Question
DATA FILE HERE: https://docs.google.com/spreadsheets/d/1lDHq7dP5sM6VUyXBKZnK-b6QsJiozqBa696BUnWHQm4/edit?usp=sharing A heating contractor sends a repair person to homes in response to calls about heating problems. The contractor would like to
DATA FILE HERE: https://docs.google.com/spreadsheets/d/1lDHq7dP5sM6VUyXBKZnK-b6QsJiozqBa696BUnWHQm4/edit?usp=sharing
A heating contractor sends a repair person to homes in response to calls about heating problems. The contractor would like to have a way to estimate how long the customer will have to wait before the repair person can begin work. Data on the number of minutes of waiting time (Wait Time) and the backlog of previous calls waiting for service (Backlog) were obtained.
(a)Find the linear regression equation resulting from regression of WaitTime on Backlog. Give an interpretation for the slope and the intercept.
(b)Calculate the predicted value and the 95% prediction interval for the time to respond to a call when the backlog is 6.
(c) Consider a regression for a model with the base-10 logarithm of Wait Time as a response and Backlog as a predictor. Run a linear regression in Minitab for this model. Does this model appear better than the one without taking the logarithm of the Wait Time?
(d) Calculate the predicted value for the log of the Wait Time when the backlog is 6.
(e) Convert your answer to question (d) to a predicted value for the Wait Time when the backlog is 6.
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