Question

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)

x | y |
---|---|

1 | 8.32 |

2 | 12.24 |

3 | 11.46 |

4 | 15.78 |

5 | 20.2 |

6 | 20.42 |

7 | 23.94 |

8 | 27.96 |

9 | 27.48 |

10 | 31.5 |

11 | 33.82 |

12 | 38.24 |

Answer #1

Solution:

X | Y | XY | X^2 | Y^2 |

1 | 8.32 | 8.32 | 1 | 69.2224 |

2 | 12.24 | 24.48 | 4 | 149.8176 |

3 | 11.46 | 34.38 | 9 | 131.3316 |

4 | 15.78 | 63.12 | 16 | 249.0084 |

5 | 20.2 | 101 | 25 | 408.04 |

6 | 20.42 | 122.52 | 36 | 416.9764 |

7 | 23.94 | 167.58 | 49 | 573.1236 |

8 | 27.96 | 223.68 | 64 | 781.7616 |

9 | 27.48 | 247.32 | 81 | 755.1504 |

10 | 31.5 | 315 | 100 | 992.25 |

11 | 33.82 | 372.02 | 121 | 1143.7924 |

12 | 38.24 | 458.88 | 144 | 1462.2976 |

n | 12 |

sum(XY) | 2138.30 |

sum(X) | 78.00 |

sum(Y) | 271.36 |

sum(X^2) | 650.00 |

sum(Y^2) | 7132.77 |

Numerator | 4493.52 |

Denominator | 4529.71 |

r | 0.9920 |

r square | 0.9841 |

Xbar(mean) | 6.5000 |

Ybar(mean) | 22.6133 |

SD(X) | 1.7078 |

SD(Y) | 4.4978 |

b | 2.6186 |

a | 5.5924 |

r = **0.992**

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
x
y
5
17.78
6
18.86
7
16.44
8
17.32
9
18.4
10
17.08
11
16.26
12
16.94
13
16.92
14
14

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
x
y
5
10.7
6
11.76
7
9.72
8
10.78
9
13.94
10
13.3
11
13.06
12
15.12
13
16.68
14
14.84
15
15.1
16
17.96

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
x
y
5
21.15
6
24.16
7
26.07
8
26.18
9
29.09
10
31

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
x
y
4
18.2
5
18.05
6
14.8
7
12.65
8
8.7
9
4.65
10
2.7
Submit Question

Based on the data shown below, calculate the correlation
coefficient (rounded to three decimal places)
x
y
2
22.88
3
24.07
4
20.06
5
19.35
6
20.14
7
18.63
8
19.02
9
15.81
10
17.5

Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
x
y
4
44.7
5
45.55
6
41.3
7
38.35
8
37.9
9
34.55
10
31.8
11
28.95
12
28.6
13
23.25
14
23.1
15
19.15
16
17.9

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

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

Based on the data shown below, calculate the correlation
coefficient (to three decimal places)
independent
dependent
4
29.52
5
27.39
6
25.26
7
24.33
8
23.2
9
19.27
10
18.44
11
15.01
12
16.38
13
12.75
14
11.52
15
7.39
16
5.76
17
7.03
18
5

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