Question
In: Statistics and Probability
Given the following sample observations, draw a scatter diagram on a separate piece of paper. X:−7,−16,13,3,16...
Given the following sample observations, draw a scatter diagram on a separate piece of paper.
X:−7,−16,13,3,16
Y:54,24,11,57,1,342
-
Compute the correlation coefficient. (Round your answer to 3 decimal places.)
-
Does the relationship between the variables appear to be linear?
-
Try squaring the x variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)
Solutions
Expert Solution
Compute the correlation coefficient. (Round your answer to 3 decimal places.)
Use Formula "=CORREL(Array 1, Array 2)" in excel
correlation coefficient r = 0.249
2. Does the relationship between the variables appear to be linear?
Yes there is a weak positive linear relationship between x and y variable
3. Try squaring the x variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)
After squaring the x variable, correlation coefficent r = 0.960
It is a strong positive linear relationship between the variables
orchestra answered 2 years agoRelated Solutions
Given the following sample observations, draw a scatter diagram on a separate piece of paper. X:...
Given the following sample observations, draw a scatter
diagram on a separate piece of paper.
X:
−9
−14
13
1
16
Y:
51
243
159
4
338
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Try squaring the x variable and then determine
the correlation coefficient. (Round your answer to 3 decimal
places.)
Given the following sample observations, draw a scatter diagram on a separate piece of paper. X:...
Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−7
−16
13
3
16
Y:
54
241
157
1
342
Click here for the Excel Data File
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)
Given the following sample observations, draw a scatter diagram on a separate piece of paper. X:...
Given the following sample observations, draw a scatter diagram
on a separate piece of paper.
X:
−7
−16
11
1
16
Y:
50
248
155
3
343
Compute the correlation coefficient. (Round your answer
to 3 decimal places.)
Coefficient of correlation ________
Does the relationship between the variables appear to be
linear?
Yes
No
Try squaring the x variable and then determine the
correlation coefficient. (Round your answer to 3 decimal
places.)
Coefficient of correlation ______
Given the following sample observations, draw a scatter diagram on a separate piece of paper. (Round...
Given the following sample observations, draw a scatter diagram
on a separate piece of paper. (Round your answers to 3
decimal places.)
X:
-8
-16
13
3
16
Y:
60
249
159
2
339
The coefficient of correlation is .
Does the relationship between the variables appear to be
linear? (Click to
select) Yes No
Try squaring the X- variable and then determine the
correlation coefficient. .
Given the following sample observations, draw a scatter diagram on a separate piece of paper. (Round...
Given the following sample observations, draw a scatter diagram
on a separate piece of paper. (Round your answers to 3
decimal places.)
X:
-8
-16
13
3
17
Y:
53
249
153
2
343
The coefficient of correlation is .
Does the relationship between the variables appear to be linear?
(Click to select)YesNo
Try squaring the X- variable and then determine the
correlation coefficient. ._________
Given the following sample observations, draw a scatter diagram on a separate piece of paper. (Round...
Given the following sample observations, draw a scatter diagram
on a separate piece of paper. (Round your answers to 3 decimal
places.) X: -6 -17 12 3 17 Y: 52 248 151 4 341
The coefficient of correlation is .
Does the relationship between the variables appear to be
linear?
Try squaring the X- variable and then determine the correlation
coefficient. .
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...
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