Statistics - Regression Projects

You are a production manager interested in the relationship between defect rate and volume at one of your

  1. You are a production manager interested in the relationship between defect rate and volume at one of your plants. You’ve taken a random sample of 160 shifts and recorded the percentage of defective items and the volume. Here is the plot of the two variables and the regression statistics:

  1. Based on the plot and regression statistics above answer the following questions:
  1. Is there a relationship between defect rate and volume? If so, is it positive or negative?
  2. Which variable is the independent variable and which is the dependent variable?
  3. Write out the regression equation.
  4. What percentage of the variability in the defect rate can be explained by differences in volume?
  5. What defect rate would you predict for a shift with a volume of 4000 units?
  6. What defect rate would you predict for a shift with a volume of 9000 units?
  7. Would you expect all shifts that produced 4000 items to have the same defect rate?
  8. What would you estimate the standard deviation of the distribution of the defect rate to e for a volume of 4000 units?
  9. If a particular shift produced 4000 items and had a defect rate of 10%, based on the regression model what would be the residual for the shift?
  1. Use the scatter plot above to answer the following:
  1. Does there appear to be a linear relationship between the two variables?
  2. Would you characterize the relationship as a positive or negative?
  3. From the plot, estimate the slope and the intercept.
  4. What’s the value for the correlation coefficient?
  5. Describe the points that are far from the regression line.
  1. Using the regression information above answer the following questions:
  1. Write the regression equation to predict a husband’s education from his wife’s education. What proportion of the variability in husbands’ education can be "explained" by wives’ education?
  2. What is the predicted value for a husband’s education if his wife’s education is 13 years?
Price: $10.42
Solution: The downloadable solution consists of 5 pages, 542 words and 2 charts.
Deliverable: Word Document



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