The scatter plot shows the time spent texting, x, and the time spent exercising,

Question

The scatter plot shows the time spent texting, x, and the time spent exercising, y, by each of 24 students last week. Time spent exerdsing in hours) Time spent texting in hours) Use the equation of the line of best fit, y0.75x+8.6s, to answer the questions below. Give exact answers, not rounded approximations. (a) What is the predicted time spent exercising for a student who spends 4 hours texting? ! hours (b) What is the predicted time spent exercising for a student who doesn't spend any time texting? hours (c) For an increase of one hour in the time spent texting, what is the predicted decrease in the time spent exercising? ours

Explanation / Answer

The given prediction equation is:

y=-0.75x+8.65

a)The predicted time spent exercising for a student who spends 4 hours texting is given by

y=-0.75x+8.65

y=-0.75*4+8.65

y=-3+8.65

y=5.65

The predicted time spent exercising for a student who spends 4 hours texting is 5.65 hours.

b) The predicted time spent exercising for a student who does not spends any time texting is given by

y=-0.75x+8.65

y=8.65

The predicted time spent exercising for a student who does not spends any time texting is 8.65 hours.

c) For an increase of one hour in the time spent in texting, the predicted decrease in the time spent exercising is 0.75 hours.

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