Question

The data below describe the height of a cell phone accidentally dropped off a rooftop ledge as it falls to the ground. Time Since Dropped (seconds) Height Above Ground (meters) 0.0 25.0 0.5 24.0 1.0 20.0 1.5 14.0 2.0 5.5 Quadratic regression is used to model this data. According to regression, how long did it take for the cell phone to fall to a height of 17 meters above the ground? a 1.1 seconds b 1.3 seconds c 1.5 seconds d 1.7 seconds

Answer 1

According to the quadratic regression model, it took 1.3 seconds for the cell phone to fall to a height of 17 meters above the ground.

Step-by-step explanation:

To find how long it took for the cell phone to fall to a height of 17 meters, we need to use the quadratic regression model.

From the given data, we can observe that the height above ground decreases as time since dropped increases. We can use this information to create a quadratic equation using the quadratic regression model.

Using the quadratic regression equation, we find that at t = 1.3 seconds, the cell phone falls to a height of 17 meters above the ground. Therefore, the answer is 1.3 seconds.