In: Statistics and Probability
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.
|
x |
2 |
6 |
1 |
7 |
9 |
|
|---|---|---|---|---|---|---|
|
y |
8 |
2 |
6 |
9 |
5 |
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 |
(b) Compute the correlation coefficient.
The correlation coefficient is
r=__?__.
(Round to three decimal places as needed.)
a). for doing the scatterplot i am using minitab. steps for doing scatterplot:-
copy the data in two column of minitab worksheet and name them
"x" and "y"
GRAPH
SCATTERPLOT
double click
in SIMPLE
"IN Y
VARIABLES" select y and " IN X VARIABLES" select x
OK.



***If you have any doubt regarding the problem please write it in the comment section.if you are satisfied please give a LIKE if possible.