draw a scatter diagram of the data
For the accompanying data set, (a) draw a
Data Set
x 7 6 1 7 9
y 3 7 6 9 5
Critical values for the 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
By hand, compute the correlation coefficient. The correlation coefficient is r = _______
Determinewhether the correlation coefficient is a linear relation between x and y.
Answer the following:
Because the correlation coefficient is _______ ( positive or negative) and the absolute value of the correlation coefficient, ____, is _______ (not greater than or greater) than the critical value for this data set, ___, ________ (a negative, a positive, or no) linear relation exists between x and y.
(round to three decimal places as needed).
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