In: Statistics and Probability
1. A manufacturing company is interested in
predicting the number of defects that will be produced each...
1. A manufacturing 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
- Set up a scatter diagram, and discuss what if any relationship
appears to be present between two variables.
- Use the least-squares method to predict the number of defects
when production rate is 60.
- Interpret the meaning of the regression coefficients in this
problem.
- Compute the standard error of the estimate.
- At a significance level of .01 can you conclude that production
rate is a good predictor of the number defects?
- Construct a 95% confidence interval for
the population
slop.