Fall 2024 Business Econometrics Assignment 1 PDF

FALL 2024 BUSINESS ECONOMETRICS (ECO601) ASSIGNMENT 01 MARKS: 10 DUE DATE: 20 November 2024 Instructions: This assignment is an individual assignment. This assignment aims to develop the foundation for econometrics. The answers should include all steps that are...

FALL 2024 BUSINESS ECONOMETRICS (ECO601) ASSIGNMENT 01 MARKS: 10 DUE DATE: 20 November 2024 Instructions: This assignment is an individual assignment. This assignment aims to develop the foundation for econometrics. The answers should include all steps that are performed. There should be no appendices. All results must be included in the work. Read each task carefully and ensure that your answers are detailed and clear. Use appropriate graphs, formulas, and explanations to support your answers. Submit the assignment in a typed format (Word) by 20-11-2024. Tasks: 1. Task 1: Given the following data points for the monthly income of individuals: Ali: 75000, Faisal: 42000, Iqbal: 33000, Noreen: 65000 Calculate the summation of their incomes using the summation notation ∑. Show all steps. (02 marks) 2. Task 2: Given the linear function Y=5+2X, where Y is the dependent variable and X is the independent variable, calculate the value of Y for X=1,2,3,4,5. Plot these points on a graph and draw the line representing the function. (02 marks) 3. Task 3: For the quadratic function 𝑌 = 2𝑋 2 + 3𝑋 + 5, calculate the value of Y when X=−2, −1,0,1,2. Plot these points on a graph and identify whether the graph shows a maximum or minimum. (02 Marks) 4. Task 4: Estimate a linear regression Y on X from the following data. Find the trend values and compute the errors. (02 Marks) Y 45 42 41 37 36 31 33 36 29 27 X 1 5 6 9 9 10 9 11 10 12 5. Task 5: Consider the function 𝑍 = 2𝑋 2 + 3𝑌 2 + 5𝑋𝑌 Compute the partial 𝜕𝑍 𝜕𝑍 derivatives 𝜕𝑋 and 𝜕𝑌. Show all steps. (02 marks)