Amanufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line. the managers believe that there is a relationship between the defect rate and the production rate per hour. the managers believe that they can use production rate to predict the number of defects. the following data were collected for 7 randomly selected hours.

defects production rate/h
2 40
3 45
1 20
3 40
5 50
4 30
6 50

a. set up a scatter diagram, and discuss what if any relationship appears to be present between two variables.
b. use the least-squares method to predict the number of defects when production rate is 60.
c. interpret the meaning of the regression coefficients in this problem.
d. compute the standard error of the estimate.
e. at a significance level of.01 can you conclude that production rate is a good predictor of the number defects?
f. construct a 95% confidence interval for the population slop