Question
In: Statistics and Probability
For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
|
x |
2 |
6 |
1 |
7 |
9 |
|
|---|---|---|---|---|---|---|
|
y |
8 |
2 |
6 |
9 |
5 |
Critical Values for Correlation Coefficient
|
n |
|
|---|---|
|
3 |
0.997 |
|
4 |
0.950 |
|
5 |
0.878 |
|
6 |
0.811 |
|
7 |
0.754 |
|
8 |
0.707 |
|
9 |
0.666 |
|
10 |
0.632 |
|
11 |
0.602 |
|
12 |
0.576 |
|
13 |
0.553 |
|
14 |
0.532 |
|
15 |
0.514 |
|
16 |
0.497 |
|
17 |
0.482 |
|
18 |
0.468 |
|
19 |
0.456 |
|
20 |
0.444 |
|
21 |
0.433 |
|
22 |
0.423 |
|
23 |
0.413 |
|
24 |
0.404 |
|
25 |
0.396 |
|
26 |
0.388 |
|
27 |
0.381 |
|
28 |
0.374 |
|
29 |
0.367 |
|
30 |
0.361 |
(b) Compute the correlation coefficient.
The correlation coefficient is
r=__?__.
(Round to three decimal places as needed.)
Solutions
Expert Solution
a). for doing the scatterplot i am using minitab. steps for doing scatterplot:-
copy the data in two column of minitab worksheet and name them
"x" and "y" 
GRAPH
SCATTERPLOT
double click
in SIMPLE "IN Y
VARIABLES" select y and " IN X VARIABLES" select x OK.
***If you have any doubt regarding the problem please write it in the comment section.if you are satisfied please give a LIKE if possible.
orchestra answered 1 year agoRelated Solutions
For the accompanying data set, (a) draw a scatter diagram of the data, (b) compute the...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) compute the correlation coefficient, and (c)
determine whether there is a linear relation between x and y.
Data set
x
7
6
6
7
9
y
3
2
6
9
5
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456
20
0.444
21
0.433
22
0.423
23
0.413
24
0.404
25
0.396...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
x 2 4 6 6 7
y 4 8 11 13 18
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456...
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,complete...
For the accompanying data set, (a) draw a scatter diagram of the
data, (b) by hand,complete the correlation coefficient, and (c)
determine whether there is a linear relation between x and y.
x
2
4
6
6
7
y
4
8
12
12
20
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482...
For the following data set: a) draw a scatter diagram, b) develop the estimation equation that...
For the following data set:
a) draw a scatter diagram,
b) develop the estimation equation that best describes the
data,
c) predict Y for X = 10, 15, 20.
X 13 ,16 ,14 ,11 ,17 ,9 ,13 ,17 ,18, 12
Y 6.2 ,8.6 ,7.2 ,4.5 ,9.0 ,3.5 ,6.5 ,9.3 ,9.5, 5.7
Using the data given below,
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A data set is given a) (a) Draw a scatter diagram. Comment on the type of...
A data set is given
a)
(a) Draw a scatter diagram. Comment on the type of relation that
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(b) Given that
x overbarxequals=3.83333.8333,
s Subscript xsxequals=2.40142.4014,
y overbaryequals=3.98333.9833,
s Subscript ysyequals=1.74521.7452,
and
requals=negative 0.9457−0.9457,
determine the least-squares regression line.
(c) Graph the least-squares regression line on the scatter
diagram drawn in part (a).
x
0
2
4
5
6
6
y
6.0
5.8
4.7
3.0
2.1
2.3
A data set is given below. (a) Draw a scatter diagram. Comment on the type of...
A data set is given below. (a) Draw a scatter diagram. Comment
on the type of relation that appears to exist between x and y. (b)
Given that x̅ = 3.8333, Sx = 2.4014 , ȳ equals = 3.7333 3., Sy =
1.8381, and r = -0.9545 , determine the least-squares regression
line.
(c) Graph the least-squares regression line on the scatter
diagram drawn in part
x y
0 5.9
2 5.7
4 4.3
5 2.8
6 1.7
6 2...
A data set is given below. (a) Draw a scatter diagram. Comment on the type of...
A data set is given below. (a) Draw a scatter diagram. Comment
on the type of relation that appears to exist between x and y. (b)
Given that x̅ = 3.6667, sx = 2.0656, ŷ = 4.2000, sy = 1.4805, and
r = −0.9287, determine the least-squares regression line. (c)
Graph the least-squares regression line on the scatter diagram
drawn in part (a).
x y
1 5.2
2 5.8
3 5.4
4 3.8
6 2.4
6 2.6
(a) Choose the...
From the following data set, create a scatter diagram and choose a time series analysis method...
From the following data set, create a scatter diagram and choose a
time series analysis method and use it to adjust them and forecast
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you choose the parameters you need
Month 1 2 3 4 5 6 7 8 9 10 11 12 13
Sales 210 190 240 250 200 170 190 235 160 185 260 145
(a) Construct a scatter diagram of the given bivariate data
Consider the following bivariate data.
Point
A
B
C
D
E
F
G
H
I
J
x
0
1
1
2
3
4
5
6
6
7
y
5
5
6
5
6
3
2
0
1
1
(a) Construct a scatter diagram of the given bivariate data. (Do
this on paper. Your instructor may ask you to turn in this
work.)
(b) Calculate the covariance. (Give your answer correct to two
decimal places.)
(c) Calculate sx and sy.
(Give...
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