In: Statistics and Probability
1. Use the following data to answer the questions below. Show your work
(x-mx^2 |
x |
y |
(y-my)^2 |
(x-m)(y-m) |
9 |
8 |
9 |
16 |
12 |
9 |
2 |
5 |
0 |
0 |
16 |
1 |
5 |
0 |
0 |
9 |
2 |
8 |
9 |
-9 |
16 |
9 |
2 |
9 |
-12 |
9 |
8 |
1 |
16 |
-12 |
Sum 68 |
5 |
5 |
Sum 50 |
Sum -21 |
x |
y |
||||||
8 |
9 |
||||||
2 |
5 |
||||||
1 |
5 |
||||||
2 |
8 |
||||||
9 |
2 |
||||||
8 |
1 |
What is the covariance between Y and X
What is the correlation coefficient between X and Y
Are X and Y independent
Test at 5% significance level
What is the null hypothesis
What is the critical value of the test statistic
What is your conclusion