In: Statistics and Probability
A company wanted to know if there is correlation between the demands and supply, data was collected for a nine month as follows:
demand |
20 |
30 |
40 |
50 |
60 |
supply |
15 |
25 |
35 |
45 |
55 |
1-Using the formula for the sample correlation coefficient to evaluate the strength of the linear relationship.
2- Correlation Significance Test at α=0.05
T(0.05; 9 ) |
T(0.05; 7) |
T(0.025;7) |
T(0.025; 9) |
1.833 |
1.895 |
2.365 |
2.262 |
Solution-
1) sample correlation calculation-
By formula sample correlation coefficient is 1.
Hence, there is strong and positive linear relationship between demand and supply.
2) Correlation significance test.
Alternative hypothesis is
By above test null hypothesis is rejected.
Hence, there is strong relationship between Demand and Supply