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.
Data Set
x 2 4 6 6 7
y 4 8 10 14 19
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
n
(a) Draw a scatter diagram of the data. Choose the correct graph below.
(b) By hand, compute the correlation coefficient.
(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,___, ________linear relation exists between x and y.
(Round to three decimal places as needed.)
( a ) Scatter plot
( b ) Correlation ( r )
X | Y | X⋅Y | X⋅X | Y⋅Y |
2 | 4 | 8 | 4 | 16 |
4 | 8 | 32 | 16 | 64 |
6 | 10 | 60 | 36 | 100 |
6 | 14 | 84 | 36 | 196 |
7 | 19 | 133 | 49 | 361 |
r = 0.914
with n = 5
critical value = 0.878
( c )
Because the correlation coefficient is positive and the absolute value of the correlation coefficient,greater than than the critical value for this data set 0.878, a positive,linear relation exists between x and y.
For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand,...
Please help me with part C. 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. (b) Compute the correlation coefficient. The correlation coefficient is requals=0.397 (Round to three decimal places as needed.) (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,...
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