Question
In: Statistics and Probability
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data with y as the response variable.
| x | y |
|---|---|
| 58.6 | 56.3 |
| 66.3 | 72.1 |
| 54.8 | 119.2 |
| 57.4 | 83.2 |
| 62.8 | 74.3 |
| 77.6 | 72.2 |
| 71.8 | 62.2 |
| 46.4 | 77.2 |
| 77.4 | 86.6 |
| 60.5 | 78.4 |
| 66.4 | 131.3 |
| 76.4 | 113.5 |
| 68.5 | 84.2 |
| 81.5 | 102 |
| 77.5 | 136.3 |
| 49 | 12.2 |
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 82.3 on the
response variable.
What is the predicted explanatory value?
x =
(Report answer accurate to one decimal place.)
Solutions
Expert Solution
Correlation is coming out to be not significant so we can't use the regression line to predict response variable from the explanatory variable.
orchestra answered 11 months agoRelated Solutions
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
15.5
58.8
25.4
62.9
53.7
68.8
46.5
78.6
28.5
57.5
5.7
68.1
-0.4
67.8
43.8
87.7
23.1
64.9
31.3
81.3
48.2
80.1
15.9
71.1
1) Find the correlation coefficient and report it accurate to
three decimal places.
r =
2) What proportion of the variation in y can be
explained by the variation in the values of x? Report
answer as...
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
81
81.3
92.6
90.8
80.1
94.9
77.8
53.4
89.4
102.9
70.3
38.2
90.2
98
81.4
94.6
94.9
122.4
77.2
42.1
70.6
47.8
71
50.6
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...
Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
73
16.1
80
14.9
72.5
8.5
55.8
33.6
54.6
23.4
76.6
26.2
74.6
19.1
40.2
40.6
58.7
25.8
Find the correlation coefficient and report it accurate to three
decimal places.
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...
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
with y as the response variable. x y 26.1 54.3 28.4 42.5 33.8 50.2
63.4 63.3 64.3 79.4 72.5 76.1 46.2 57.4 70.2 82.1 50.5 64.3 55.4
58.8 40.7 48.5 69.4 57.5 40.4 47.8 45.1 60 64 72.5 50.6 56.9 44.2
65.6 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...
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
with y as the response variable. x y 37.2 26.9 66.2 41.4 80.9 37.6
83.7 45 55 31.2 46.3 29.1 82 44.1 71.6 36.1 54.7 29.3 56.4 33.8
Predict what value (on average) for the response variable will be
obtained from a value of 45.1 as the explanatory variable. Use a
significance level of α = 0.05 to assess the strength of the linear
correlation. What is the predicted...
Run a regression analysis on the following bivariate set of data with y as the response...
Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
62.4
39.2
62.2
40.4
47.7
68.9
120.5
-36.5
49
37.9
69.1
-9.4
53.2
71.8
66
13.8
87
8.4
92.3
-1.6
70.3
17.8
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 67.7
on the response variable.
What is the predicted...
a) Run a regression analysis on the following bivariate set of data with y as the...
a) Run a regression analysis on the following bivariate set of
data with y as the response variable.
x
y
10.7
81.6
13.7
81.5
36.7
56.5
4
72.1
50.7
23.2
47.6
-4.8
37.3
31.9
24.3
75.2
21.5
59.3
17.2
54.6
23.6
75.5
22.2
60.8
29.3
51
14
63.4
0.2
102.7
30.7
48.2
10.3
74.8
26.5
48.2
23.1
87
Verify that the correlation is significant at an ?=0.05?=0.05.
If the correlation is indeed significant, predict what value (on
average) for the...
8. Run a regression analysis on the following bivariate set of data with y as the...
8. Run a regression analysis on the following bivariate set of
data with y as the response variable.
x
y
27.2
68.2
28.1
66.7
28.7
64.6
30.2
66.4
33.7
69.5
31.8
68.3
30.4
67.8
28.6
65.5
32.5
69.4
34.8
67.9
33.3
67.1
28
66.1
- 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...
Using your calculator, run a regression analysis on the following bivariate set of data with y...
Using your calculator, run a regression analysis on the
following bivariate set of data with y as the response
variable.
x y
71.2 23.1
90.8 122.9
88.8 82.9
57.7 18.3
71.4 8.6
60.4 25.9
60.2 -43.1
88.5 77.4
68.2 -5.9
41.1 -83
61.4 -2.5
87.1 39.4
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...
You run a regression analysis on a bivariate set of data (n=99). You obtain the regression...
You run a regression analysis on a bivariate set of data (n=99).
You obtain the regression equation
y=0.843x+6.762
with a correlation coefficient of r=0.954 which is significant
at α=0.01 You want to predict what value (on average) for the
explanatory variable will give you a value of 150 on the response
variable.
What is the predicted explanatory value?
x =
(Report answer accurate to one decimal place.)
Here is a bivariate data set. Find the regression equation for
the response...
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