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12.6 Exercise 22

Avg difficulty 2.5
  1. Complete the table for the cost per ounce of the different sizes.
  2. Using “size” as the independent variable and “cost per ounce” as the dependent variable, draw a scatter plot of the data.
  3. Does it appear from inspection that there is a relationship between the variables? Why or why not?
  4. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx
  5. Find the correlation coefficient. Is it significant?
  6. If the laundry detergent were sold in a 40-ounce size, find the estimated cost per ounce.
  7. If the laundry detergent were sold in a 90-ounce size, find the estimated cost per ounce.
  8. Does it appear that a line is the best way to fit the data? Why or why not?
  9. Are there any outliers in the the data?
  10. Is the least-squares line valid for predicting what a 300-ounce size of the laundry detergent would cost per ounce? Why or why not?
  11. What is the slope of the least-squares (best-fit) line? Interpret the slope.

OpenStax Introductory Statistics 2e, 12.6 Outliers, exercise 22

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.