8
QuizMultiple Choice

Regression Analysis — Quiz

Question 8 • Algebra II

The quadratic regression equation y is equal to negative 0 point 1 x squared plus 143 point 9 9 x minus 13 comma 242 point 8 4 models expected company profits in terms of the number of pairs of shoes sold. Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

Answer
A
44 dollars comma 300
B
28 dollars comma 400
C
60 dollars comma 400
D
41 dollars comma 600

Explanation

Substitute 400 for x in the regression equation: y = −0.1(400²) + 143.99(400) − 13,242.84. This gives −16,000 + 57,596 − 13,242.84 = $28,353.16, which is approximately $28,400. So the company can expect about 28,400 dollars in profit.

AI-written and checked against the verified answer.

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