The owner of an air conditioner business wants to investigate the relationship between the weekly number of air conditioners sold, temperature and the seasons of the year.
A random sample of 14 weeks is taken, with the average temperature of that week (in degrees Celsius) and the quarter from which that week belonged, noted.
There are three indicator variables, March, September and December.
Excel is used to generate the following multiple linear regression output. (a) Estimate the number of air conditioners sold in the first week of December, on a 40 degree
Celsius day. Is this a good estimate?
(b) If the actual number of air conditioners sold in the first week of December was 45 air conditioners, find the residual? Has the model over estimated or underestimated the weekly number of air conditioners sold by this business?

Question

The owner of an air conditioner business wants to investigate the relationship between the weekly number of air conditioners sold, temperature and the seasons of the year.
A random sample of 14 weeks is taken, with the average temperature of that week (in degrees Celsius) and the quarter from which that week belonged, noted.
There are three indicator variables, March, September and December.
Excel is used to generate the following multiple linear regression output.  (a) Estimate the number of air conditioners sold in the first week of December, on a 40 degree
Celsius day. Is this a good estimate?
(b) If the actual number of air conditioners sold in the first week of December was 45 air conditioners, find the residual? Has the model over estimated or underestimated the weekly number of air conditioners sold by this business?

Quizplus · Accepted Answer

The Answer of The owner of an air conditioner business wants to investigate the relationship between the weekly number of air conditioners sold, temperature and the seasons of the year.
A random sample of 14 weeks is taken, with the average temperature of that week (in degrees Celsius) and the quarter from which that week belonged, noted.
There are three indicator variables, March, September and December.
Excel is used to generate the following multiple linear regression output.  (a) Estimate the number of air conditioners sold in the first week of December, on a 40 degree
Celsius day. Is this a good estimate?
(b) If the actual number of air conditioners sold in the first week of December was 45 air conditioners, find the residual? Has the model over estimated or underestimated the weekly number of air conditioners sold by this business?

The Owner of an Air Conditioner Business Wants to Investigate