show step by step calculations do not use excel

INSTRUCTION The following question needs a text based answer. You will note down your answers in the text box provided to you. This text box is more like a MSWord kind of editor like insert table and also has the facility to insert equations. Bbut you may just write them in words, if you do not know how to insert equations, for example, instead of notations, just write "Mean of x" or "Standard deviation of X" etc. QUESTION A hydrocarbon processing factory needs to forecast the demand for their products. The demand is understood to be related to awareness campaigning. Build a linear regression to develop an equation model to forecast for this product. The following tables shows four months data. Awareness Campaigning Month Sales (thousands of units) (thousands of S) 1 2.5 135 2. 1.3 250 3 1.5 298 4 1.8 275 Number your answers same as the question numbers below: 4 1.8 275 Number your answers same as the question numbers below: Show your step-by-step calculations. a) Which is the dependent (y) and independent (x) variable and why? (2 points) b) Find the mean and standard deviations for x and y. (3 Points) c) Calculate the Pearson's correlation coefficient, "r"? Calculate the sample coefficient of determination, p2" ? What does the value interpret? (10 Points) 18 d) Find the intercept "a" and the value of slope "b" and write the regression equation (10 Points)