Question

Determine the strength and direction of the line of best fit given the table below
Correlation coefficient. Strength. Direction of
Line of best
Fit
0.1247833
-0.9887632
0.79283524
-0.000001235
-0.59725562
Choices
Negative slope
No correlation
Strong positive
Weak positive
Positive slope
Strong negative
No slope
Weak negative

Answer 1

To determine the strength and direction of the line of best fit based on the provided correlation coefficients, we can analyze each value using general guidelines for interpreting correlation coefficients (r):

1. **Strength**:
- **Strong Correlation**: |r| ≥ 0.7
- **Weak Correlation**: 0.3 < |r| < 0.7
- **No Correlation**: |r| < 0.3

2. **Direction**:
- **Positive slope**: r > 0
- **Negative slope**: r < 0
- **No slope**: r = 0

Here’s the analysis for each correlation coefficient given:

1. **0.1247833**:
- Strength: Weak because |0.1247| < 0.3
- Direction: Positive slope (since the value is positive).

2. **-0.9887632**:
- Strength: Strong because |-0.9887| ≥ 0.7
- Direction: Strong negative slope (since the value is negative).

3. **0.79283524**:
- Strength: Strong because |0.7928| ≥ 0.7
- Direction: Positive slope (since the value is positive).

4. **-0.000001235**:
- Strength: No correlation because |-0.000001235| < 0.3
- Direction: No slope (since it is very close to zero).

5. **-0.59725562**:
- Strength: Weak because |-0.5973| < 0.7 but > 0.3
- Direction: Weak negative slope (since the value is negative).

### Summary:
- **0.1247833**: Weak positive
- **-0.9887632**: Strong negative
- **0.79283524**: Strong positive
- **-0.000001235**: No correlation
- **-0.59725562**: Weak negative

You can select the best description for each correlation coefficient based on the above classifications.