A regression equation was constructed that predicts the time it takes a worker to complete a task (in seconds) by using the number of times the worker has performed the task. For new workers, the time the task takes to complete reduces linearly as the workers gain experience over their first hours on the job.
The equation used was
time = 112.65 - 2. 76(number)
which of these is the correct interpretation of the -intercept in context?
(A) For 112.65 seconds, we predict the task is done in 2.76 times on average.
(B) For every 2.76 times the task is done, the task is predicted to take 112. 65 seconds.
(C) Before the worker has practiced the task at all, it is predicted the task will take 112.65 seconds.
(D) Every time the task is completed, the worker can do the task 112.65 seconds faster.
(E) The -intercept is meaningless in this context.
which of these is the correct interpretation of the slope in context?
(A) For every 112.65 times the worker completes the task, the predicted time reduces by 2.76 seconds.
(B) For every one time the task is completed, the predicted time to complete the task is 112.65 seconds.
(C) For every 2.76 times the task is completed, the predicted time to complete the task is lowered by 1 second.
(D) For every 1 more time the task is completed, the predicted time to complete the task is lowered by 2.76 seconds.
(E) For every 1 more second the worker takes to complete the task, the predicted number of times the task has been attempted decreases by an average of 2.76.