Q:

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?

Accepted Solution

A:
Answer:Predicted profit in year 8 is 17.14 millions of dollars.Step-by-step explanation:The quadratic equation[tex]y=-0.34x^2+4.43x+3.46[/tex]predicts the profit y for a company in year x.The profit in year 8 is the value of y at x=8:[tex]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[/tex]Hence, predicted profit in year 8 is 17.14 millions of dollars.