**Week 8 Assignment ****Predictions Using Linear Regression **

**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.

- According to the line of best fit, what would be the predicted number of minutes spent reading for someone who spent 67minutes studying? Round your answer to two decimal places.

**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?

Select the correct answer below:

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.

**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.

- According to the line of best fit, what would be the predicted number of minutes spent reading for a person who works 27hours (per week)? Round your answer to two decimal places, as needed.

Provide your answer below:

* *

*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*.*

* (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:

The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable.

The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable.

The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable.

The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

**Solution:**

**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.

- According to the line of best fit, what would be the predicted number of minutes spent reading for someone who spent 67minutes studying? Round your answer to two decimal places.

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****.**

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