Final answer:
The head of safety has issued a recall for a toy manufacturer and tracks the number of returned items. We analyze the given options to determine the true statements regarding the relationship in the table.
Step-by-step explanation:
The given options are:
- In the best model, a rounds to 4.
- In the best model, b rounds to 0.133.
- The best model is a logarithmic function.
- It cannot be modeled by a logistic function.
- The coefficient of determination is greater than 0.9.
To determine which statements are true, we need to analyze each option.
a) In the best model, 'a' rounds to 4: This means that the value of 'a' in the model is approximately 4 after rounding.
b) In the best model, 'b' rounds to 0.133: This means that the value of 'b' in the model is approximately 0.133 after rounding.
c) The best model is a logarithmic function: It is not stated in the given options whether the best model is logarithmic or not, so we cannot determine its validity.
d) It cannot be modeled by a logistic function: It is not stated in the given options whether it can or cannot be modeled by a logistic function, so we cannot determine its validity.
e) The coefficient of determination is greater than 0.9: The coefficient of determination (r-squared) measures the proportion of the variability in the dependent variable that can be explained by the independent variable(s). An r-squared value greater than 0.9 indicates a strong relationship between the variables. However, it is not mentioned in the given options what the coefficient of determination is, so we cannot determine its validity.
In summary, the statements that can be determined as true based on the given options are:
- In the best model, a rounds to 4.
- In the best model, b rounds to 0.133.