Objective Learn how to calculate and interpret Linear Regression, Time-Series Forecasting and Productivity. Instructions For all the following questions, - show your step-by-step calculations for each (Points will be deducted if there are no calculation steps) -write their explanations i.e., what does the resulted value suggest about the forecast 1. Amazon's supply chain manager Peter Baelish needs to forecast the demand for loungers and believes that the demand is related to digital advertising expenditures. Use linear regression to develop an equation and a forecast for this product. (.5 * 7) The following are sales and advertising data for the past 5 months: Month Sales (thousands of units) Advertising (thousands of $) 1 264 2.5 2 116 1.3 3 165 1.4 4 101 1.0 5 209 2.0 A. Which is the dependent and independent variable and why? B. Find the mean of sales and advertising. I and y. Also f ind the standard deviation of sales and advertising oy and Ox. What does it signify? C. What is the value of correlation coefficient,"r"? What does it mean? D. What is the Value of coefficient of determination, 2? What does it mean? E. Find the intercept"a" and the value of slope b F. Write the regression equation. G. If the company spends $1,750 next month on advertising for the product, what is the estimate for the sales