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.     Draw a scatter diagram of the data.    By​ hand, compute the correlation coefficient.   The correlation coefficient is r=enter your response here. ​(Round to three decimal places as​ needed.) Part 3 ​(c) Determine whether there is a linear relation between x and y.   Because the correlation coefficient is   and the absolute value of the correlation​ coefficient, is than the critical value for this data​ set,   no linear relation exists between x and y.

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Chapter1: Starting With Matlab
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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.

 

 

Draw a scatter diagram of the data. 
 
By​ hand, compute the correlation coefficient.
 
The correlation coefficient is
r=enter your response here.
​(Round to three decimal places as​ needed.)
Part 3
​(c) Determine whether there is a linear relation between x and y.
 
Because the correlation coefficient is 
 and the absolute value of the correlation​ coefficient,
is
than the critical value for this data​ set,
 
no
linear relation exists between x and y.
 
Critical Values for Correlation
Coefficant
Inl
30.997
40.950
S 0.878
610.811
20.254
80.207
9 0.666
100.632
11 10.602
12 0.576
X
13 0. 553
14 0.532
IS
314
16 0.497
10.482
DATA
Y 4
12
18 0.468
19 10.456
20 0.444
21 0.433
22 0.423
SET
2 46 67
8
12 13 19
23
24
25
26
0.413
0.404
0396
0.388
210.381
280374
29 10.367
300.361
n
Transcribed Image Text:Critical Values for Correlation Coefficant Inl 30.997 40.950 S 0.878 610.811 20.254 80.207 9 0.666 100.632 11 10.602 12 0.576 X 13 0. 553 14 0.532 IS 314 16 0.497 10.482 DATA Y 4 12 18 0.468 19 10.456 20 0.444 21 0.433 22 0.423 SET 2 46 67 8 12 13 19 23 24 25 26 0.413 0.404 0396 0.388 210.381 280374 29 10.367 300.361 n
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