Question

Here is a bivariate data set.

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

39.1 | 42.5 |

17.1 | 215.1 |

28.7 | 109.5 |

55.4 | 18.5 |

19.9 | 186.9 |

9.8 | 31.2 |

62.7 | -41.6 |

61.9 | -16.5 |

58.4 | -31.2 |

63.3 | -120.1 |

67.1 | 124.8 |

Find the correlation coefficient and report it accurate to three
decimal places.

*r* =

What proportion of the variation in *y* can be explained by
the variation in the values of *x*? Report answer as a
percentage accurate to one decimal place.

*r*² = %

Answer #1

The statistical software output for this problem is :

r = -0.633

r² = 40.0%

Here is a bivariate data set.
x
y
15.9
16.9
83.4
53.9
43.8
22.2
49.4
49.3
58.4
11.8
77.4
38.8
19.6
19.5
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
2. Run a regression analysis on the following bivariate set of
data with...

Here is a bivariate data set.
x
y
2.4
103.6
-6
79.2
14.3
62.7
-3.7
159.5
12.1
107.4
27.6
43
34.9
-95.2
Find the correlation coefficient and report it accurate to three
decimal places.
r =

Here is a bivariate data set.
x
y
2.4
103.6
-6
79.2
14.3
62.7
-3.7
159.5
12.1
107.4
27.6
43
34.9
-95.2
Find the correlation coefficient and report it accurate to three
decimal places.
r =

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
31
131.5
32.7
88.1
45.9
52.1
51.8
47
65.8
30.1
58.4
36.4
84.5
-92.1
25.3
103.4
49.8
37.5
4.6
127.3
46.6
32.1
75.2
-12.4
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

1. Here is a bivariate data set.
x
y
49.7
34.8
43.9
30.9
48
30
46.3
32
46.9
30.3
46.2
34.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one decimal place.
r² = %
2. You run a regression analysis on a bivariate set of data
(n=71). With...

Here is a bivariate data set.
x | y
58.1
55.3
43.3
33.7
74.5
36.9
56.2
27.7
54.4
1
58.2
45.6
56.2
-10.2
50.9
84.1
47.7
39.3
Find the correlation coefficient and report it accurate to three
decimal places. r =

Here is a bivariate data set.
x
y
69.7
98.7
61
105.6
61.5
114.2
64.9
115.3
50.9
48.5
64.8
74
Find the correlation coefficient and report it accurate to three
decimal places.
r =

Here is a bivariate data set.
x
y
18
24
25
91
50
117
37
106
29
52
23
81
22
46
Find the correlation coefficient and report it accurate to four
decimal places.
r =

Here is a bivariate data set.
x
y
50
-36
17
129
39
58
19
91
31
84
45
22
18
80
30
92
8
175
Find the correlation coefficient and report it accurate to four
decimal places.
r =

Here is a bivariate data set.
x
y
17
85
36
-0
32
-7
37
11
56
-50
18
87
40
3
5
64
24
28
Find the correlation coefficient and report it accurate to four
decimal places.
r =

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