Question

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 |

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Answer #1

Solution:

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

4 | 18.2 | 72.8 | 16 | 331.24 |

5 | 18.05 | 90.25 | 25 | 325.8025 |

6 | 14.8 | 88.8 | 36 | 219.04 |

7 | 12.65 | 88.55 | 49 | 160.0225 |

8 | 8.7 | 69.6 | 64 | 75.69 |

9 | 4.65 | 41.85 | 81 | 21.6225 |

10 | 2.7 | 27 | 100 | 7.29 |

n | 7 |

sum(XY) | 478.85 |

sum(X) | 49.00 |

sum(Y) | 79.75 |

sum(X^2) | 371.00 |

sum(Y^2) | 1140.71 |

Numerator | -555.80 |

Denominator | 564.34 |

r | -0.9849 |

r square | 0.9700 |

Xbar(mean) | 7.0000 |

Ybar(mean) | 11.3929 |

SD(X) | 1.7078 |

SD(Y) | 4.8984 |

b | -2.8357 |

a | 31.2429 |

r = **-0.985**

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
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 (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
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

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 (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)
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)
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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