Final answer:
Although the question is unclear due to missing essential data, generally one would use quadratic regression analysis to determine the time it takes for the object (in this case, the dog) to return to the starting point.
Step-by-step explanation:
The question provided appears to be incomplete but based on the information given, it seems like it's asking for the time it takes for a dog to return to its owner given a certain set of data represented by a quadratic regression equation. With this type of equation, you can find the time when the dog returns to its owner by determining when the distance between the dog and its owner is zero.
However, the key elements necessary to solve this problem accurately are missing - we don't have the actual distance readings at those time points mentioned. This makes it impossible to provide an accurate response to the question. In a complete problem scenario, you would typically use quadratic regression analysis to determine the equation, then set the equation equal to zero and solve for time to find out how long it takes for the dog to return to its owner.
Learn more about Quadratic Regression