Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates ​(10​,1​) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of​ values?   Click here to view a table of critical values for the correlation coefficient. LOADING...       010010xy         A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points (1, 10), (2, 10), (3, 10), (1, 9), (2, 9), (3, 9), (1, 8), (2, 8), and (3, 8) forming a square and the tenth point (10, 1) below and to the right of it.       a. Do the data points appear to have a strong linear​ correlation?     Yes   No b. What is the value of the correlation coefficient for all 10 data​ points?   r=enter your response here ​(Simplify your answer. Round to three decimal places as​ needed.) Is there a linear correlation between x and​ y? Use α ​= 0.05.     A. No​, because the correlation coefficient is in the critical region.   B. Yes​, because the correlation coefficient is in the critical region.   C. No​, because the correlation coefficient is not in the critical region.   D. Yes​, because the correlation coefficient is not in the critical region. c. What is the correlation coefficient when the point ​(10​,1​) is​ excluded?   r=enter your response here ​(Round to three decimal places as​ needed.) Is there a linear correlation between x and​ y? Use α ​= 0.05.     A. No​, because the correlation coefficient is in the critical region.   B. Yes​, because the correlation coefficient is not in the critical region.   C. No​, because the correlation coefficient is not in the critical region.   D. Yes​, because the correlation coefficient is in the critical region. d. What do you conclude about the possible effect from a single pair of​ values?     A single pair of values does not change the conclusion.   The effect from a single pair of values can change the conclusion.

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Author:Amos Gilat
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Refer to the accompanying scatterplot. a. Examine the pattern of all
10
points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates
​(10​,1​)
and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of​ values?
 
Click here to view a table of critical values for the correlation coefficient.
LOADING...
 
 
 
010010xy
 
  •  
  •  
  •  
A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points (1, 10), (2, 10), (3, 10), (1, 9), (2, 9), (3, 9), (1, 8), (2, 8), and (3, 8) forming a square and the tenth point (10, 1) below and to the right of it.
 
 
 
a. Do the data points appear to have a strong linear​ correlation?
 
 
Yes
 
No
b. What is the value of the correlation coefficient for all
10
data​ points?
 
r=enter your response here
​(Simplify your answer. Round to three decimal places as​ needed.)
Is there a linear correlation between x and​ y? Use
α
​=
0.05.
 
 
A.
No​,
because the correlation coefficient is
in
the critical region.
 
B.
Yes​,
because the correlation coefficient is
in
the critical region.
 
C.
No​,
because the correlation coefficient is
not in
the critical region.
 
D.
Yes​,
because the correlation coefficient is
not in
the critical region.
c. What is the correlation coefficient when the point
​(10​,1​)
is​ excluded?
 
r=enter your response here
​(Round to three decimal places as​ needed.)
Is there a linear correlation between x and​ y? Use
α
​=
0.05.
 
 
A.
No​,
because the correlation coefficient is
in
the critical region.
 
B.
Yes​,
because the correlation coefficient is
not in
the critical region.
 
C.
No​,
because the correlation coefficient is
not in
the critical region.
 
D.
Yes​,
because the correlation coefficient is
in
the critical region.
d. What do you conclude about the possible effect from a single pair of​ values?
 
 
A single pair of values does not change the conclusion.
 
The effect from a single pair of values can change the conclusion.
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