Mathematics

Given a dataset of 40 items attached (Data_assignment1.csv bellow), where the left column is the independent variable (x) and the right column is the dependent variable (y). Question 1 (5 mark)Use the gradient descent method to fit a linear regression function (i.e., f(x)=?0+?1×1) to the data, where the learning rate is set to 0.01, and the number of iterations is 10,000. Here you need to report the estimated function (i.e., ?0 and ?1 ) and its corresponding mean squared error on the dataset.Question 2 (5 marks)Use the gradient descent method to fit a 3-order polynomial regression function (i.e., f(x)=?0+?1x+?2×2+?3×3) to the data. You are free to choose learning rate and the number of iterations as long as it achieves a reasonable fit. Here you need to report the estimated function and its corresponding mean squared error, along with the learning rate and the number of iterations you used.Question 3 (15 marks)Let us say that you want to select a model based on the dataset for prediction of new data in future. Answer the two questions below.3.1 (10 marks) Which model (from linear to 5-order polynomial) is the fittest for the dataset? Here you need to give steps of your model selection procedure.3.2 (5 marks) What is your predicted regression function. Here you need to explain briefly how you estimate the function after the model is determined, and to report the estimated function and its corresponding mean squared error, along with the learning rate and the number of iterations you used.You may refer to the following Python code on dividing a dataset into folds for the k-folder cross validation.——————————————————————————–np.random.shuffle(data)  # Shuffle all rowsfolds = np.array_split(data, k)  # split the data into k foldsfor i in range(k): x_cv = folds[i][:, 0]  # Set ith fold for testing y_cv = folds[i][:, 1] new_folds = np.row_stack(np.delete(folds, i, 0)) # Remove ith fold for training x_train = new_folds[:, 0]  # Set the remaining folds for trainingy_train = new_folds[:, 1]

Explain the difference between interior and exterior angles of a polygon. Identify two theorems related to angles of a polygon and give an example of an application of each.

The objective of Week 3 Lab is to evaluate an application of linear programming such as a transportation problem using Solver in ExcelDeliverablesSubmit a Word document with your answers to Steps 2–5.CategoryStep 2:Complete Problem 5-56 from Chapter 5 in the textbook.Formulate and solve (Using Solver) Problem 5-56. This should include setting up an accurate model.Step 3:Create a table showing shipments.Create a table showing the shipments that minimize cost. Note the total cost.Step 4:Explain results to CEO.Explain what the results show as if you are talking to your company president. Explanation should include reporting results from the data and also analyzing the results with good discussion of what the results mean for the manager or CEO.Step 5:Describe what you learned.Lastly, describe what you learned in this assignment and how long it took you to complete it (minus the text reading part).

Data Presentation: Using the 2 articles attached (one with grouped frequency distribution chart and the other with a frequency polygon):  Summarize each study’s abstract Take a screenshot or picture of the study’s chart  Explain how this particular chart, graph, or visual is relevant to the study’s efficacy You will complete the above-mentioned points twice, once each for each article Explain ow both methods/charts relate and differentiate.

Explain the abbreviations in the Equations and give examples on the following Financial Accounting Equations:Find the equations in the attachments.Explain what does each abbreviation mean, where can we get it from and how we solve the equation.

In order to complete assignment #6 you will need to answer the below questions. Please complete the questions in a Word document and then upload the assignment for grading. When assigning a name to your document please use the following format (last name_Assignment #6). Use examples from the readings, lecture notes and outside research to support your answers. The assignment must be a minimum of 1-full page in length with a minimum of 2 – outside sources. Please be sure to follow APA guidelines for citing and referencing source. Assignments are due by 11:59 pm Eastern time on Sunday. BIOMETRICS   Using the Internet and other sources, research the topic of biometrics. What type of biometrics is the most accurate? The lease accurate? Are specific biometric devices more realistic than others? Write a one-page paper on your findings.

