Question
In: Statistics and Probability
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 |
|
26 |
0.388 |
|
27 |
0.381 |
|
28 |
0.374 |
|
29 |
0.367 |
|
30 |
0.361 |
|
n |
(b) By hand, compute the correlation coefficient.
The correlation coefficient is r= ____. (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
Because the correlation coefficient is (positive,negative) and the absolute value of the correlation coefficient, _____, is (greater,not greater) than the critical value for this data set,_____,(a negative,a positive, no) linear relation exists between x and y. (Round to three decimal places as needed.)
Solutions
orchestra answered 3 years agoRelated Solutions
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 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...
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 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,
a) draw the scatterplot,
b) develop the estimation equation that best describes the
data,
c) predict Y for X = 5, 6, 7.
X...
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
appears to exist between x and y.
(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...
a)By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable
x
4
5
6
8
9
y
6
8
11
14
16
a)By hand, draw a scatter diagram treating x as the explanatory
variable and y as the response variable
b)Find the equation of the line containing the points (44,66)
and (9,16).
c)Graph the line found in part (b) on the scatter diagram.
d)By hand, determine the least-squares regression line.
e)Graph the least-squares regression line on the scatter
diagram.
f)Compute the sum of the squared residuals for the line found...
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
for month 13, justify because you chose the method you have chosen,
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
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