Question

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.

*r*² = %

2. Run a regression analysis on the following bivariate set of
data with *y* as the response variable.

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

3.8 | 74.8 |

54.7 | 49.8 |

26.5 | 64.7 |

-7.8 | 86.8 |

22.6 | 56.6 |

60.7 | 36.1 |

39.3 | 54.3 |

-3.4 | 91.2 |

30.4 | 58.8 |

50.2 | 55.2 |

32 | 52.9 |

Verify that the correlation is significant at an α=0.05. If the
correlation is indeed significant, predict what value (on average)
for the explanatory variable will give you a value of 43.3 on the
response variable.

What is the predicted explanatory value?

*x* =

(Report answer accurate to one decimal place.)

Answer #1

1.

**r = 0.644**

**r ^{2} = 0.415**

**= 41.5 %**

1. Here is a bivariate data set.
x
y
83.7
47.7
73.3
55.5
68.5
42.3
59
43.5
67
41.8
61.6
40.8
64.3
39.2
99.7
71.7
60.8
34.7
69.8
44
86
59.4
47.3
30.8
37.6
20.8
58.6
37.4
57.3
41.1
Find the correlation coefficient and report it accurate to three
decimal places.
r =
2.Run a regression analysis on the following bivariate set of
data with y as the response variable.
x
y
3.8
74.8
54.7
49.8
26.5
64.7
-7.8
86.8...

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
49.4
28
38.2
62.8
56.6
120.2
77.9
122.1
58.3
104.8
75.6
117.4
45.7
24
59.5
4.7
31.1
34.4
46.7
73
70.9
107.7
82.2
202.6
52.5
140.7
46.2
87.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =

Here is a bivariate data set.
x
y
38.3
58.8
38.7
59.5
51.1
39.4
43.8
54
51.2
46.1
45.8
54.9
38.3
55.2
31.7
59.7
35.5
52.3
19.1
70.8
31.9
63.8
50.1
51.7
52.1
48.9
Find the correlation coefficient and report it accurate to three
decimal places.
r = _____

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.
r² = %

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...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
48
41.8
39.2
67.4
34.7
68.4
42.9
50.2
49
50.6
45.6
57
58.7
29.7
40.5
68.4
47.4
34.7
45.7
50.9
38.9
47.7
40.9
53.6
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...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
81.1
86
77.5
60.4
92.7
126.5
104
132.5
85
53.1
64.3
95.5
64.6
31.7
39.7
5.7
82.3
121.3
82.4
98.2
29.2
-50.2
34.2
-1
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...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
28.8
90.1
30.6
139.6
12.6
42.2
18.1
94.8
13.9
28.5
31.9
102.4
-3.9
-13.4
16.7
57.1
11
55.8
16.8
76.3
31.7
80.1
43.5
123.8
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...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
51.3
17.4
60.8
88.6
37.4
32.9
44.6
53.4
53.7
53.6
52.2
41.5
32.7
28.6
62.4
84.7
47.4
35.7
39.8
33.7
62.1
123
62
83.7
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...

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