Math 225n Week 8 Assignment Predictions Using Linear Regression

MATH 225N Week 8 Assignment Predictions Using Linear Regression Make predictions using a line of best fit 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 y=0.16x+36.2. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Studying (Minutes)50,70,90,110Reading (Minutes)44,48,50,54 (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. CORRECT ANSWER: 46.92. Great work! That's correct. 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: y=0.16(67)+36.2=46.92. (b)Is it reasonable to use this line of best fit to make the above prediction?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 11 0 minutes, so the line of best fit gives reliable and reasonable predictions for values of x between 50 and 11 0. Since