To determine the correlation between the age and weight of babies at the hospital as shown in the table, we can follow these steps:
1. List the Data:
We have two sets of data:
- Ages (in weeks): 1, 2, 3, 3, 4, 4, 6, 8, 9, 9
- Weights (in lbs): 7.5, 7.25, 8.2, 7.95, 8.0, 9.75, 9.25, 8.9, 9.85, 10.0
2. Calculate the Correlation Coefficient:
The correlation coefficient is a measure that determines the degree to which two variables' movements are associated. It ranges from -1 to 1.
- A correlation coefficient of 1 indicates a perfect positive correlation.
- A correlation coefficient of -1 indicates a perfect negative correlation.
- A correlation coefficient of 0 indicates no correlation.
3. Interpret the Correlation Coefficient:
- In this particular case, the correlation coefficient calculated from the given data is approximately 0.831. Since this value is positive and relatively close to 1, it indicates a strong positive correlation.
- This means that as the age of the babies increases, their weight tends to increase as well.
4. Conclusion:
Given the calculated correlation coefficient of 0.831, the correlation between the age and weight of the babies is positive.
Therefore, the answer is positive.
