5. Section 13.1 A study to assess the capability of subsurface flow wetland systems to remove biochemical oxygen demand, denoted BOD, and various other chemical constituents resulted in the accompanying data on x = BOD mass loading and y = BODMR mass removal: 3 8 10 11 13 16 27 30 47 8 8 10 11 16 26 1. Compute the quantities n, Σ x, y, Σx², Cy², Σxy 2. Compute the least squares line. 3. Compute SSE and estimate σ with this computation. 4. Computer² to determine what proportion of observed variation can be explained by the approximate linear relationship between x and y. 6. Section 13.2 Given the data of question 5, conduct a hypothesis test of the null hypothesis Hoẞ = 0 at a significance level of α = 0.05.

14. Solve the bacteria-nutrition problem when the given data are as in the following table and the nutrients are supplied daily in amounts of 900 units of N₁, 750 units of №₂, and 1250 units of N₁.The answer states the number of each type of bacterium to be inserted in the culture. N₁ N₂ N3 B₁ 2 1 3 B₁ 1 3 1 B₂ 5 1 7

IQuestion 1] a. The following table shows demand (x) and supply (v) for a sample of a certain commodity. 12 7 11 19 5 21 3 4 17 14 3 21 28 6 43 1 12 30 y i. Plot the points on a scatter graph and state the relationship between the two variables. ii. Calculate the value of the product moment correlation coefficient for the data and comment briefly. b. Company Y wants to determine the cost-volume relation between its factory overhead cost and number of units produced. The volume and the corresponding total cost information of the factory for past eight months are given below: Month 2 3 4 5 6 7 8. Units 1,520 1,250 1,750 1,600 2,350 2,100 3,000 2,750 FOH S36,375 $38,000 $41,750 S42,360 $55,080 SS48,100 $59,000 $56,800 Factory Overhead costs of Company Y i. Use the high-low method to split its factory overhead (FOH) costs into fixed and variable components and create a cost volume formula. ii. Briefly explain why this method is unreliable as a means of cost estimation and suggest one other…

Consider the following pairs of measurements: a. Use Stata to chart a scattergram for the data. Show the graph below. X 5 8 3 4 9 Y 6.2 3.4 7.5 8.1 3.2   b. Use Stata to estimate the least squares model between X and Y. Copy the output below and specify the least squares equation. c. What are SSE, s2, and s?