Homework 3 with Solutions for Regression Analysis | STA 4210, Assignments of Statistics

Download Homework 3 with Solutions for Regression Analysis | STA 4210 and more Assignments Statistics in PDF only on Docsity! STA 4210 – Homework #3 – Due Oct. 29 1) Download the U.S. Domestic Average Airfare data set. It will be used to fit a multiple linear regression model, relating average fare (Y) to distance (X1), passengers (X2), and market share of largest provider (X3). Complete the following parts. Conduct all tests at =0.05 significance level. a) Take a random sample of n=50 routes. b) Plot Y versus each predictor variable c) Fit the multiple regression model, write out the fitted equation d) Give the Analysis of Variance e) Test 0: 3210  H vs the alternative they are not all equal f) Test to determine whether any of the partial regression coefficients are 0 g) What fraction of the variation in the prices is “explained” by the model h) Plot the residuals versus the fitted values i) Reproduce parts a)-b) in matrix form using a matrix computer language. Hint: To obtain a random sample, generate a random number for each observation in the population. Then sort the entire data set by that number. The first 50 observations will be your random sample.