Question

Time spentdoing homework(in hours)11Time spent watching TV(in hours)Use the equation of the line of best fit, y=-0.78x + 26.12, to answer the questions below.Give exact answers, not rounded approximations.(a) What is the predicted time spent doing homework for astudent who doesn't spend any time watching TV?0 hoursI hours(b) What is the predicted time spent doing homework for astudent who spends 12 hours watching TV?(c) For an increase of one hour in the time spent watchingTV, what is the predicted decrease in the time spent doinghomework?I hours

Answer 1

we have the equation of the line

y=-0.78x+26.12

where

x ----> time spent watching tv in hours

y ---> time spent doing homework

Part a

For x=0

y=-0.78(0)+26.12

y=26,12 hours

Part b

For x=12 hours

substitute

y=-0.78(12)+26.12

y=16.76 hours

Part c

we have that

the slope of the line is m=-0.78

the slope is equal to divide rise by run

slope=rise/run

For run=1 hour

substitute

-0.78=rise/1 hour

rise=-0.78 hours

the amswer is 0.78 hours