The regression equation y is equal to 8 point 6 sine open paren 0 point 2 4 x minus 1 point 8 8 close paren plus 62 point 8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?
Answer
A
57 point 0 times degree F
B
54 point 2 times degree F
C
71 point 4 times degree F
D
62 point 8 times degree F
Explanation
The sine term ranges from −1 to 1, so its largest possible value is 1. The maximum temperature is therefore 8.6(1) + 62.8 = 71.4°F; the phase shift does not change the maximum. The correct choice is 71.4°F.
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