Question

For each of the data sets shown below, calculate r.

(a) (b) (c)

x y x y x y

1 6 1 2 1 7

2 7 2 1 2 6

3 5 3 4 3 5

4 4 4 3 4 4

5 3 5 7 5 3

6 1 6 5 6 2

7 2 7 6 7 1

Answer #1

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

(c) Compute the sample correlation coefficient r for each of the
following data sets and show that r is the same for both. (Use 3
decimal places.) (i) x 6 5 9 y 2 1 5 (ii) x 2 1 5 y 6 5 9 r (i)
(ii)

1.)
Based on the data shown below, calculate the regression line
(each value to two decimal places)
ˆyy^ = + xx
x
y
2
7.2
3
5.85
4
9.5
5
7.35
6
7.9
7
8.85
8
8.2
2.)
Annual high temperatures in a certain location have been tracked
for several years. Let XX represent the year and YY the high
temperature. Based on the data shown below, calculate the
correlation coefficient (to three decimal places) between XX and
YY. Use your calculator!...

Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x
y
5
65.8
6
68.4
7
73.6
8
70.8
9
75.8
10
77.4
r=r=

Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x
y
3
6.76
4
6.55
5
9.54
6
6.53
7
7.52
8
5.71
9
5

(c) Compute the sample correlation coefficient r for
each of the following data sets and show that r is the
same for both. (Use 3 decimal places.)
(i)
x
5
2
9
y
1
2
5
(ii)
x
1
2
5
y
5
2
9
r
(i)
(ii)

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = _x + _
x
y
1
25.95
2
25.8
3
22.65
4
21.5
5
18.85
6
16.6
7
13.45
8
10.9
9
8.85
10
7.8

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
3
29.25
4
25.42
5
22.49
6
17.96
7
17.33
8
12.2

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
2
23.46
3
25.59
4
26.62
5
29.35
6
29.68
7
34.61
8
35.04
9
38.07
10
37.3
11
40.33
12
43.06

Compute the sample correlation coefficient r for each of the
following data sets and show that r is the same for both. (Use 3
decimal places.
(i) x 8 6 9
y 3 4 5
(ii) x 3 4 5
y 8 6 9
r
(i)=
(ii)=

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