In: Statistics and Probability
Using the data below, calculate the correlation of these samples.
| seed_mass | seedling_height |
| 5.06 | 7.91 |
| 5.06 | 7.25 |
| 5.5 | 7.29 |
| 5.91 | 8.91 |
| 5.6 | 6.93 |
| 4.54 | 6.65 |
| 6.6 | 8.47 |
| 4.79 | 5.87 |
| 6.15 | 9.18 |
| 5 | 6.14 |
| 5.77 | 6.34 |
| 4.33 | 5.22 |
| 5.38 | 7.7 |
| 4.25 | 5.77 |
| 5.41 | 8.29 |
| 5.01 | 7.66 |
| 6.26 | 6.73 |
| 5.07 | 6.56 |
| 5.5 | 5.89 |
| 5.23 | 7.14 |
| 4.24 | 5.48 |
| 5.89 | 8.36 |
| 5.32 | 6.56 |
| 5.56 | 6.04 |
| 4.95 | 6.97 |
(a) The correlation coefficient r = (report your answer
to 3 decimal places)
(b) The alternate hypothesis is (answer A or B)
(A) ρ = 0 ;
(B) ρ ≠ 0
(c) calculated t value is (report your answer to 3 decimal places)
(d) Degree of freedom =
(e) critical t value at alpha =0.05 =
(f) Do we reject or fail to reject the null hypothesis?
Answer: (reject or fail to reject)
(g) Is there a relationship between seed weight and seedling height? Answer: (Yes or no)