Question

the table shows a companys profit based on the number of pounds of food produced.

profit
\

$$\begin{tabular}{|c|c|} \\hline pounds of food produced & profit (\\$)\\\\ \\hline 100 & -11,000 \\\\ \\hline 250 & 0 \\\\ \\hline 500 & 10,300 \\\\ \\hline 650 & 11,500 \\\\ \\hline 800 & 9,075 \\\\ \\hline \\end{tabular}$$

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

Explanation:

Set up the quadratic regression system

$$
LATEXBLOCK0
$$

Calculate the regression coefficients

$$
LATEXBLOCK1
$$

Evaluate the model at x = 350

$$
LATEXBLOCK2
$$

Answer:

• \$5,150
• \$5,300 (Correct answer)
• \$10,150
• \$11,000