A college student collected data from a number of his classmates. He recorded the number of hours each spent watching television and sleeping each night. The scatter plot shows the data he gathered and the line of best fit.
The graph shows Hours of Sleep and Hours of TV Watching, the Hours of Nightly TV Watching are on the x-axis, and Hours of Nightly Sleep are on the y-axis. A line starts from (9, 0 to 0, 9). Red dots plotted at (1, 7), (1, 9), (2, 5), (3, 8)
Using technology, the student found the equation of the line of best fit is y = -x + 9.
Based on the equation for the line of best fit, how many hours of nightly sleep would a classmate likely get if she spent 6 hours watching television each night?
A.
7 hours
B.
15 hours
C.
6 hours
D.
3 hours
1 answer
To find the number of hours of nightly sleep a classmate would likely get if she spent 6 hours watching television each night, we can substitute \( x = 6 \) into the equation of the line of best fit, which is given as \( y = -x + 9 \).
Calculating \( y \):
\[ y = -6 + 9 \] \[ y = 3 \]
Therefore, if a classmate spent 6 hours watching television, she would likely get 3 hours of sleep.
The correct answer is D. 3 hours.
