ISYE 6414 Homework 1: Quiz format for True/False and Multiple Choice | Graded a+

Question 1 1.5 / 1.5 pts [1.2 Estimation Method] The estimated simple linear regression coefficient, , measures the strength of a linear relationship between the predicting and response variables. β ^ 0 True False See 1.2 Estimation Method is the estimated intercept and does not measure the strength of a linear relationship between the predicting and response variables. β ^ 0 Question 2 1.5 / 1.5 pts [1.2 Estimation Method] In simple linear regression models, we lose three degrees of freedom when estimating the variance of the error terms because of the estimation of the three model parameters . β0, , β1 σ2 True False Correct! See 1.2 Estimation Method "The estimator for is , and is the sum of the squared residuals, divided by n - 2." We lose two degrees of freedom because the variance estimator, , uses only the estimates for , and in its calculation. σ2 σ^2 σ^2 β0 β1 Question 3 1.5 / 1.5 pts [1.2 Estimation Method] In simple linear regression, the sampling distribution for the variance estimator is (chi-squared) regardless of whether the assumptions of the model hold or not. χ2 True False Correct! See 1.2 Estimation Method "The sampling distribution of the estimator of the variance is chi-squared, with n - 2 degrees of freedom (more on this in a moment). This is under the assumption of normality o