The following sample observations were randomly selected. 5 3 6 3 4 4 y 13 15 7 12 13 11 9 A 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 amounts should be indicated by a minus sign.)

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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The following sample observations were randomly selected.

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 amounts should be indicated by a minus sign.)

 

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The following sample observations were randomly selected.
3
6.
3
4
4
6.
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 amounts should be
indicated by a minus sign.)
y - y
(y – y)²
(x – 1) (y – 9)
13
2.38
0.02
5.64
0.30
3
3 15
4.38
3.52
19.14
6.
7
1.13
1.27
13.14
-4.08
3
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
6
9.
1.13
-1.63
1.27
8
3.13
-5.63
9.77
-17.58
39
85
Total
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.
Transcribed Image Text:The following sample observations were randomly selected. 3 6. 3 4 4 6. 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 amounts should be indicated by a minus sign.) y - y (y – y)² (x – 1) (y – 9) 13 2.38 0.02 5.64 0.30 3 3 15 4.38 3.52 19.14 6. 7 1.13 1.27 13.14 -4.08 3 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 6 9. 1.13 -1.63 1.27 8 3.13 -5.63 9.77 -17.58 39 85 Total 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.
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