Question
In: Statistics and Probability
Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) x...
Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
| x | y |
|---|---|
| 2 | 1.6 |
| 3 | 2.67 |
| 4 | 3.84 |
| 5 | 3.71 |
| 6 | 0.48 |
| 7 | 1.75 |
| 8 | 3.42 |
| 9 | 0.89 |
| 10 | 1.96 |
| 11 | 3.13 |
| 12 | 0.1 |
Solutions
Expert Solution
Solution:
| X | Y | XY | X^2 | Y^2 |
| 2 | 1.6 | 3.2 | 4 | 2.56 |
| 3 | 2.67 | 8.01 | 9 | 7.1289 |
| 4 | 3.84 | 15.36 | 16 | 14.7456 |
| 5 | 3.71 | 18.55 | 25 | 13.7641 |
| 6 | 0.48 | 2.88 | 36 | 0.2304 |
| 7 | 1.75 | 12.25 | 49 | 3.0625 |
| 8 | 3.42 | 27.36 | 64 | 11.6964 |
| 9 | 0.89 | 8.01 | 81 | 0.7921 |
| 10 | 1.96 | 19.6 | 100 | 3.8416 |
| 11 | 3.13 | 34.43 | 121 | 9.7969 |
| 12 | 0.1 | 1.2 | 144 | 0.01 |
| n | 11 |
| sum(XY) | 150.85 |
| sum(X) | 77.00 |
| sum(Y) | 23.55 |
| sum(X^2) | 649.00 |
| sum(Y^2) | 67.63 |
| Numerator | -154.00 |
| Denominator | 478.61 |
| r | -0.3218 |
| r square | 0.1035 |
| Xbar(mean) | 7.0000 |
| Ybar(mean) | 2.1409 |
| SD(X) | 1.7078 |
| SD(Y) | 1.1966 |
| b | -0.1273 |
| a | 3.0318 |
r = -0.322
orchestra answered 2 years agoRelated Solutions
Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y...
Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x
y
1
7.58
2
7.32
3
9.06
4
8.1
5
5.84
6
6.58
7
8.32
8
4.46
9
5.9
10
7.44
11
3.48
12
4.02
13
3.16
14
2.3
Find the correlation coefficient and report it accurate to three decimal places.
Here is a bivariate data set.
x
y
77.2
35
84
32.8
68.1
34.9
81
27.8
91.3
25.6
79.9
30.1
80.9
30
90.3
27.1
69.3
29.3
73.3
34.3
86
31
Find the correlation coefficient and report it accurate to three
decimal places.
r =
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
1
9.94
2
10.38
3
9.92
4
14.46
5
14.6
6
12.24
7
14.58
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = _____ x + _______
x
y
4
33.1
5
32.2
6
29.4
7
26.7
8
25.2
9
24.8
10
22.2
11
19.4
12
17.8
13
16.4
14
13.1
15
11.3
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = _____ x + _______
x
y
4
33.1
5
32.2
6
29.4
7
26.7
8
25.2
9
24.8
10
22.2
11
19.4
12
17.8
13
16.4
14
13.1
15
11.3
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y =_____ x + ____
x
y
4
33.1
5
32.2
6
29.4
7
26.7
8
25.2
9
24.8
10
22.2
11
19.4
12
17.8
13
16.4
14
13.1
15
11.3
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
2
39.27
3
37.18
4
31.79
5
30.1
6
27.41
7
25.82
8
24.23
9
19.04
10
17.15
11
16.36
12
15.17
13
10.78
14
7.69
15
4.2
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
1
27.54
2
27.73
3
23.42
4
23.21
5
22.4
6
21.29
7
19.18
8
18.37
9
16.66
10
15.45
11
14.34
12
10.83
13
11.52
14
9.21
15
5.5
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
4
13.72
5
18.65
6
17.38
7
17.41
8
20.44
9
21.97
10
21.5
11
20.63
12
25.16
13
22.29
14
24.82
15
24.65
From the table below, calculate the correlation coefficient and the coefficient of determination. Inflation rate (x)...
From the table below, calculate the correlation coefficient and
the coefficient of determination.
Inflation rate (x)
Prime lending rate (y)
3.2
5.2
6.2
8.0
11.0
10.8
9.1
7.9
5.8
6.8
6.5
6.9
7.6
9.0
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