Question

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

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

69 | 25.6 |

87.1 | 99.4 |

80.3 | 77.2 |

100.4 | 148 |

38.1 | 4.6 |

99.7 | 116.2 |

82.7 | 74.6 |

98 | 100.3 |

78.5 | 65.9 |

93.4 | 117.5 |

82.7 | 106.4 |

85 | 52.3 |

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. (If the answer is
0.84471, then it would be 84.5%...you would enter 84.5 without the
percent symbol.)

*r*² = %

Answer #1

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

*r* = 0.879

R^{2} population of proportion is
**77.3**

Use (="CORREL(array1,array2) formula to get correlation value

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
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
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
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...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
16.1
47.3
10.6
42.8
22.4
50.6
33.3
67.6
47.8
61.1
41.4
62.1
30.2
57.9
30.6
53.6
33
57.4
9.7
41.2
19.3
49.6
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 54 on the
response variable.
What is the predicted...

Here is a bivariate data set. Find the regression equation for
the response variable y.
x
y
40.5
-14.4
30.8
-26.7
38.8
-28
57.2
8.3
48.2
68
70
63.1
70.5
28.8
87.1
123.5
43.1
12.7
regression equation:
Enter the equation in slope-intercept form with parameters accurate
to three decimal places.

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
74.1
53.3
81.3
65.5
64.4
79
102.4
35.8
73
59.4
45.4
110.1
66.4
84.9
73.8
70
52
97.5
70.2
86.9
91.1
43.3
Predict what value (on average) for the response variable will
be obtained from a value of 62.2 as the explanatory variable. Use a
significance level of α=0.05α=0.05 to assess the strength of the
linear correlation.
What is the predicted...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=82.7Ho:μ=82.7
Ha:μ>82.7Ha:μ>82.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
Column A
Column B
Column C
Column D
Column E
75.1
93.4
101
69.5
74.1
114.1
106.4
78.9
116.3
87.3
92.5
80.6
59.6
70.8
79.8
94.4
90.3
78
102.4
105.5
95.9
77.1
108.4
75.6
74.6
112.4
58.1
90.3
70.8
112.4
100.4
101.7...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
107.8
-31.6
73.5
10.7
102
-13.1
44.7
66.8
89.7
2.9
72.7
46.1
76.4
6.7
76.1
22.6
92.2
-0.7
85.4
11.7
98
-8.2
89.8
1.9
66.2
77.1
80.6
21.3
43.4
92.9
Verify that the correlation is significant at an α=0.05α=0.05.
If the correlation is indeed significant, predict what value (on
average) for the explanatory variable will give you a value of -4.3...

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