[Top Answer] MATH225N – Week 8 Assignment Predictions Using Linear Regression

Description

Week 8: Regression

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Week 8 Assignment – Predictions Using Linear Regression

Activity 1

Question

Janet is studying the relationship between the average number of minutes spent exercising per day and math test scores and has collected the data shown in the table. The line of best fit for the data is yˆ=0.46x+66.4. 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 test score for someone who spent 23 minutes exercising? Round your answer to two decimal places.

Provide your answer below:

Answer

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Activity 2

Question

Janet is studying the relationship between the average number of minutes spent exercising per day and math test scores and has collected the data shown in the table. The line of best fit for the data is yˆ=0.46x+66.4.

(a) According to the line of best fit, the predicted test score for someone who spent 23 minutes exercising is 76.98.

(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 test score of 98, is reliable and reasonable.
• The estimate, a predicted test score of 98, is unreliable but reasonable.
• The estimate, a predicted test score of 98, is unreliable and unreasonable.
• The estimate, a predicted test score of 98, is reliable but unreasonable.

Answer

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Activity 3

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 67 minutes studying? Round your answer to two decimal places.

Answer

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Activity 4

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 92 minutes, is both reliable and reasonable.
• The estimate, a predicted time of 92 minutes, is both unreliable and unreasonable.
• The estimate, a predicted time of 92 minutes, is reliable but unreasonable.
• The estimate, a predicted time of 92 minutes, is unreliable but reasonable.

Answer

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Activity 5

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 27 hours (per week)? Round your answer to two decimal places, as needed.

Provide your answer below:

Answer

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Activity 6

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 47 minutes, is unreliable but reasonable.
• The estimate, a predicted time of 47 minutes, is reliable but unreasonable.
• The estimate, a predicted time of 47 minutes, is both unreliable and unreasonable.
• The estimate, a predicted time of 47 minutes, is both reliable and reasonable.

Answer

Access the entire solutions for this week (top graded solutions) by clicking the ‘Buy’ button.