******* Consider the data given below. X -2 -1 y 3 012 Submit Answer 3 7 9 10 Calculate the coefficient of determination, 2. (Round your answer to four decimal places.) 2 = What information does this value give about the usefulness of the linear model? O The value of 2 is quite large which suggests that the median of the y data is very close to the median of the x data. O The value of r2 is quite large which suggests that the average of the y data is very close to the average of the x data. The value of r2 is very close to 0 which suggests that the average of the y data is very different from the average of the x data. O The value of 2 is quite large which suggests that a large proportion of the variation in y can be explained by the variable x. O The value of 2 is very close to 0 which suggests that a small proportion of the variation in y can be explained by the variable x.
******* Consider the data given below. X -2 -1 y 3 012 Submit Answer 3 7 9 10 Calculate the coefficient of determination, 2. (Round your answer to four decimal places.) 2 = What information does this value give about the usefulness of the linear model? O The value of 2 is quite large which suggests that the median of the y data is very close to the median of the x data. O The value of r2 is quite large which suggests that the average of the y data is very close to the average of the x data. The value of r2 is very close to 0 which suggests that the average of the y data is very different from the average of the x data. O The value of 2 is quite large which suggests that a large proportion of the variation in y can be explained by the variable x. O The value of 2 is very close to 0 which suggests that a small proportion of the variation in y can be explained by the variable 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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![**Consider the data given below.**
\[
\begin{array}{c|cccccc}
x & -2 & -1 & 0 & 1 & 2 \\
\hline
y & 3 & 3 & 7 & 9 & 10 \\
\end{array}
\]
**Calculate the coefficient of determination, \( r^2 \). (Round your answer to four decimal places.)**
\[ r^2 = \_\_\_\_ \]
**What information does this value give about the usefulness of the linear model?**
- ○ The value of \( r^2 \) is quite large which suggests that the median of the \( y \) data is very close to the median of the \( x \) data.
- ○ The value of \( r^2 \) is quite large which suggests that the average of the \( y \) data is very close to the average of the \( x \) data.
- ○ The value of \( r^2 \) is very close to 0 which suggests that the average of the \( y \) data is very different from the average of the \( x \) data.
- ○ The value of \( r^2 \) is quite large which suggests that a large proportion of the variation in \( y \) can be explained by the variable \( x \).
- ○ The value of \( r^2 \) is very close to 0 which suggests that a small proportion of the variation in \( y \) can be explained by the variable \( x \).
**Note:** The prompt includes a submission area labeled "Submit Answer."](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e02f2d-b0b4-40f2-b59c-ee2919cc5490%2F0f42a560-1af9-4773-9e94-b0666669be95%2F0mhs8p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Consider the data given below.**
\[
\begin{array}{c|cccccc}
x & -2 & -1 & 0 & 1 & 2 \\
\hline
y & 3 & 3 & 7 & 9 & 10 \\
\end{array}
\]
**Calculate the coefficient of determination, \( r^2 \). (Round your answer to four decimal places.)**
\[ r^2 = \_\_\_\_ \]
**What information does this value give about the usefulness of the linear model?**
- ○ The value of \( r^2 \) is quite large which suggests that the median of the \( y \) data is very close to the median of the \( x \) data.
- ○ The value of \( r^2 \) is quite large which suggests that the average of the \( y \) data is very close to the average of the \( x \) data.
- ○ The value of \( r^2 \) is very close to 0 which suggests that the average of the \( y \) data is very different from the average of the \( x \) data.
- ○ The value of \( r^2 \) is quite large which suggests that a large proportion of the variation in \( y \) can be explained by the variable \( x \).
- ○ The value of \( r^2 \) is very close to 0 which suggests that a small proportion of the variation in \( y \) can be explained by the variable \( x \).
**Note:** The prompt includes a submission area labeled "Submit Answer."
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