8
QuizMultiple Choice

Linear Regression Methods — Quiz

Question 8 • Algebra II

The table shows data from a concession stand, representing weekly sales x in dollars and profit y in dollars. x 1 comma 250 1 comma 485 1 comma 535 1 comma 880 1 comma 950 2 comma 005 2 comma 425 2 comma 535 2 comma 675 y 755 905 930 1 comma 140 1 comma 175 1 comma 215 1 comma 480 1 comma 535 1 comma 625 When using the median-fit method with summary points open paren 1 comma 485 comma 905 close paren , open paren 1 comma 950 comma 1 comma 175 close paren , and open paren 2 comma 535 comma 1 comma 535 close paren , what is the approximate slope of the best-fit model?

Answer
A
18 over 31
B
5 thirds
C
31 over 18
D
3 fifths

Explanation

For the median-fit method, use the first and third summary points to find the slope. The change in profit is 1,535 − 905 = 630 dollars, and the change in sales is 2,535 − 1,485 = 1,050 dollars. Thus the slope is 630/1,050 = 3/5, so the approximate slope is choice D, 3/5.

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