math 225n week 8 final exam math225 week 8 final exam version 2
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MATH225 Week 8 Final Exam
Question
The table shows data collected on the relationship between the time spent studying per day and
the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Assume the
line of best fit is significant and there is a strong linear relationship between the variables.
(a) According to the line of best fit, what would be the predicted number of minutes spent
reading for someone who spent 67 minutes studying? Round your answer to two decimal places.
Perfect. Your hard work is paying off 😀
The predicted number of minutes spent reading is 46 point 9 2$$46.9246 point 9 2 - correct.
response - correct
Answer Explanation
The predicted number of minutes spent reading is 1$$1 - no response given.
Correct answers:
146 point 9 2 $46.92$46.92
Substitute 67 for x into the line of best fit to estimate the number of minutes spent reading for
someone who spent 67 minutes studying: yˆ=0.16(67)+36.2=46.92.
Question
The table shows data collected on the relationship between the time spent studying per day and
the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2.
,(a) According to the line of best fit, the predicted number of minutes spent reading for someone
who spent 67 minutes studying is 46.92.
(b) Is it reasonable to use this line of best fit to make the above prediction?
Great work! That's correct.
The estimate, a predicted time of 46.92 minutes, is both reliable and reasonable.
The estimate, a predicted time of 46.92 minutes, is both unreliable and unreasonable.
The estimate, a predicted time of 46.92 minutes, is reliable but unreasonable.
The estimate, a predicted time of 46.92 minutes, is unreliable but reasonable.
Answer Explanation
Correct answer:
The estimate, a predicted time of 46.92 minutes, is both reliable and reasonable.
The data in the table only includes studying times between 50 and 110 minutes, so the line of
best fit gives reliable and reasonable predictions for values of x between 50 and 110. Since 67
is between these values, the estimate is both reliable and reasonable.
Question
Michelle is studying the relationship between the hours worked (per week) and time spent
reading (per day) and has collected the data shown in the table. The line of best fit for the data is
yˆ=−0.79x+98.8. Assume the line of best fit is significant and there is a strong linear
relationship between the variables.
Hours Worked (per week) 30405060 Minutes Reading (per
day) 75685852
(a) According to the line of best fit, what would be the predicted number of minutes spent
reading for a person who works 27 hours (per week)? Round your answer to two decimal places,
as needed.
, Yes that's right. Keep it up!
The predicted number of minutes spent reading is 77 point 4 7$$77.4777 point 4 7 - correct.
response - correct
Answer Explanation
The predicted number of minutes spent reading is 1$$1 - no response given.
Correct answers:
177 point 4 7 $77.47$77.47
Substitute 27 for x into the line of best fit to estimate the number of minutes spent reading for a
person who works 27 hours (per week): yˆ=−0.79(27)+98.8=77.47.
Question
Michelle is studying the relationship between the hours worked (per week) and time spent
reading (per day) and has collected the data shown in the table. The line of best fit for the data is
yˆ=−0.79x+98.8.
Hours Worked (per week) 30405060 Minutes Reading (per
day) 75685852
(a) According to the line of best fit, the predicted number of minutes spent reading for a person
who works 27 hours (per week) is 77.47.
(b) Is it reasonable to use this line of best fit to make the above prediction?
Yes that's right. Keep it up!
The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.
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