Question

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.

Answer #1

Solution:

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

59 | -119 | -7021 | 3481 | 14161 |

24 | -35 | -840 | 576 | 1225 |

50 | -107 | -5350 | 2500 | 11449 |

47 | -73 | -3431 | 2209 | 5329 |

41 | -78 | -3198 | 1681 | 6084 |

72 | -117 | -8424 | 5184 | 13689 |

40 | -55 | -2200 | 1600 | 3025 |

n | 7 |

sum(XY) | -30464.00 |

sum(X) | 333.00 |

sum(Y) | -584.00 |

sum(X^2) | 17231.00 |

sum(Y^2) | 54962.00 |

Numerator | -18776.00 |

Denominator | 20613.09 |

r | -0.9109 |

r square | 0.8297 |

Xbar(mean) | 47.5714 |

Ybar(mean) | -83.4286 |

SD(X) | 14.8483 |

SD(Y) | 29.7120 |

b | -1.9301 |

a | 8.3890 |

r = **-0.911**

Calculate the y-intercept of the least-squares regression line
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 two decimal places.

Find the slope of the equation of the least-squares regression
line 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 two decimal places.

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 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 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
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

The Pearson product-moment correlation coefficient r is
appropriate for variables, which is measured on at least which
scale? a. Interval b. Ratio c. Ordinal d. Nominal

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 correlation coefficient, r, for the data
below.
Calculate the correlation coefficient, r, for the data
below.
X= -10 -8 -1 -4 -6 -7 -5 -3 -2 -9
Y= -15 -13 4 -4 -7 -11 -6 -2 1 -13

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