Question

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 =

Answer #1

Solution:

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

1 | 10 | 10 | 1 | 100 |

10 | 4 | 40 | 100 | 16 |

9 | 4 | 36 | 81 | 16 |

8 | 5 | 40 | 64 | 25 |

4 | 7 | 28 | 16 | 49 |

3 | 7 | 21 | 9 | 49 |

2 | 9 | 18 | 4 | 81 |

n | 7 |

sum(XY) | 193.00 |

sum(X) | 37.00 |

sum(Y) | 46.00 |

sum(X^2) | 275.00 |

sum(Y^2) | 336.00 |

Numerator | -351.00 |

Denominator | 362.24 |

r | -0.9690 |

r square | 0.9389 |

Xbar(mean) | 5.2857 |

Ybar(mean) | 6.5714 |

SD(X) | 3.3375 |

SD(Y) | 2.1148 |

b | -0.6313 |

a | 9.9083 |

r = **-0.969**

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 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 =

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

Calculate the Pearson Product-Moment Correlation Coefficient, r,
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.

Determine the value of the coefficient of correlation,
r, for the following data.
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

Questions 6 to 10 are
based on the problem below:
Compute the Pearson
Correlation Coefficient, r, for the following data
X
Y
2
3
3
1
6
5
4
4
5
2
The Pearson
Correlation, r is

Calculate the linear correlation coefficient for the data below.
Round to three decimal places. x -9 -7 0 -3 -5 -6 -4 -2
-1 y 2 -3 -15 -10 -6 -8 -13 -14-

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