Sherry is a production manager for a small manufacturing shop and is interested in developing a predictive model to estimate the time to produce an order of a given size—that is, the total time to produce a certain quantity of the product. Suppose she has collected data in the following table on the total time (in minutes) to produce 30 different orders of various quantities. Quantity Total Time (minutes)
105 172
125 189
135 221
141 323
149 248
171 317
190 372
204 185

Required:
a. Develop the estimated regression equation. (Let x = quantity, and let y = total time (in minutes). Round your numerical values to four decimal places.) ŷ =
b. Find the value of the test statistic (round to two decimal places). Find the p-value (round to three decimal places).