3. An airline designs a study to evaluate the fuel usage by a certain type of aircraft. From a random sample of 50 fligh
Posted: Thu May 05, 2022 7:33 pm
3. An airline designs a study to evaluate the fuel usage by a certain type of aircraft. From a random sample of 50 flights, the flight distance (in hundreds of miles) and the fuel usage (in hundreds of gallons) are recorded. Let X be the flight distance and Y be the fuel usage. A simple linear regression model is used to describe the relationship between X and Y: Y = Bo + B₁X + € The error term has mean zero and variance 2. Summary statistics of the sample flights are given below. n = 50, X = 11.799, Y=6.379, s = 19.430,s=3.581, sxy = 8.111 Calculate the estimates of 30 and 31. (a) (10 points) (b) (10 points) Construct a 95% two-sided confidence interval for 3₁. (c) (15 points) Fill in the ANOVA table below and provide necessary computation details. Source df SS MS Fstat Explained Residual (d) (5 points) Calculate the coefficient of determination R².