Asked by Anthony Rodriguez on May 27, 2024
Verified
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.
________________________________________________________
Least-Squares
A mathematical approach used to minimize the sum of the squares of the differences between observed and predicted values.
Regression Parameters
Parameters in a statistical model that estimate the relationship between independent variables and a dependent variable.
- Absorb the essence and numerical process for deriving a least squares regression line.
- Learn the procedure for estimating values by employing the regression equation.
Verified Answer
TN
Tayana NormanMay 28, 2024
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.
Learning Objectives
- Absorb the essence and numerical process for deriving a least squares regression line.
- Learn the procedure for estimating values by employing the regression equation.
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