MAN 303-Fall PROJECT Deadline for submission: 27 December 2021 Note: For question 3 you should create your own data set. Every student should have their own data set (observation should be different). 1) Before the codes, write question numbers ####Q1, Q2,Q3 .#### (5 points) 2) Create a 4x4 matrix called mymatrix (35 points) Same as (You should use the elements of this matrix): 25 15 21 61 mymatrix= 45 22 32 51 55 33 42 41 65 44 52 31 3) Create data frame called mydata by using data editor (35 Points). There will be 5 variables called age ,income, gender, schooling, weight. There are 15 observations. (Observations should be from your family and relatives: you, your mom, your dad, your uncle etc...) age: observations should be from your family including you (you should write your age at the first observation ) income: observations should be from your family including you (you should write your income at the first observation etc...) gender: female or male- observations should be from your family including you (you should write your gender at the first observation etc...) schooling: years of schooling observations: should be from your family including you (you should write your years of schooling at the first observation etc...) weight: should be from your family including you (you should write your weight at the first observation etc ) 4) Test the true average income (the variable from mydata) is and write the interpretation of the result. (5 points) (You should determine value of u). 5) Run a linear regression model (OLS) where income is dependent variable while age and schooling are independent variables a. Summarize the regression (5 points). b. Write the calculated p_value of the coefficients and test whether the coefficients are significantly different then 0 or not. And write the interpretation of these coefficents (7.5 points). c. Write p-value of the calculated F statistic and write the interpretation according to that (7.5 points)