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 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 =

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

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 =

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

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

The following sample observations were randomly selected.
x
5
3
6
3
4
4
6
8
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 amounts should be indicated by a minus sign.)
x
y
x−x¯x-x¯
y−y¯y-y¯
(x−x¯)2x-x¯2...

Use a scatterplot and the linear correlation coefficient r to
determine whether there is a correlation between the two variables.
Use alphaequals0.05. x 2 4 7 1 6 y 5 8 12 3 11 Click here to view a
table of critical values for the correlation coefficient.
LOADING... Does the given scatterplot suggest that there is a
linear correlation? A. Yes, because the data does not follow a
straight line. B. No, because the data follows a straight line. C....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 7 minutes ago

asked 18 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 22 minutes ago

asked 33 minutes ago

asked 33 minutes ago

asked 41 minutes ago

asked 44 minutes ago

asked 48 minutes ago

asked 52 minutes ago