The table shows a company’s profit based on the number of pounds of food produced. A 2-column table with 5 rows. The first column is labeled pounds of food produced with entries 100, 250, 500, 650, 800. The second column is labeled profit (dollar sign) with entries negative 11,000; 0; 10,300; 11,500; 9,075. Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000

$5300

Step-by-step explanation:

Pounds of food produced - - - - - - profit($)

100 - - - - - - - - - - - - - - - - - - - - (- 11,000)

250 - - - - - - - - - - - - - - - - - - - - - 0

500 - - - - - - - - - - - - - - - - - - - - 10,300

650 - - - - - - - - - - - - - - - - - - - - 11,500

800 - - - - - - - - - - - - - - - - - - - - 9,075

Using the quadratic regression calculator, with a general form of equation:

y=Ax^2+Bx+C

y = 0.0186x^2 - 11.3241x + 8422.2857

With the equation obtained, we can estimate the profit when 350 pounds of food are produced.

Here, x = 350

y = - 0.0817x2 + 102.2355x - 20420.955

y = - 0.0817(350)^2 + 102.2355(350) - 20420.955

y = - 10008.25 + 35782.425 - 20420.955

y = $5353.22