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 tab

Reading and interpreting data
ANSWERED
asked 2021-02-12
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 \(y=−0.79x+98.8\).
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?
Select the correct answer below:
1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.
2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.
3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.
4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

Answers (1)

2021-02-13
Step 1
It is given that the predicted number of minutes spent reading for a person who works 27 hours is 77.47.
Step 2
Correct answer:
The estimate, a predicted time of 77.47, is both reliable and reasonable.
Since, the value of hours worked and the predicted value of time spent for reading are very close to the variables “Hours worked” and “Minutes reading” respectively.
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