[20 points] Hurricane Pressure Washing wants to forecast its energy costs. The manager assumes that the energy costs are related to the gasoline price. The following table shows the energy costs and the average gasoline price for the past 14 months. MGMT 3106: Management Science and Operations Management a) Is the manager's assumption correct? is there a relationship between gasoline prices and energy costs? Provide reasoning for your answer. (Hint: Use regression correlation analysis or a scatter plot to visualize the data. Show screen captures or scanned images to show workt) b) Develop a simple linear regression model that relates gasoline price to enercy cost. (Hint: Use Excel formulas or Excel regression analysis tools, Show screen captures to show work). c) The gasoline price for the next three months is forecasted to be $3.25,53.35, and $3.50. Use linear regression model developed in (b) to forecast the energy costs for next three monthis