The Director of Human Resources at Jaunk-It moving company wants to predict the number of cubic feet of goods moved based on labor hours (stored in Jaunkit file). In other words if he pays his workers...

The Director of Human Resources at Jaunk-It moving company wants to predict the number of cubic feet of goods moved based on labor hours (stored in Jaunkit file). In other words if he pays his workers for 12 h of work, about how many cubic feet of goods are they moving into the storage unit? Use the data to help the Director understand this relationship. The independent variable is the number of hours and our variable of interest is the dependent variable, cubic feet of goods being moved.

(a) Construct a scatter plot

(b) Determine the coefficient of determination, R²
, and interpret its meaning.

Answer: R²
= 0.8892 Therefore, 89 % of cubic feet moved can be explained by the labor hours worked.

How would you explain this relationship to the Director? There is a strong linear relationship between number of hours and cubic feet moved. This means that the more cubic feet on a property that requires moving, the more hours it will take for workers to move these things. Knowing how many hours he has paid his employees should help him predict how many cubic feet of stored goods have been moved. If he pays his employees for 30 h of moving time, he should expect
 or approximately 644 of cubic feet of storage space to be filled with moved goods. Once this relationship is established, he can flag lower performing employees. Higher performing employees may warrant bonuses.