An engineer in charge of process improvement wants to study the relationship between the total number of hours of training that an operator has received (X= independent varibale) and the time in minutes that the operator requires to produce a component (Y= dependent variable). She collects the following data:
Xi Yi
1 8
2 6
4 4
Based on her previous studies and experience, the engineer believes that the relationship between Y and X is as follows:
y(carrot)= b0 + b1 (1/x)
Find the values of b0 and b1 using the method of regression (that is, minimizing the sum of the squares of prediction errors) and predict the time in minutes required by the operator to produce the component, after receiving 3 hours of training.
(HINT: introduce a new independent variable which is a function of X(hours of training), using an appropriate transformation so that the relationship between Y(time required to produce a component) and this new independent variable is linear.