correlation coefficient, statistics homework help
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.
The data set:
xy
23
62
16
79
95
Critical values table:
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
I’ve attached the scatter diagram of the data.
Compute the correlation coefficient.
The correlation coefficient is r = __ (Round to three decimal places as needed.)