Let x be the weight (in tons) of a load of lumber and y be the time (in hours) it takes to load it on a truck. A simple linear regression model relates x and y where the least squares estimates of the regression parameters are b = 6.5 and a = 3.3.
What is the least-squares best-fitting regression line? =
What is the average change in time per one ton increase in weight?
(hours)
What is the estimated time it takes to load 9 tons of lumber?
(hours)
Interpret the y -intercept of the regression line.
__________________________________________

Question

Let x be the weight (in tons) of a load of lumber and y be the time (in hours) it takes to load it on a truck. A simple linear regression model relates x and y where the least squares estimates of the regression parameters are b = 6.5 and a = 3.3.
What is the least-squares best-fitting regression line?

= ______________
What is the average change in time per one ton increase in weight?
______________ (hours)
What is the estimated time it takes to load 9 tons of lumber?
______________ (hours)
Interpret the y -intercept of the regression line.
________________________________________________________

Tayana Norman · Accepted Answer

Final Answer : 3.3+6.5x; 6.5; 61.8; The estimated time it takes to load zero tons of lumber on a truck is 3.3 hours. Of course this does not have any practical sense.

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