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Exam (elaborations)

Math 225N Week 8 Final Exam Version 2 (Latest 2021)

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MATH 225N WEEK 8 FINAL EXAM VERSION 2 (LATEST 2021) MATH225N WEEK 8 FINAL EXAM VERSION 2 (LATEST 2021)

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MATH 225N WEEK 8 FINAL EXAM LATEST-2020

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.

Studying (Minutes) 507090110 Reading (Minutes) 44485054

(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.

Studying (Minutes) 507090110 Reading (Minutes) 44485054

(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.

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