Question

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 =

Answer #1

Solution:

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

1 | 8 | 8 | 1 | 64 |

10 | 4 | 40 | 100 | 16 |

9 | 6 | 54 | 81 | 36 |

7 | 5 | 35 | 49 | 25 |

5 | 7 | 35 | 25 | 49 |

3 | 7 | 21 | 9 | 49 |

2 | 8 | 16 | 4 | 64 |

n | 7 |

sum(XY) | 209.00 |

sum(X) | 37.00 |

sum(Y) | 45.00 |

sum(X^2) | 269.00 |

sum(Y^2) | 303.00 |

Numerator | -202.00 |

Denominator | 222.14 |

r | -0.9094 |

r square | 0.8269 |

Xbar(mean) | 5.2857 |

Ybar(mean) | 6.4286 |

SD(X) | 3.1842 |

SD(Y) | 1.3437 |

b | -0.3930 |

a | 8.5058 |

Correlation coefficient, r = **-0.909**

Determine the Pearson product-moment correlation coefficient for
the following data.
x 1 10 9 8 4 3 2
y 10 4 4 5 7 7 9
(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 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 =

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 8 4 3 2
y 10 4 4 5 7 7 10

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for the following data set.
x
y
59
-119
24
-35
50
-107
47
-73
41
-78
72
-117
40
-55
Round your answer to three decimal places.

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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 = ___

Compute the Pearson Correlation coefficient for the following
data (SSx= 10, and SSy= 10 )
X
Y
2
3
3
1
6
5
4
4
5
2

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x 3 5 12 9 7 6 8 10 11 4
y -3 -1 16 8 5 1 6 10 13 -1

Calculate the linear correlation coefficient for the data below.
Round to three decimal places. x -9 -7 0 -3 -5 -6 -4 -2
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