Discuss how it Metrics “2” works (word count 175) Three metrics that are – or should be – used to determine how well the staffing process meets the needs of the organization ( Google) APA

Factors and Multiples Part 1: Step 1: Collect the ages of 7 people of interest to you. These can be friends, family members, celebrities, historical figures, etc. Make a list of the 7 ages. (For example, I can have a list of ages of 12, 35, 37, 31, 24, 9, and 86) Part 2: (Representing Factors and Multiples) Step 2: Choose two different ages from the list of 7 that are composite numbers. Step 3: List all the factors for each composite number chosen in step 2. Step 4: Choosing one of the composite numbers from step 2, represent all the factors using the bar model. Step 5: Choosing one of the composite numbers from step 2 (it can be the same number from step 4 or you can choose your other composite number from step 2), represent all the factors of that number using the rectangular model. Part 3: (Divisibility Tests) Step 6: Create two numbers using different combinations of your 7 ages by placing them side by side to form a new number. (For example, using my 7 ages I can create the new numbers 1,235,373,124,986 and 8,692,437,311,235) Step 7: Do each of the numbers in step 6 have 2 as a factor? Explain using the divisibility test for 2. Step 8: Do each of the numbers in step 6 have 5 as a factor? Explain using the divisibility test for 5. Step 9: Do each of the numbers in step 6 have 3 as a factor? Explain using the divisibility test for 3. Step 10: Do each of the numbers in step 6 have 9 as a factor? Explain using the divisibility test for 9. Step 11: Do each of the numbers in step 6 have 6 as a factor? Explain using the divisibility test for 6. Step 12: Do each of the numbers in step 6 have 4 as a factor? Explain using the divisibility test for 4. Step 13: Do each of the numbers in step 6 have 8 as a factor? Explain using the divisibility test for 8. Part 4: (The Divisibility Properties) Step 14: Choose a number that when divided by 7 has a remainder of 1. Step 15: Choose a number that when divided by 7 has a remainder of 0. Step 16: Choose a number that when divided by 7 has a remainder of 6. Step 17: If you take the numbers from step 14 and 15 and add them together, will their sum be divisible by 7? Explain with the bar model. Is this a divisibility property? Step 18: If you take the numbers from step 14 and 16 and add them together, will their sum be divisible by 7? Explain with the bar model. Is this a divisibility property? Step 19: If I multiply the number from step 15 by 2, will that new product be divisible by 7? Explain with the bar model. Is this a divisibility property?

Answer these questions please attach excel file as well Orange products has two plants “I” and “II” which produce smart watch hardware. There are 100 units of hardware available in plant “I” and 110 units available in plant “II”. The hardware are to be shipped to two main assembly plants A and B. The shipping costs per unit to assembly plants A and B from Plants I and II are as follows: To From A B I 100 60 II 120 70 a) In November, Assembly A needs 80 units and assembly B needs 70 units of hardware. Find how many units must be shipped from either plant I and II to each one of A and B so that the shipping costs are to be kept to the minimum. b) How much can the shipment cost from plant “I” to plant “A” change without affecting the optimal solution? (Find the range of the cost per unit without affecting the solution) c) Find the range for number of units (instead of 110 units) that plant “II” can provide without changing (the fact that there is an) optimal solution. Does it mean that any number in this range would not change the optimal solution? What is your interpretation of this range of numbers? d) Find and interpret the shadow price for plant “II”. Please make sure that you submit the solutions and graphs, not just the equations and final answers.

Walden Attachment – Looking at the Excel output, and the Regression Equation they wrote out, interpret the slope of their Regression Equation.  Use the Regression Equation to make a prediction and show the work for your predicted value based on your expression.   For Example, if the attachment used Year to predict Price, plug in a Year value into the regression equation and use it to predict the Price of a vehicle.  Does this predicted Price value make sense with their data? Jackson Attachment – It is important to remember that typically a two-factor regression model cannot accurately describe the entire situation. Look at the dependent variable on attachment. Name at least 2 independent factors you would use to run a Multiple Linear Regression (MLR) and explain why you feel they are related.  Then use those factors to run a Multiple Linear Regression (MLR) on the attached data and see if the variables you chose are related to the dependent variable they chose.  What is your MLR equation?  Is your MLR significant?  Are any of the Independent factors significant?  What is the R2 value?  Explain and interpret this value and how it relates to the MLR.  Make sure you include your MLR Excel output as an attachment in your response post.