Question

Determine the value of the coefficient of correlation, r, for the following data.

X 4 6 7 11
15 17 21

Y 18 13 13 8 7 7 6

(Round the intermediate values to 3 decimal places. Round your answers to 3 decimal places.)

r = ___

Answer #1

= X /n = 81 / 7 = 11.571

= Y / n = 72 / 7 = 10.286

X^{2}
= 1177 ,
Y^{2} = 860,
X Y = 679

Sxx =
X^{2} - n
^{2} = 1177 - 7 * 11.571^{2} = 239.784

Syy =
Y^{2} - n
^{2} = 860 - 7 * 10.286^{2} = 119.387

Sxy = X Y - n = 679 - 7 * 11.571 * 10.286 = -154.135

r = Sxy . sqrt ( Sxx * Syy)

= -154.135 / sqrt [ 239.784 * 119.387 ]

= **-0.911**

Determine the Pearson product-moment correlation coefficient for
the following data.
x 1 11 9 6 4 3 2
y 10 4 5 5 7 7 8
(Do not round the intermediate values. Round your answer to 3
decimal places.)
Correlation coefficient, r =

Determine the Pearson product-moment correlation coefficient for
the following data.
x
1
11
9
6
4
3
2
y
10
4
6
5
7
7
10
(Do not round the intermediate values. Round your
answer to 3 decimal places.)
Correlation coefficient, r =

Determine the Pearson product-moment correlation coefficient for
the following data.
x 1 10 9 8 4 3 2
y 10 4 4 5 7 7 9
(Do not round the intermediate values. Round your answer to 3
decimal places.)
Correlation coefficient, r =

Determine the Pearson product-moment correlation coefficient for
the following data.
x 1 10 9 7 5 3 2
y 8 4 6 5 7 7 8
(Do not round the intermediate values. Round your answer to 3
decimal places.)
Correlation coefficient, r =

Determine the Pearson product-moment correlation coefficient for
the following data.
x 1 11 9 8 5 3 2
y 9 4 5 5 7 7 10
(Do not round the intermediate values. Round your
answer to 3 decimal places.)
Correlation coefficient, r =

Calculate the correlation coefficient, r, for the data
below.
Calculate the correlation coefficient, r, for the data
below.
X= -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y= -15 -13 4 -4 -7 -11 -6 -2 1 -13

For the following data, find the value of “r”
the correlation coefficient, as well as the values
of “a” and “b” the y intercept and slope
, respectively, of the regression line. Please graph the
line as well.
x
y
1
5
2
8
4
11
6
15

Calculate the correlation coefficient, r, for the data
below.
x 3 5 12 9 7 6 8 10 11 4
y -3 -1 16 8 5 1 6 10 13 -1

find coefficient correlation r ?
x
y
1
2.0
3
23.33
2
65.33
4
12.65
5
50
6
60
7
16
8
32.6
10
87.9
9
99.8
21
54.7
11
21.9
13
55.7
14
21.6
15
67.7
16
76.8
17
12.8
18
52.7
18
12.8
16
27.9
15
87.8
80
22.3
54
54.7
54
12.65
21
76.7
42
121
65
65
22
364.66
21
725.7

Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x
y
4
30.64
5
33.35
6
33.86
7
38.37
8
39.28
9
43.69
10
44.3
11
48.21
12
50.62
13
51.73
14
55.24
15
56.35
16
59.56
17
61.87
18
66.98

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