5. Section 13.1A 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 massloading and y = BODMR mass removal:3 8 101113 16 27 3047 8 810 11 16 261. Compute the quantities n, Σ x, y, Σx², Cy², Σxy2. 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 approximatelinear relationship between x and y.6. Section 13.2Given the data of question 5, conduct a hypothesis test of the null hypothesis Hoẞ = 0 at a significancelevel of α = 0.05.

#5 Section 13.1 1. To compute the quantities n, ∑x, ∑y, ∑x², ∑y², and ∑xy, we first need to organize…

Answered: 5. Section 13.1 A study to assess the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. The values of (x, y) are given by the table 13 x|0|1 2| 3 4 y | 2 | 3 5 | 4 | 6 Find the least square regression line. Estimate the value of y when x = 10
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
2. Consider the foot length and foot width of six female grade 4 students in Morning Star Montessori School in 2006: Length of foot (cm) Y 20.9 Width of foot (cm) X 8.5 24 9 19.6 7.9 22.6 8.8 21 8.8 21.6 9.3 c) What is the least squares regression line for Y as a function of X?
2. Two systems have a continuous load of 105 MW. Find the expected load loss (ELL) of each system if the generation is composed of : a. Six 20 MW hydro generating units each with an availability of 0.9. b. Five 25 MW thermal units each with an unavailability of 0.2.
3. The table provides data associated with a study conducted at the Virginia Polytechnic Institute and State University on the development of a relationship between the roots of trees and the action of a fungus. Minerals are transferred from the fungus to the trees and sugars from the trees to the fungus. Two samples of 10 northern red oak seedlings were planted in a greenhouse, one containing seedlings treated with nitrogen and the other containing seedlings with no nitrogen. All other environmental conditions were held constant. All seedlings contained the fungus Pisolithus tinctorus. The stem weights in grams were recorded after the end of 140 days.
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?
4.5q8
3. Here is an example with some data. Determine the constants m and n by the method of least squares such that y = me fits the following data: 2 4 6 8 10 13 y 4.077 11.064 30.128 81.897 222.62 998.21 Linear regression: y = ax + b a[x² + b[x₁ = [xx • Σx.. ND- Σx. a Nb=
A DIFFERENT WAY Activity No. 2 Directions: Count the unit cubes and find the volume of cach rectangular prism. One U-1 m 10 12 13 Across Down 3. 5. 2. V - V = V = V = m3 8. V = m3 V = m3 10. 10. V = m3 V = m3 m3 Page 21 of 108
4. Given the following data, do a quadratic least squares polynomial fit using P2(r) = ao + a1r + azx?. Yi Yi Yi -1.0 7.904 -0.3 0.335 0.4 -0.711 0.224 0.689 -0.9 7.452 -0.2 -0.271 0.5 -0.8 5.827 -0.1 -0.963 0.6 0.7 -0.7 4.400 -0.847 0.861 -0.6 2.908 0.1 -1.278 0.8 1.358 -0.5 2.144 0.2 -1.335 0.9 2.613 -0.4 0.581 0.3 -0.656 1.0 4.599

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