The following sample observations were randomly selected. 6 3. 4 4 y 13 15 7 12 13 11 9 5 Click here for the Excel Data File Determine the coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.) y-y (y- (x- 7) (y-9) - 5 13 2.38 0.02 5.64 0.30 3 15 4.38 3.52 19.14 7 1.13 1.27 13.14 -4.08 3 12 -1.88 3.52 1.89 4 13 -0.88 2.38 5.64 -2.08 4 11 -0.88 0.38 0.14 -0.33 9. 1.13 -1.63 1.27 8. 3.13 -5.63 9.77 -17.58 39 85 Sx Sy The correlation coefficient of indicates a (Click to select) relationship between x and y. The coefficient of determination is found by squaring the value of x accounts for % of the variation in y.
The following sample observations were randomly selected. 6 3. 4 4 y 13 15 7 12 13 11 9 5 Click here for the Excel Data File Determine the coefficient of correlation and the coefficient of determination. Interpret the association between x and y. (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.) y-y (y- (x- 7) (y-9) - 5 13 2.38 0.02 5.64 0.30 3 15 4.38 3.52 19.14 7 1.13 1.27 13.14 -4.08 3 12 -1.88 3.52 1.89 4 13 -0.88 2.38 5.64 -2.08 4 11 -0.88 0.38 0.14 -0.33 9. 1.13 -1.63 1.27 8. 3.13 -5.63 9.77 -17.58 39 85 Sx Sy The correlation coefficient of indicates a (Click to select) relationship between x and y. The coefficient of determination is found by squaring the value of x accounts for % of the variation in y.
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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![**Exercise 13-2 (LO13-2)**
The following sample observations were randomly selected.
| x | 5 | 6 | 3 | 9 | 4 | 6 | 3 |
|---|---|---|---|---|---|---|---|
| y | 13 | 15 | 12 | 9 | 11 | 16 | 8 |
\[ \text{Click here for the Excel Data File} \]
Determine the coefficient of correlation and the coefficient of determination. Interpret the association between \( x \) and \( y \). (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.)
\[
\begin{array}{cccccccc}
x & y & \overline{x} & \overline{y} & (x - \overline{x}) & (y - \overline{y}) & (x - \overline{x})^2 & (x - \overline{x})(y - \overline{y}) \\
5 & 13 & & 2.38 & 0.02 & 5.64 & 0.30 \\
3 & 15 & & 4.38 & 3.52 & 19.14 & \\
6 & 7 & -1.13 & & 13.14 & -4.08 & \\
3 & 12 & -1.88 & & 3.52 & 1.89 & \\
4 & 11 & -0.88 & & 2.38 & 5.64 & -2.08 \\
9 & 9 & 4.13 & & 0.38 & 0.14 & -0.33 \\
6 & 1 & 1.13 & & -1.63 & 1.27 & \\
3 & 9 & -1.88 & 5.63 & 9.77 & -17.58 \\
39 & 85 \\
\end{array}
\]
\[
\overline{x} = \_\_\_ , \quad \overline{y} = \_\_\_ , \quad s_x = \_\_\_
\]
\[
s_y = \_\_\_ , \quad r = \_\_\_
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F623e2689-743b-4fcc-b895-9164ac0fd9cd%2F86854dc8-fa4f-4127-b6c4-36f7ee650e6d%2Flrqvn0c_processed.gif&w=3840&q=75)
Transcribed Image Text:**Exercise 13-2 (LO13-2)**
The following sample observations were randomly selected.
| x | 5 | 6 | 3 | 9 | 4 | 6 | 3 |
|---|---|---|---|---|---|---|---|
| y | 13 | 15 | 12 | 9 | 11 | 16 | 8 |
\[ \text{Click here for the Excel Data File} \]
Determine the coefficient of correlation and the coefficient of determination. Interpret the association between \( x \) and \( y \). (Round your coefficient of determination to 4 decimal places. Round all other answers to 2 decimal places. Negative values should be indicated by a minus sign.)
\[
\begin{array}{cccccccc}
x & y & \overline{x} & \overline{y} & (x - \overline{x}) & (y - \overline{y}) & (x - \overline{x})^2 & (x - \overline{x})(y - \overline{y}) \\
5 & 13 & & 2.38 & 0.02 & 5.64 & 0.30 \\
3 & 15 & & 4.38 & 3.52 & 19.14 & \\
6 & 7 & -1.13 & & 13.14 & -4.08 & \\
3 & 12 & -1.88 & & 3.52 & 1.89 & \\
4 & 11 & -0.88 & & 2.38 & 5.64 & -2.08 \\
9 & 9 & 4.13 & & 0.38 & 0.14 & -0.33 \\
6 & 1 & 1.13 & & -1.63 & 1.27 & \\
3 & 9 & -1.88 & 5.63 & 9.77 & -17.58 \\
39 & 85 \\
\end{array}
\]
\[
\overline{x} = \_\_\_ , \quad \overline{y} = \_\_\_ , \quad s_x = \_\_\_
\]
\[
s_y = \_\_\_ , \quad r = \_\_\_
\
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