Final answer:
The relationship between the mass and the age of chameleon eggs could be established by analyzing a scatterplot and calculating the correlation coefficient to determine whether there is a positive, negative, or no relationship, or if it cannot be determined from the data. Therefore, the correct answer is option 3) There is no relationship between the mass and the age of the chameleon eggs.
Step-by-step explanation:
To determine the relationship between the mass and the age of chameleon eggs, one would typically create a scatterplot to visualize the data points. If we suppose that this plot shows a trend where as one variable increases, the corresponding other variable also increases, then we would be observing a positive linear relationship.
Conversely, if the scatterplot indicates that as one variable increases, the other decreases, this illustrates a negative linear relationship. If the data points are scattered with no discernible pattern, then we would conclude there is no relationship between the two variables.
Lastly, if the scatterplot does not clearly indicate any of these trends, it might be determined that the relationship cannot be determined from the scatterplot alone. To make a conclusive determination, additional statistical analysis would be necessary, such as calculating the correlation coefficient and testing its significance.
Therefore, the correct answer is option 3) There is no relationship between the mass and the age of the chameleon eggs.