Question

HELP

This table shows the profit for a company (in millions of dollars) in different years.

The quadratic regression equation that models these data is y = - 0.34x^2 + 4.43x + 3.46. Using the quadratic regression equation, what was the predicted profit in year 8?

Answer 1

Predicted profit in year 8 is 17.14 millions of dollars.

Explanation:

The quadratic equation

`y=-0.34x^2+4.43x+3.46`

predicts the profit y for a company in year x.

The profit in year 8 is the value of y at x=8:

`y(8)=-0.34\cdot 8^2+4.43\cdot 8+3.46\\ \\y(8)=-0.34\cdot 64+35.44+3.46\\ \\y(8)=-21.76+38.9\\ \\y(8)=17.14`

Hence, predicted profit in year 8 is 17.14 millions of dollars.

Answer 2

$17.14

Explanation:

Given :
`y = - 0.34x^2 + 4.43x + 3.46`

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

`y = - 0.34x^2 + 4.43x + 3.46`

Where y is profit and x is year

Substitute x = 8

`y = -0.34(8)^2 + 4.43(8) + 3.46`

`y =17.14`

So, Option D is true

Hence the predicted profit in year 8 is $17.14