- For each of the scatter plots below, indicate the direction (positive, negative, none) and the strength (weak, moderate, strong) of the relationship between the variables.
| Direction | |||
| Strength |
Answer the next set of questions based on the data given below.
| Participant ID | Age (year) | Weight (lbs) | Height (inches) |
| 1 | 32 | 108.47 | 61.02 |
| 2 | 37 | 158.73 | 70.12 |
| 3 | 29 | 193.57 | 69.49 |
| 4 | 45 | 181.44 | 69.49 |
| 5 | 23 | 131.84 | 64.25 |
| 6 | 38 | 136.69 | 64.96 |
The Pearson r coefficient for the relationship between height and weight is r = .91.
- What is the strength and direction of the correlation?
- Is the correlation statistically significant (αtwo-tailed = .05)?
- Compute the effect size and explain it in a sentence.
The Pearson r coefficient for the relationship between height and age is r = .38.
- Think about the limitations of correlations. What is one possible reason that this particular data set does not show a statistically significant relationship between age and height for humans?
