Question

The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t (in sec) is the time after the object has been released. Use technology to find the correct R2 value of the given data using a quadratic regression.

Answer 1

The correct option is 4. The value of R² is 1.000.

Explanation:

The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t (in sec) is the time after the object has been released.

The general form of quadratic regression is

`y=ax^2+bx+c`

Use technology, we get

`a=-16, b=-5.1901\cdot10^(-15),c=500,R^2=1`

The required quadratic regression is

`y=-16x^2+-5.1901\cdot10^(-15)x+500`

The value of R² is 1.000. Therefore the correct option is 4.

Answer 2

The value of R2 is 1.000, Choice D. Kindly rate my answer.

Explanation:

Obtain a scatter plot in Ms. Excel then fit a quadratic trend line to obtain the value of R2 associated with the quadratic regression. R2 is referred to as the coefficient of determination and among other things it is a measure of the predictive power of the fitted model.