In: Statistics and Probability
Sales data were collected from a small bookstore. The following is an equation for the regression line of the data.
Sales = 9.12 + 0.818(Number of Salespeople Working)
The assumptions and conditions for regression are met, and from technology, it is known that SE(b1) = 0.0920 and Se =1.640.
Number of Salespeople Working // Sales (in $1000s)
1 // 11
2 // 10
6 // 12
9 // 16
9 // 18
10 // 20
13 // 19
14 // 19
17 // 22
19 // 26
Complete parts a through c below.
a) Find the predicted Sales on a day with 12 employees working.
b) Find the 95% confidence interval for the mean Sales on days with 12 employees working.
c) Find the 95% prediction interval for Sales on a day with 12 employees working.