Regression correlation problem (30 Marks)

The following figures show the output (in thousands of tons) and expenditure on energy($) for a firm over ten monthly period

Output(X) 20 22 25 26 21 23 28 20 25 29

Expenditure(X) 106 138 158 172 120 142 184 102 164 192

REQUIRED:

1. Draw a scatter diagram for the data (5 marks)
2. Determine the mathematical equation ( regression Equation) in the form of y=a+bx using any one of the following methods A. Least square method B. Method of semi average (i.e. graphical method) C. Inspection method

3. Calculate the product moment correlation using product moment correlation coefficient I

4. What relationship exists between output and expenditure? Explain giving four sufficient reasons to support your answer

please answer this showing everything workouts along with what is asked for in each question