In a significant regression model determining if there is a relationship between college GPA and sales performance (number of units sold in the previous month), the 95% confidence interval for the number of units sold when GPA = 3.00 was determined to be 20.914 to 22.657.The correct interpretation is ________________________ .
A)we can be 95% confident that the number of units sold per month by a particular salesperson with a college GPA of 3.00 is between 20.914 and 22.657 units
B)we can be 95% confident that the average number of units sold per month by salespersons with a college GPA of 3.00 is between 20.914 and 22.657 units
C)the number of units sold per month by a salesperson with a college GPA of 3.00 will be between 20.914 and 22.657 units 95% of the time
D)95% of the time the average number of units sold per month will be between 20.914 and 22.657 units
E)we can be 95% confident that each month between 20.914 and 22.657 units will be sold

Question

Quizplus · Accepted Answer

The correct interpretation of a confidence interval in this context is that we can be 95% confident that the average number of units sold per month by salespersons with a college GPA of 3.00 falls within the interval 20.914 to 22.657. This does not predict individual sales performance but rather the average performance of the group with that GPA.

In a Significant Regression Model Determining If There Is a Relationship