\]
**Note:** Ensure all computations are precise and double-check your calculations where required.
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